Subwoofer

a 12" subwoofer driver without an enclosure

A subwoofer (or simply "sub") is a woofer, or a complete loudspeaker typically between 8" and 21" in diameter, which is dedicated to the reproduction of low-pitched audio frequencies (the "bass"). The typical frequency range for a subwoofer is about 20–200 Hz for consumer products,[1] below 100 Hz for professional live sound,[2] and below 80 Hz in THX-approved systems.[3] Because of their limited frequency range, most subwoofers are used to augment the output of loudspeakers covering higher frequency bands.

Subwoofers are made up of one or more woofers in a well-braced wood or plastic loudspeaker enclosure, in one of a variety of designs, including bass reflex (with a port or tube in the enclosure), infinite baffle, horn-loaded, and bandpass designs, each of which has advantages and disadvantages in efficiency, size, distortion, cost, and power handling. Passive subwoofers have a subwoofer driver and enclosure and they are powered by an external amplifier. Active subwoofers include a built-in amplifier.[4]

The first subwoofers were developed in the 1960s to add bass response to home stereo systems. Subwoofers came into greater popular consciousness in the 1970s with the introduction of Sensurround in movies such as Earthquake, which produced loud low-frequency sounds through large subwoofers. With the advent of the compact cassette and the compact disc in the 1980s, the easy reproduction of deep and loud bass was no longer limited by the ability of a phonograph record stylus to track a groove,[5] and producers could add more low frequency content to recordings. As well, during the 1990s, DVDs were increasingly recorded with "surround sound" processes that included a Low Frequency Effects (LFE) channel, which could be heard using the subwoofer in home theater systems. During the 1990s, subwoofers also became increasingly popular in home stereo systems, custom car audio installations, and in PA systems. By the 2000s, subwoofers became almost universal in sound reinforcement systems in nightclubs and concert venues.

Contents

History

The very first subwoofer was developed during the 1960s by Ken Kreisel, the former president of the Miller & Kreisel Sound Corporation in Los Angeles. When Kreisel's business partner, Jonas Miller, who owned a high-end audio store in Los Angeles, told Kreisel that some purchasers of the store's high-end electrostatic speakers had complained about a lack of bass response in the electrostatics, Kreisel designed a powered woofer that would reproduce only those frequencies that were too low for the electrostatic speakers to convey.[6] Infinity's full range electrostatic speaker system that was developed during the 1960s also used a woofer to cover the lower frequency range that its electrostatic arrays did not handle adequately.

The first use of a subwoofer in a recording session was in 1973 for mixing the Steely Dan album Pretzel Logic when recording engineer Roger Nichols arranged for Kreisel to bring a prototype of his subwoofer to Village Recorders.[7] Further design modifications were made by Kreisel over the next ten years, and in the 1970s and 1980s by engineer John P. D'Arcy; record producer Daniel Levitin served as a consultant and "golden ears" for the design of the crossover network (used to partition the frequency spectrum so that the subwoofer would not attempt to reproduce frequencies too high for its effective range, and so that the main speakers would not need to handle frequencies too low for their effective range).

Subwoofers received a great deal of publicity in 1974 with the movie Earthquake which was released in Sensurround. Initially installed in 17 U.S. theaters, the Sensurround system used large subwoofers which were driven by racks of 500 watt amplifiers which were triggered by control tones printed on one of the audio tracks on the film. Four of the subwoofers were positioned in front of the audience under (or behind) the film screen and two more were placed together at the rear of the audience on a platform. Powerful noise energy in the range of 17 Hz to 120 Hz was generated at the level of 110–120 decibels of sound pressure level, abbreviated dB(SPL). The new low frequency entertainment method helped the film become a box office success. More Sensurround systems were assembled and installed. By 1976 there were almost 300 Sensurround systems leapfrogging through select theaters. Other films to use the effect include the WW II naval battle epic Midway in 1976 and Rollercoaster in 1977.[8]

For owners of 33 rpm LPs and 45 singles, loud and deep bass was limited by the ability of the phonograph record stylus to track the groove.[5] Some hi-fi aficionados solved the problem by using reel-to-reel tape players which were capable of delivering accurate, naturally deep bass from acoustic sources, or synthetic bass not found in nature. With the popular introduction of the compact cassette and the CD, it became possible to add more low frequency content to recordings, and satisfy a larger number of consumers.[9] Home subwoofers grew in popularity, as they were easy to add to existing multimedia speaker setups and they were easy to position or hide.[10]

Construction and features

Loudspeaker and enclosure design

Cross-section of a subwoofer drive unit. Image not to scale.

Subwoofers use speaker drivers (woofers) typically between 8" and 21" in diameter. Some uncommon subwoofers use larger drivers, and single prototype subwoofers as large as 60" have been fabricated.[11] On the smaller end of the spectrum, subwoofer drivers as small as 4" may be used, depending on the design of the loudspeaker enclosure, the desired sound pressure level, the lowest frequency targeted and the level of permitted distortion. The most common subwoofer driver sizes used for sound reinforcement are 10-, 12-, 15- and 18-inch models. The largest available sound reinforcement subwoofers, 21" drivers, are less commonly seen.

The efficiency of a speaker driver is given by:

\eta_0 = \left(\frac{4 \pi^2 F_s^3 V_{as}}{c^3 Q_{es}}\right)\times100\�%

Where the variables are Thiele/Small parameters. Deep low frequency extension is a common goal for a subwoofer and small box volumes are also considered desirable. Hoffman's Iron Laws therefore mandate low efficiency under those constraints, and indeed most subwoofers require considerable power, much more than other individual drivers.

So for the example of a sealed speaker box, the box volume to achieve a given Qts is proportional to Vas:

V_b = \frac{V_{as}}{\alpha} Where: \alpha = \frac{Q_{tc}}{Q_{ts}}^2-1

Therefore a decrease in box volume and the same F3 will decrease the efficiency of the sub woofer. Similarly the F3 of a speaker is proportional to Fs:

F_c = \frac{(Q_{tc}F_s)}{Q_{ts}}

As the efficiency is proportional to Fs3, small improvements in low frequency extension with the same driver and box volume will result in very significant reductions in efficiency. For these reasons, subwoofers are typically very inefficient at converting electrical energy into sound energy. This combination of factors accounts for the higher power output of subwoofer amplifiers, and the requirement for greater power handling for subwoofer drivers. Enclosure variations (e.g., bass reflex designs) are sometimes used for subwoofers to increase the efficiency of the driver/enclosure system, helping to reduce the amplifier power requirement.

Subwoofer mounted in a sealed enclosure

Subwoofers have been designed using a number of enclosure approaches: bass reflex, acoustic suspension, infinite baffle, horn loaded, tapped horn, transmission line and bandpass. Each enclosure type has advantages and disadvantages in efficiency increase, bass extension, cabinet size, distortion, and cost. Subwoofers are typically constructed by mounting one or more woofers in a cabinet of medium-density fibreboard (MDF), oriented strand board (OSB), plywood, plastic or other dense materials. Because of the high power they use, subwoofers often require strong internal crossbracing to add strength and reduce box resonances.

There is a great deal of variety in the size of enclosures and, in the case of bass reflex systems, vent designs. When two or more subwoofers are placed in the same enclosure, they work together to move a greater mass of air, resulting in lower frequency extension. For example, if a single 12" subwoofer enclosure can go down to 40 Hz, a larger enclosure with four of these 12" drivers may be able to go to 30 Hz.

The smallest subwoofers are typically those designed for home theater users with limited space. The largest common subwoofer enclosures are those used for concert sound reinforcement systems or nightclub sound systems. An example of a large concert subwoofer enclosure is the 1980s-era ElectroVoice MT-4 "Bass Cube" system, which used four 18" drivers. An example of a subwoofer that uses a bass horn is the Bassmaxx B-Two, which loads an 18" driver onto an 11-foot (3.4 m) long folded horn. Folded horn-type subwoofers can typically produce a deeper range with greater efficiency than the same driver in an enclosure that lacks a horn. Some experimental fixed-installation subwoofer horns have been constructed using brick and concrete to produce a very long horn that allows a very deep sub-bass extension.[12]

Subwoofer output level can be increased by increasing cone surface area or by increasing cone excursion. Since large drivers require undesirably large cabinets, most subwoofer drivers have large excursions. Unfortunately, high excursion, at high power levels, tends to produce more distortion from inherent mechanical and magnetic effects in electro-dynamic drivers (the most common sort). The conflict between assorted goals can never be fully resolved; subwoofer designs are necessarily compromises. Hoffman's Iron Law (the efficiency of a woofer system is directly proportional to its cabinet volume and to the cube of its cutoff frequency) applies to subwoofers just as to all loudspeakers.[13]

Frequency range and frequency response

The typical frequency range for a subwoofer is between 20–200 Hz.[1] Professional concert sound system subwoofers typically operate below 100 Hz,[2] and THX-approved systems in movie theaters operate below 80 Hz.[3] The frequency response specification of a speaker "attempts to describe the range of frequencies or musical tones a speaker can reproduce, measured in Hertz" [14] Subwoofers vary in terms of the range of pitches that they can reproduce, depending on a number of factors such as the size of the cabinet and the construction and design of the enclosure and driver(s). Specifications of frequency response depend wholly for relevance on an accompanying amplitude value—measurements taken within a wider amplitude range will give any loudspeaker a wider frequency response. For example, the JBL 4688 TCB Subwoofer System, a now-discontinued system which was designed for movie theaters, had a frequency response of 23–350 Hz when measured within a 10-decibel boundary (0 dB to -10 dB) and a narrower frequency response of 28–120 Hz when measured within a six-decibel boundary (±3 dB).[15]

As well, subwoofers vary in regards to the sound pressure levels achievable and the distortion levels they can produce over their range. The Abyss subwoofer, for example can reproduce pitches from 18 Hz (which is about the pitch of the lowest rumbling notes on a huge pipe organ with 32-foot (9.8 m) bass pipes) to 120 Hz (±3 dB). Nevertheless, even though the Abyss subwoofer can go down to 18 Hz, its lowest frequency and maximum SPL with a limit of 10% distortion at 2 meters in a large room is 35.5 Hz at 79.8 dB.[16] This means that a person choosing a subwoofer needs to consider more than just the lowest pitch that that sub can reproduce.

Amplification

'Active subwoofers' include their own dedicated amplifiers within the cabinet. Some also include user-adjustable equalization that allows boosted or reduced output at particular frequencies; these vary from a simple "boost" switch, to fully parametric equalizers meant for detailed speaker and room correction. Some such systems are even supplied with a calibrated microphone to measure the subwoofer's in-room response, so the automatic equalizer can correct the combination of subwoofer, subwoofer location, and room response to minimize effects of room modes and improve low frequency performance.

'Passive subwoofers' have a subwoofer driver and enclosure, but they do not include an amplifier. They sometimes incorporate internal passive crossovers, with the filter frequency determined at the factory. These are generally used with third-party power amplifiers, taking their inputs from active crossovers earlier in the signal chain. While few high-end home-theater systems use passive subwoofers, this format is still popular in the professional sound industry.[17] Using a passive subwoofer adds flexibility for the user, because the user can select which type of amplifier (Class AB or Class D, for example); brand of amplifier; or features (e.g., limiting to prevent distortion) that they want to use with their speaker or speakers.

Equalization

Equalization can be used to adjust the in-room response of a subwoofer system. Designers of active subwoofers sometimes include a degree of corrective equalization to compensate for known performance issues (e.g., a steeper than desired low end roll-off rate). In addition, many amplifiers include an adjustable low-pass filter, which prevents undesired higher frequencies from reaching the subwoofer driver. For example, if a listener's main speakers are usable down to 80 Hz, then the subwoofer filter can be set so the subwoofer only works below 80.[3] Realizable filter behavior does not permit such sharp cutoffs, so some overlap is to be expected and must be compensated for. Digital crossover filters can produce sharper and more precise cutoff characteristics than analog filters. The crossover section may also include a high-pass "infrasonic" filter which prevents the subwoofer driver from attempting to reproduce frequencies below its safe capabilities.

Some systems use parametric equalization in an attempt to correct for room frequency response irregularities.[18] Equalization is often unable to achieve flat frequency response at all listening locations in part because of the resonance (i.e., standing wave) patterns at low frequencies in nearly all rooms. Careful positioning of the subwoofer within the room can also help flatten the frequency response.[19] Multiple subwoofers can manage a flatter general response since they can often be arranged to excite room modes more evenly than a single subwoofer, allowing equalisation to be more effective.[20]

Phase control

Changing the relative phase of the subwoofer with respect to the woofers in other speakers may or may not help to minimize unwanted destructive acoustic interference in the frequency region covered by both subwoofer and main speakers. It may not help at all frequencies, and may create further problems with frequency response, but is even so generally provided as an adjustment for subwoofer amplifiers.[21] Phase control circuits may be a simple polarity reversal switch or a more complex continuously variable circuits.

Continuously variable phase control circuits are common in subwoofer amplifiers, and may be found in crossovers and as do-it-yourself electronics projects.[22][23][24][25][26] Phase controls allow the listener to change the arrival time of the subwoofer sound waves relative to the same frequencies from the main speakers (i.e., at and around the crossover point to the subwoofer). A similar effect can be achieved with the delay control on many home theater receivers. The subwoofer phase control found on many subwoofer amplifiers is actually a polarity inversion switch.[27] It allows users to reverse the polarity of the subwoofer relative to the audio signal it is being given. This type of control allows the subwoofer to either be in phase with the source signal, or 180 degrees out of phase.

Back panel of a Polk subwoofer. Notice consumer line-level and speaker-level inputs, the polarity switch and the crossover frequency control.

Servo subwoofers

Some active subwoofers use a servo feedback mechanism based on cone movement which modifies the signal sent to the voice coil. The servo feedback signal is derived from a comparison of the input signal to the amplifier versus the actual motion of the cone. The usual source of the feedback signal is a few turns of voice coil attached to the cone or a microchip-based accelerometer placed on the cone itself.[28][29] An advantage of a well-implemented servo subwoofer design is reduced distortion making smaller enclosure sizes possible.[30] The primary disadvantages are cost and complexity.[31]

Servo controlled subwoofers are not the same as Servodrive subwoofers whose primary mechanism of sound reproduction avoids the normal voice coil and magnet combination in favor of a high-speed belt-driven servomotor. The Servodrive design increases output power, reduces harmonic distortion and virtually eliminates the loss of loudspeaker output that results from an increase in voice coil impedance due to overheating of the voice coil (called power compression.) This feature allows high power operation for extended periods of time.[32][33][34] Intersonics was nominated for a TEC Award for its Servo Drive Loudspeaker (SDL) design in 1986 and for the Bass Tech 7 model in 1990.[35][36]

Applications

Home audio

The use of a subwoofer augments the bass capability of the main speakers, and allows them to be smaller without sacrificing low frequency capability. A subwoofer does not necessarily provide superior bass performance in comparison to large conventional loudspeakers on ordinary music recordings due to the typical lack of very low frequency content on such sources. However, there are recordings with substantial low frequency content that most conventional loudspeakers are ill-equipped to handle without the help of a subwoofer, especially at high playback levels, such as music for pipe organs with 32' bass pipes (16 Hz), very large bass drums on symphony orchestra recordings and electronic music with extremely low synth bass parts.

Low frequencies are not easily localized; hence many stereo and multichannel audio systems feature only one subwoofer channel and a single subwoofer can be placed off-center without affecting the perceived sound stage, since the sound produced is difficult to localize. The intention in a system with a subwoofer is often to use small main ("satellite") speakers (of which there are two for stereo and five or more for surround sound or movie tracks) and to hide the subwoofer elsewhere (e.g. behind furniture or under a table), or to augment an existing speaker to save it from having to handle woofer-destroying low frequencies at high levels.

Some users add a subwoofer because high levels of low bass are desired, even beyond what is in the original recording, as in the case of house music enthusiasts. Thus, subwoofers may be part of a package that includes satellite speakers, may be purchased separately, or may be built into the same cabinet as a conventional speaker system. For instance, some floor standing tower speakers include a subwoofer driver in the lower portion of the same cabinet. Physical separation of subwoofer and "satellite" speakers not only allows placement in an inconspicuous location, but since sub-bass frequencies are particularly sensitive to room location (due to room resonances and reverberation 'modes'), the best position for the subwoofer is not likely to be where the "satellite" speakers are located.

The 1987 Bose Acoustimass 5 stereo bass driver contained one six-inch (152 mm) driver per channel and provided crossover filtering for its two satellites[37]

For greatest efficiency and best coupling to the room's air volume, subwoofers can be placed in a corner of the room, far from large room openings, and closer to the listener. This is possible since low bass frequencies have a long wavelength; hence there is little difference between the information reaching a listener's left and right ears, and so they cannot be readily localized. All low frequency information is sent to the subwoofer. However, unless the sound tracks have been carefully mixed for a single subwoofer channel, it's possible to have some cancellation of low frequencies if bass information in one channel is out of phase with another.

The physically separate subwoofer/satellite arrangement has been popularized by multimedia speaker systems such as Bose Acoustimass Home Entertainment Systems, Polk Audio RM2008 Series and Klipsch Audio Technologies ProMedia.[38][39] Low-cost "home theater in a box" systems advertise their integration and simplicity.

Particularly among low cost "Home Theater in a Box" systems and with "boom boxes", however, inclusion of a subwoofer may be little more than a marketing device. It is unlikely that a small woofer in an inexpensively-built compact plastic cabinet will have better bass performance than well-designed conventional (and typically larger) speakers in a plywood or MDF cabinet. Mere use of the term "subwoofer" is no guarantee of good or extended bass performance. Many multimedia "subwoofers" might better be termed "bass drivers" as they are too small to produce deep bass.

Further, poorly designed systems often leave everything below about 120 Hz (or even higher) to the subwoofer, meaning that the subwoofer handles frequencies which the ear can use for sound source localization, thus introducing an undesirable subwoofer "localization effect". This is usually due to poor crossover designs or choices (too high crossover point or insufficient crossover slope) used in many computer and home theater systems; localization also comes from port noise and from typically large amounts of harmonic distortion in the subwoofer design. Home subwoofers sold individually usually include crossover circuitry to assist integration into an existing system.

Car audio

A number of subwoofers in a car hatchback

Automobiles are well suited to the "hidden" subwoofer approach due to space limitations in the passenger compartments. It is not possible, in most circumstances, to fit such large drivers and enclosures into doors or dashboards, so subwoofers are installed in the trunk or back seat space. Some car audio enthusiasts compete to produce very high sound pressure levels in the confines of their vehicle's cabin; sometimes dangerously high. The "SPL wars" have drawn much attention to subwoofers in general, but subjective competitions in sound quality ("SQ") have not gained equivalent popularity. Top SPL cars are not able to play normal music, or perhaps even to drive normally as they are designed solely for competition. Many subwoofers are capable of generating high levels in cars due to the small volume of a typical car interior. High sound levels can cause hearing loss and tinnitus if one is exposed to them for an extended period of time.[40]

A homemade car audio subwoofer speaker box with a 15 inch Boss Audio subwoofer and an empty space for a second driver

In the 2000s, several car audio manufacturers have produced subwoofers using non-circular shapes from manufacturers, including Kicker, Sony, Bazooka, and X-Tant. These shapes typically carry some sort of distortion penalties.[41][42][43] In situations of limited mounting space they provide a greater cone area and assuming all other variables are constant, greater maximum output. An important factor in the "square sub vs round sub" argument is the effects of the enclosure used. In a sealed enclosure, the maximum displacement is determined by

V_\mathrm{d} = x_\mathrm{max} \times S_\mathrm{d}

where

These are some of the Thiele/Small parameters which can either be measured or found with the driver specifications.

Cinema sound

After the introduction of Sensurround, movie theater owners began installing permanent subwoofer systems. Dolby Stereo 70 mm Six Track was a six channel film sound format introduced in 1976 that used two subwoofer channels for stereo reproduction of low frequencies. In 1981, Altec introduced a dedicated cinema subwoofer model tuned to 20 Hz: the 8182. Starting in 1983, THX certification of the cinema sound experience quantified the parameters of good audio for watching films, including requirements for subwoofer performance levels and enough isolation from outside sounds so that noise did not interfere with the listening experience.[44] This helped provide guidelines for multiplex cinema owners who wanted to isolate each individual cinema from its neighbors, even as louder subwoofers were making isolation more difficult. Specific cinema subwoofer models appeared from JBL, Electro-Voice, Eastern Acoustic Works, Kintek, Meyer Sound Laboratories and BGW Systems in the early 1990s. In 1992, Dolby Digital's six-channel film sound format incorporated a single low-frequency effects (LFE) channel, the "point one" in 5.1 surround sound.

Tom Horral, a Boston-based acoustician, blames subwoofers for louder cinema sound in general. He says that before subwoofers made it possible to have loud, relatively undistorted bass, movie sound levels were limited by the distortion in less capable systems at low frequency and high levels.[45]

Sound reinforcement

Each stack of speakers in this sound reinforcement setup consists of two EAW SB1000 direct radiating subwoofers (each contains two 18" drivers) and two EAW KF850 full range cabinets for the mid and high frequencies.

Professional audio subwoofers must be capable of very high output levels. This is reflected in the design attention given in recent years to the subwoofer applications for sound reinforcement, public address systems, dance club systems and concert systems. Consumer applications (as in home use) are considerably less demanding due to much smaller listening space and lower playback levels. Subwoofers are now almost universal in professional sound applications such as live concert sound, churches, nightclubs, and theme parks. Movie theatres certified to the THX standard for playback always include high capability subwoofers. Some professional applications require subwoofers designed for very high sound levels, using multiple 12", 15", 18" or 21" drivers. Drivers as small as 10" are occasionally used, generally in horn loaded enclosures.

The number of subwoofer enclosures used in a concert depends on a number of factors, including the size of the venue, whether it is indoors or outdoors, the amount of low-frequency content in the band's sound, the desired volume of the concert, and the design and construction of the enclosures (e.g., direct-radiating versus horn-loaded. A small bar may use a single direct-radiating 15-inch sub cabinet. A large dance club may have a row of four or five twin 18-inch subwoofer cabinets, or more). In the largest stadium venues, there may be a very large number of subwoofer enclosures. For example, the 2009–2010 U2 360° Tour uses 24 Clair Brothers BT-218 subwoofers (a double 18" box) around the perimeter of the central circular stage, and 72 proprietary Clair Brothers cardioid S4 subwoofers placed underneath the ring-shaped "B" stage which encircles the central main stage.[46][47]

The main speakers may be 'flown' from the ceiling of a venue on chain hoists, and 'flying points' (i.e., attachment points) are built into many professional loudspeaker enclosures. Subwoofers can be flown or stacked on the ground near the stage. There can be more than 50 double-18-inch cabinets in a typical concert system. Just as consumer subwoofer enclosures can be made of Medium-density fibreboard (MDF), Oriented strand board (OSB), plywood, plastic or other dense material, professional subwoofer enclosures can be built from the same materials.[48][49] MDF is commonly used to construct subwoofers for permanent installations as its density is relatively high and weatherproofing is not a concern. Other permanent installation subwoofers have used very thick plywood: the Altec 8182 (1981) used 7-ply 28 mm birch-faced oak plywood.[50] Touring subwoofers are typically built from 18–20 mm thick void-free Baltic birch (Betula pendula or Betula pubescens) plywood from Finland, Estonia or Russia; such plywood affords greater strength for frequently transported enclosures.[51] Not naturally weatherproof, Baltic birch is coated with carpet, thick paint or spray-on truck bedliner to give the subwoofer enclosures greater durability.[52][53]

Touring subwoofer cabinets are typically designed with features that facilitate moving the enclosure (e.g., wheels, a "towel bar" handle and recessed handles), a protective grill for the speaker (in direct radiating-style cabinets), metal or plastic protection for the cabinets to protect the finish as the cabinets are being slid one on top of another, and hardware to facilitate stacking the cabinets (e.g., interlocking corners) and for "flying" the cabinets from stage rigging.

Full-range system

In professional concert sound system design, subwoofers can be incorporated seamlessly with the main speakers into a stereo or mono full-range system by using an active crossover. Such a system receives its signal from the main mono or stereo mixing console mix bus and amplifies all frequencies together in the desired balance. If the main sound system is stereo, the subwoofers can also be in stereo. Otherwise, a mono subwoofer channel can be derived within the crossover from a stereo mix, depending on the crossover make and model.

Aux-fed subwoofers

Instead of being incorporated into a full-range system, concert subwoofers can be supplied with their own signal from a separate mix bus on the mixing console; often one of the auxiliary sends ("aux" or "auxes") is used. This configuration is called "aux-fed subwoofers", and has been observed to significantly reduce low frequency "muddiness" that can build up in a concert sound system which has on stage a number of microphones each picking up low frequencies and each having different phase relationships of those low frequencies.[2] The aux-fed subs method greatly reduces the number of sources feeding the subwoofers to include only those instruments that have desired low frequency information; sources such as kick drum, bass guitar, samplers and keys. This simplifies the signal sent to the subwoofers and makes for greater clarity and low punch.[54] Aux-fed subs can even be stereo, if desired, using two auxiliary mix buses.

Directional bass

Cardioid dispersion pattern of two end-fire subwoofers placed one in front of the other. The enclosure nearest the listener is delayed by a few milliseconds.[55]

In order to keep low frequency energy focused on the audience area and not on the stage, and to keep low frequencies from bothering people outside of the event space, a variety of techniques have been developed in concert sound to turn the naturally omnidirectional radiation of subwoofers into a more directional pattern. These techniques include setting up subwoofers in a vertical array; using combinations of delay and polarity inversion; and setting up a delay-shaded system.

Vertical array

Stacking or rigging the subwoofers in a vertical array focuses the low frequencies forward to a greater or lesser extent depending on the physical length of the array. Longer arrays have a more directional effect at lower frequencies. The directionality is more pronounced in the vertical dimension, yielding a radiation pattern that is wide but not tall. This helps reduce the amount of low frequency sound bouncing off the ceiling indoors and assists in mitigating external noise complaints outdoors.

Rear delay array
CSA: Six subwoofers arranged for less bass energy on stage. Signal going to the reversed enclosures is delayed a few milliseconds.

Another cardioid subwoofer array pattern can be used horizontally, one which takes few channels of processing and no change in required physical space. Often called "cardioid subwoofer array" or "CSA",[56] though the pattern of all directional subwoofer methods is cardioid, the method inverts the polarity of one out of every three subwoofers across the front of the stage, and delays those enclosures for maximum cancellation of the target frequency on stage. Polarity inversion can be implemented electronically, or by physically placing the enclosure to face rearward. This method reduces forward output relative to a tight-packed, flat-fronted array of subwoofers, but can solve problems of unwanted low frequency energy coming into microphones on stage. Compared to the end-fire array, this method has less on-axis energy but more even pattern control throughout the audience, and more predictable cancellation rearward. The effect spans a range of slightly more than one octave.[56]

A second method of rear delay array combines end-fire topology with polarity reversal, using two subwoofers positioned front to back, the drivers spaced one-quarter wavelength apart, the rear enclosure inverted in polarity and delayed by a few milliseconds for maximum cancellation on stage of the target frequency.[57] This method has the least output power directed toward the audience, compared to other directional methods.

End-fire array
End-fire array using three rows of subwoofers. Each row is delayed a few milliseconds more than the previous row.

The end-fire subwoofer method, also called "forward steered arrays",[58] places subwoofer drivers co-axially in one or more rows, using destructive interference to reduce emissions to the sides and rear. This can be done with separate subwoofer enclosures positioned front to back with a spacing between them of one-quarter wavelength of the target frequency, the frequency that is least wanted on stage or most desired in the audience. Each row is delayed beyond the first row by an amount related to the speed of sound in air; typically a few milliseconds. The arrival time of sound energy from all the subwoofers is near-simultaneous from the audience's perspective, but is canceled out to a large degree behind the subwoofers because of offset sound wave arrival times. Directionality of the target frequency can achieve as much as 25 dB rear attenuation, and the forward sound is coherently summed in line with the subwoofers.[59] The positional technique of end-fire subwoofers came into widespread use in European live concert sound in 2006.[60]

The end-fire array trades a few decibels of output power for directionality, so it requires more enclosures for the same output power as a tight-packed, flat-fronted array of enclosures. Sixteen enclosures in four rows were used in 2007 at one of the stages of the Ultra Music Festival, to reduce low frequency interference to neighboring stages.[61] Because of the physical size of the end-fire array, few concert venues are able to implement it. The output pattern suffers from comb-filtering off-axis, but can be further shaped by adjusting the frequency response of each row of subwoofers.[58]

Delay-shaded array

A long line of subwoofers placed horizontally along the front edge of the stage can be delayed such that the center subs fire several milliseconds prior to the ones flanking them, which fire several milliseconds prior to their neighbors, continuing in this fashion until the last subwoofers are reached at the outside ends of the subwoofer row. This method helps to counteract the extreme narrowing of horizontal dispersion pattern seen with a horizontal subwoofer array. Such delay shading can be used to virtually reshape a loudspeaker array.[62]

Directional enclosure

Some subwoofer enclosure designs rely on drivers facing to the sides or to the rear in order to achieve a degree of directionality.[63][64] End-fire drivers can be positioned within a single enclosure that houses more than one driver.[65]

Bass instrument amplification

In rare cases, sound reinforcement subwoofer enclosures are also used for bass instrument amplification by electric bass players and synth bass players. For most bands and most small- to mid-size venues (e.g., nightclubs and bars), standard bass guitar speaker enclosures or keyboard amplifiers will provide sufficient sound pressure levels for onstage monitoring.Since a regular electric bass has a low "E" (41 Hz) as its lowest note, most standard bass guitar cabinets are only designed with a range that goes down to about 40 Hz. However, in some cases, performers wish to have extended sub-bass response that is not available from standard instrument speaker enclosures, so they use subwoofer cabinets. Just as some electric guitarists add huge stacks of guitar cabinets mainly for show, some bassists will add immense subwoofer cabinets with 18" woofers mainly for show, and the extension sub cabinets will be operated at a lower volume than the main bass cabinets.

Bass guitar players who may use subwoofer cabinets include performers who play with extended range basses that include a low "B" string (about 31 Hz); bassists who play in styles where a very powerful sub-bass response is an important part of the sound (e.g., funk, Latin, gospel, R & B, etc.); and/or bass players who perform in stadium-size venues or large outdoor venues. Keyboard players who use subwoofers for on-stage monitoring include electric organ players who use bass pedal keyboards (which go down to a low "C" which is about 33 Hz) and synth bass players who play rumbling sub-bass parts that go as low as 18 Hz. Of all of the keyboard instruments that are amplified onstage, synthesizers can produce some of the lowest pitches, because unlike a traditional electric piano or electric organ, which have as their lowest notes a low "A" and a low "C", respectively, a synth does not have a fixed lowest octave. A synth player can add lower octaves to a patch by pressing an "octave down" button, which can produce pitches that are at the limits of human hearing.

Several concert sound subwoofer manufacturers suggest that their subs can be used for bass instrument amplification. Meyer Sound suggests that its 650-R2 Concert Series Subwoofer, a 14-square-foot (1.3 m2) enclosure with two 18-inch drivers, can be used for bass instrument amplification.[66] While performers who use concert sound subwoofers for onstage monitoring may like the powerful sub-bass sound that they get onstage, sound engineers may find the use of large subwoofers (e.g., two 18" drivers) for onstage instrument monitoring to be problematic, because it may interfere with the "Front of House" sub-bass sound.

Bass shakers

Since much very low bass is felt, sub-bass can be 'augmented' using tactile transducers. Unlike a typical subwoofer driver, which produces audible vibrations, tactile transducers produce low-frequency vibrations that are designed to be felt by individuals who are touching the transducer or indirectly through a piece of furniture or a wooden floor. Tactile transducers have recently emerged as a device class, called variously "bass shakers", "butt shakers" and "throne shakers". They are attached to a seat, for instance a drummer's stool ("throne") or gamer's chair, car seat or home theater seating, and the vibrations of the driver are transmitted to the body then to the ear in a manner similar to bone conduction.[67][68] They connect to an amplifier like a normal subwoofer. They can be attached to a large flat surface (for instance a floor or platform) to create a large low frequency conduction area, although the transmission of low frequencies through the feet is not as efficient as the seat.[69]

The advantage of tactile transducers used for low frequencies is that they allow a listening environment that is not filled with loud low frequency waves. This helps the concert drummer to monitor his or her kick drum performance without "polluting" the stage with powerful low frequency waves from a 15" subwoofer monitor. By not having a subwoofer monitor, a bass shaker also enables a drummer to lower the sound pressure levels that he is exposed to during a performance. For home cinema or videogame use, bass shakers help the user avoid disturbing others in nearby apartments or rooms, because even powerful sound effects such as explosion sounds in a war videogame or the simulated rumbling of an earthquake in an adventure film will not be heard by others. However, some critics argue that the felt vibrations are disconnected from the auditory experience, and they claim that that music is less satisfying with the "butt shaker" than sound effects. As well, critics have claimed that the bass shaker itself can rattle during loud sound effects, which can distract the listener.[70]

World record claims

With varying measures upon which to base claims, several subwoofers have been said to be the world's largest, loudest or lowest.

Matterhorn

The Matterhorn is a subwoofer model completed in March 2007 by Danley Sound Labs in Gainesville, Georgia after a U.S. military request for a loudspeaker that could project infrasonic waves over a distance. The Matterhorn was designed to reproduce a continuous sine wave from 15 to 20 Hz, and generate 94 dB at a distance of 250 meters (820 ft), and more than 140 dB for music playback measured at the horn mouth.[71] It can generate a constant 15 Hz sine wave tone at 140 dB for 24 hours a day, seven days a week with extremely low harmonic distortion. The subwoofer has a flat frequency response from 15 to 80 Hz, and is down 3 dB at 12 Hz.[72] It was built within an intermodal container 20 feet (6.1 m) long and 8 by 8 feet (2.4 × 2.4 m) square.[73] The container doors swing open to reveal a tapped horn driven by 40 long-throw 15-inch speaker drivers each powered by its own 1000-watt amplifier.[74][75] The manufacturer claims that 53 13-ply 18 mm 4-by-8-foot (1.2 × 2.4 m) sheets of plywood were used in its construction,[74] though one of the fabricators wrote that double-thickness 26-ply sheets were used for convenience.[76] A diesel generator is housed within the enclosure to supply electricity when external power is unavailable.[73] Of the constant tone output capability, designer Tom Danley wrote that the "target 94 dB at 250 meters is not the essentially fictional 'burst' or 'peak SPL' nonsense in pro sound, or like the 'death burp' signal used in car sound contests."[77] At the annual National Systems Contractors Association (NSCA) convention in March 2007, the Matterhorn was barred from making any loud demonstrations of its power because of concerns about damaging the building of the Orange County Convention Center.[71] Instead, using only a single 20 amp electrical circuit for safety, visitors were allowed to step inside the horn of the subwoofer for an "acoustic massage" as the fractionally powered Matterhorn reproduced low level 10–15 Hz waves.

Royal Device custom installation

Another subwoofer claimed to be the world's biggest is a custom installation in Italy made by Royal Device primarily of bricks, concrete and sound-deadening material[12] consisting of two subwoofers embedded in the foundation of a listening room.[78] The horn-loaded subwoofers each have a floor mouth that is 2.2 square meters (24 sq ft), and a horn length that is 9.5 meters (31 ft), in a cavity 1 meter (3 ft 3 in) under the floor of the listening room. Each subwoofer is driven by eight 18-inch subwoofer drivers with 100 millimeters (3.9 in) voice coils. The designers assert that the floor mouths of the horns are additionally loaded acoustically by a vertical wooden horn expansion and the room's ceiling to create a 10 Hz "full power" wave at the listening position.[78]

Concept Design 60-inch

A single 60-inch (1,500 mm) diameter subwoofer driver was designed by Richard Clark and David Navone with the help of Dr. Eugene Patronis of Georgia Institute of Technology. The driver was intended to break sound pressure level records when mounted in a road vehicle, calculated to be able to achieve more than 180 dBSPL. It was built in 1997, driven by DC motors connected to a rotary crankshaft somewhat like in a piston engine. The cone diameter was 54 inches (1,400 mm) and was held in place with a 3-inch (76 mm) surround. With a 6-inch (150 mm) peak-to-peak stroke, it created a one-way air displacement of 6,871 cubic inches (112,600 cm3).[79] It was capable of generating 5–20 Hz sine waves at various DC motor speeds—not as a response to audio signal—it could not play music. The driver was mounted in a stepvan owned by Tim Maynor but was too powerful for the amount of applied reinforcement and damaged the vehicle.[79] MTX's Loyd Ivey helped underwrite the project and the driver was then called the MTX "Thunder 1000000" (one million).[80] Still unfinished, the vehicle was entered in an SPL competition in 1997 at which a complaint was lodged against the computer control of the DC motor. Instead of using the controller, two leads were touched together in the hope that the motor speed was set correctly. The drive shaft broke after one positive stroke which created an interior pressure wave of 162 dB. The Concept Design 60-inch was not shown in public after 1998.[81]

MTX Jackhammer

The largest production subwoofer intended for use in automobiles is the MTX Jackhammer by MTX Audio which has a 22-inch (560 mm) diameter cone. The Jackhammer can take a total of 6000 watts sent to dual voice coils moving within a 900-ounce (26 kg) strontium ferrite magnet. The Jackhammer weighs 369 pounds (167 kg) and has an aluminum heat sink.[82] The Jackhammer has been featured on the television show Pimp My Ride.[83]

See also

  • Bass management
  • Bass test
  • Mid-range speaker
  • Super Tweeter
  • Rotary Woofer
  • Thiele/Small
  • Tweeter
  • Woofer

References

  1. 1.0 1.1 Barstow, Loren (January 18, 2010). "Home Speakers Glossary". Learn: Home. Crutchfield New Media, LLC. http://www.crutchfield.com/S-guVIljONa12/Learn/learningcenter/home/speakers_glossary.html. Retrieved April 24, 2010. 
  2. 2.0 2.1 2.2 Young, Tom (December 1, 2008). "In-Depth: The Aux-Fed Subwoofer Technique Explained". Study Hall. ProSoundWeb. pp. 1–2. http://www.prosoundweb.com/article/in_depth_the_aux_fed_subwoofer_technique_explained/. Retrieved March 3, 2010. 
  3. 3.0 3.1 3.2 DellaSala, Gene (August 29, 2004). "Setting the Subwoofer / LFE Crossover for Best Performance". Tips & Tricks: Get Good Bass. Audioholics. http://www.audioholics.com/tweaks/get-good-bass/setting-the-subwoofer-lfe-crossover-for-best-performance. Retrieved March 3, 2010. 
  4. "Glossary of Terms". Home Theater Design. ETS-eTech. p. 1. http://www.home-theater-designers.com/glossary.html. Retrieved March 3, 2010. 
  5. 5.0 5.1 Kogen, J. H. (October 1967). "Tracking Ability Specifications for Phonograph Cartridges". AES E-Library. Audio Engineering Society. http://www.aes.org/e-lib/browse.cfm?elib=905. Retrieved April 24, 2010. 
  6. Levitin, D. J. (February 1996). "The Audio Interview: M&K's Ken Kreisel". Audio 80: 28–34. 
  7. Phillips, Wes (March 1997). "Audio Odyssey: Ken Kreisel of M&K". Stereophile. http://www.stereophile.com/interviews/136/. Retrieved April 24, 2010. 
  8. "About Sensurround". The 70mm Newsletter. In70mm.com. January 26, 2010. http://www.in70mm.com/newsletter/2004/69/sensurround/about.htm. Retrieved April 24, 2010. 
  9. "Mastering for vinyl vs. mastering for CD". Record-Producer.com. Masterclass Professional Learning. April 12, 2007. Archived from the original on August 21, 2007. http://web.archive.org/web/20070821055003/http://www.record-producer.com/learn.cfm?a=44. Retrieved April 24, 2010. 
  10. Rodriguez, Matthew; Erika Ross-O'Brien (2006). "Experiences Designing and Building A Subwoofer Amplifier". Rutgers University. http://www.osd.rutgers.edu/gs/06papers/Subwoof.pdf. Retrieved April 24, 2010. 
  11. "Incredible 60-inch Subwoofer". Techeblog.com. March 3, 2006. http://www.techeblog.com/index.php/tech-gadget/incredible-60-inch-subwoofer. Retrieved April 24, 2010. 
  12. 12.0 12.1 Jones, Gordon (July 16, 2008). "The World’s Largest Subwoofer?". Electronic House. http://www.electronichouse.com/article/the_worlds_largest_subwoofer/. Retrieved December 11, 2009. 
  13. Stout, Bob (March 25, 2007). "Hoffman's Iron Law". DIY Loudspeaker Designer's Selection Guide (the LDSG). http://ldsg.snippets.org/appdx-a.php#HOFFMAN. Retrieved April 24, 2010. 
  14. Dicomo, Paul (April 9, 2005). "Understanding Speaker Frequency Response: The Secret Behind The Industry's Most-Cited Spec". Ecoustics.com. http://forum.ecoustics.com/bbs/messages/34579/131062.html. Retrieved April 24, 2010. 
  15. "4688 TCB Subwoofer System". JBL Professional Audio. http://www.jblpro.com/pub/obsolete/4688.pdf. Retrieved April 24, 2010. 
  16. Butterworth, Brent (June 2009). "MartinLogan Feature powered speaker and Abyss subwoofer: Test report". Sound and Vision: 3. http://www.soundandvisionmag.com/content/martinlogan-feature-powered-speaker-and-abyss-subwoofer-0. Retrieved April 24, 2010. 
  17. "JBL Sound System Design Manual, part two". JBL Professional Audio. 1999. http://www.jblpro.com/pub/manuals/pssdm_2.pdf. Retrieved April 24, 2010. 
  18. Messenger, Paul (July 15, 2004). "Bang & Olufsen Beolab 5 Loudspeakers". Ultra Audio. Schneider Publishing. http://www.ultraaudio.com/equipment/bang_olufsen_beolab_5.htm. Retrieved April 24, 2010. 
  19. Plumb, Doug (2000). "Audio Measurement Basics". Acousti Soft Inc.. http://www.etfacoustic.com/basics.html. Retrieved April 24, 2010. 
  20. Welti, Todd (October 30, 2002). "Subwoofers: Optimum Number and Locations". Harman International Industries, Inc. http://www.harman.com/EN-US/OurCompany/Technologyleadership/Documents/White%20Papers/multsubs.pdf. Retrieved April 24, 2010. 
  21. Elliott, Rod (March 2, 2004). "Phase Correction – Myth or Magic". Elliott Sound Products. http://sound.westhost.com/pcmm.htm. Retrieved April 24, 2010. 
  22. Elliott, Rod (January 18, 2004). "Subwoofer Phase Controller". Elliott Sound Products. http://sound.westhost.com/project103.htm. Retrieved April 24, 2010. 
  23. Nicholls, Mallory (July 2002). "Choosing & Installing a Subwoofer". Sound On Sound (SOS Publications Group). http://www.soundonsound.com/sos/jul02/articles/subwoofers.asp. Retrieved April 24, 2010. 
  24. Slone, G. Randy (2001). The Audiophile's Project Sourcebook: 80 High-Performance Audio Electronics Projects. McGraw-Hill Professional. p. 361. ISBN 0071379290. 
  25. White, Joel (2002). Home Theater Solutions. Thomson Course Technology. p. 232. ISBN 192968567X. 
  26. Robjohns, Hugh (April 2007). "All You Wanted to Know About Subwoofers". Sound On Sound (SOS Publications Group). http://www.soundonsound.com/sos/apr07/articles/subwoofers.htm. Retrieved April 24, 2010. 
  27. DellaSala, Gene (August 29, 2004). "The Marriage Between the Subwoofer and Tower Speakers". Audioholics. http://www.audioholics.com/tweaks/get-good-bass/the-marriage-between-the-subwoofer-and-tower-speakers. Retrieved April 24, 2010. 
  28. "Technology". Rythmik Audio. http://www.rythmikaudio.com/technology.html. Retrieved April 24, 2010. 
  29. Doucet, Douglas; Rob Fasani. "Using an Accelerometer to Make an Active Subwoofer". Analog Devices. http://cyrille.pinton.free.fr/electroac/lectures_utiles/asservissement/acceleration/SubServoAccelDoucet.pdf. Retrieved April 24, 2010. 
  30. Calabria, Ralph (April 2004). "Rythmik Direct Servo Powered Subwoofer Kit". Home Theater Hi-Fi. http://www.hometheaterhifi.com/volume_11_2/diy-14-rythmik-directservo-subwoofer-4-2004.html. Retrieved April 24, 2010. 
  31. Deutsch, Robert (December 2004). "Velodyne Digital Drive DD-12 subwoofer". Ultimate AV. http://www.ultimateavmag.com/speakersystems/1204velodyne/. Retrieved April 24, 2010. 
  32. Danley, Thomas J.; Charles A. Rey (October 1983). "A High Efficiency Servo-Motor Driven Subwoofer". AES E-Library. Audio Engineering Society. http://www.aes.org/e-lib/browse.cfm?elib=11721. Retrieved April 24, 2010. 
  33. "BassTech 7". Servodrive, Inc.; Sound Physics Labs. Archived from the original on June 25, 2008. http://web.archive.org/web/20080625032125/http://www.servodrive.com/basstech7.html. Retrieved April 24, 2010. 
  34. Danley, Thomas J.; Charles A. Rey (November 1986). "The Elimination of Power Compression in Servo Drive Loudspeakers". AES E-Library. Audio Engineering Society. http://www.aes.org/e-lib/browse.cfm?elib=5023. Retrieved April 24, 2010. 
  35. "1986 TEC Awards". TEC Foundation. http://tecfoundation.com/tec/1986.html. Retrieved April 24, 2010. 
  36. "1990 TEC Awards". TEC Foundation. http://tecfoundation.com/tec/1990.html. Retrieved April 24, 2010. 
  37. "Acoustimass 5 user manual". Bose. 1987. http://products.bose.com/pdf/customer_service/owners/am5_guide.pdf. Retrieved April 24, 2010. 
  38. "RM Series". Polk Audio. http://www.polkaudio.com/homeaudio/rm2008/. Retrieved April 24, 2010. 
  39. "ProMedia Ultra 5.1". Klipsch. http://www.klipsch.com/products/details/promedia-ultra-5-1.aspx. Retrieved April 24, 2010. 
  40. Passchier-Vermeer W, Passchier WF (2000). "Noise exposure and public health". Environ. Health Perspect. 108 Suppl 1: 123–131. doi:10.2307/3454637. PMID 10698728. PMC 1637786. http://jstor.org/stable/3454637. 
  41. "Are square subs better or worse than round subs?". AutoQnA. http://www.autoqna.com/auto-audio/2192-auto-audio-6.html. Retrieved April 24, 2010. 
  42. "Tips, Tweaks and Common Sense About Car Audio". Polk Audio. http://www.polkaudio.com/downloads/12vhndbk.pdf. Retrieved April 24, 2010. 
  43. }publisher=diyAudio.com "A tricky question from a novice". http://www.diyaudio.com/forums/showthread.php?threadid=80386 }publisher=diyAudio.com. Retrieved April 24, 2010.  A discussion about non-circular speakers
  44. "Company Overview". THX. http://www.thx.com/company/index.html. Retrieved April 24, 2010. 
  45. Barron, James (May 31, 1998). "Shhhhh! The Audience Is Listening.; When Seeing a Movie Is a Pain in the Ear". New York Times. http://query.nytimes.com/gst/fullpage.html?res=9A04E1DB1E38F932A05756C0A96E958260&sec=&spon=&pagewanted=all. Retrieved April 24, 2010. 
  46. "Backstage Pass: U2 360°". Clair Global. http://clairglobal.com/u2/. Retrieved January 12, 2010. 
  47. Becka, Kevin (December 1, 2009). "U2 360 Tour Profile: Seeking Intimacy on a Grand Scale". Mix. Penton Media. p. 2. http://mixonline.com/live/tourprofiles/u2-tour-profile-1209/index1.html. Retrieved January 12, 2010. 
  48. Wayland, Bob. "Spectacular Speakers". American Woodworker. Speaker City. http://www.speakercity.com/Merchant2/merchant.mvc?Screen=CTGY&Store_Code=SC&Category_Code=Article. Retrieved April 24, 2010. 
  49. "9880-8A 18" Subwoofer". Altec-Lansing. http://www.altecpro.com/pdfs/vintage/SpeakerAndMics/systems/9880-8A%20LF%20Speaker%20System.pdf. Retrieved April 24, 2010. 
  50. "8000 Series Loudspeaker Systems". Altec-Lansing. http://www.altecpro.com/pdfs/vintage/SpeakerAndMics/systems/8000%20Series%20LF%20Speaker%20Systems.pdf. Retrieved April 24, 2010. 
  51. "JBL Professional Enclosure Guide". JBL Professional Audio. http://www.jblpro.com/pub/manuals/enclgde.pdf. Retrieved April 24, 2010. 
  52. "Growler with Line-X coating". JTR. http://www.jtrspeakers.com/. Retrieved April 24, 2010. 
  53. "DS-1802SQ with Line-X coating". Solid-NRG. http://www.solid-nrg.com/ds1802sq.htm. Retrieved April 24, 2010. 
  54. Boomer, Don. "Aux Fed Subs". Peavey. http://peavey.com/support/technotes/concepts/AUX_SUBs.pdf. Retrieved April 24, 2010. 
  55. Cardioid subwoofer image: The second subwoofer has been delayed a precise amount corresponding to the time it takes sound to traverse the distance between speaker grilles. Image captured from Electro-Voice's RACE loudspeaker pattern prediction software. Frequency shown is 60 Hz.
  56. 56.0 56.1 "Cardioid Subwoofer Array – CSA". Technical Information. Backnang, Germany: D&B Audiotechnik. January 2004. http://www.nordic.dk/_en-GB-II/Content/Data/PDF%20og%20andre%20filer/PDF/Download%20center/Lydafdelingen/d&bTI-330.pdf. Retrieved 28 April 2010. 
  57. Brill, Harry, Jr.. "2 Deep End Fire: Alternative Method". Tiger Audio. http://www.tigeraudioinc.com/endfire2.jpg. Retrieved April 28, 2010. 
  58. 58.0 58.1 "Forward Steered Arrays in Precision Directivity Speaker Systems". Technical Notes. Northridge, California: JBL Professional Audio. August 28, 2001. http://www.jblpro.com/catalog/support/getfile.aspx?docid=272&doctype=3. Retrieved April 28, 2010. 
  59. Kamlet, Rick (January 2004). "Spaced SB210 FSA Forward Steered Low-Bass Array". http://www.jblpro.com/pages/install/Spaced%20SB210%20FSA%20Forward%20Steered%20Bass%20Array.pdf. Retrieved April 24, 2010. 
  60. Stevens, Dave (July 18, 2006). "Pinging In From ES and Gear Notes Rotterdam, Wuppertal and Finkenstein". A Barking Dog.. http://barking.roaddog.com/2006/07. Retrieved April 24, 2010. 
  61. Brill, Harry, Jr. (March 23, 2007). "Pic 3 of 500". UltraFest2007a. Picasa. http://picasaweb.google.com/HBrillJr/UltraFest2007a#5046282798683396738. Retrieved April 28, 2010. 
  62. Engebretson, Mark (2007). "Advanced Loudspeaker Tuning Techniques. QSC Intrinsic Correction". QSC Audio. http://www.qscaudio.com/products/dsp/SC28/intrinsic_correction_whitepaper_2007.pdf. Retrieved April 24, 2010. 
  63. "Nexo Geo-D subwoofer". http://pro-light-news.com/html/16/e60419ne.htm. Retrieved April 24, 2010. 
  64. "PSW-6: High-Power Cardioid Subwoofer". Meyer Sound Laboratories. http://www.meyersound.com/products/concertseries/psw-6/. Retrieved April 24, 2010. 
  65. "ATA 218C HH directional subwoofer". ADRaudio. http://www.adraudio.com/Products/ATA218C.html. Retrieved April 24, 2010. 
  66. "650R2 Subwoofer". Meyer Sound Laboratories. http://www.meyersound.com/products/legacy/650r2/index.htm. Retrieved April 24, 2010. 
  67. McLaughlin, Brett (2004). "Home Theater Hacks: 100 Industrial-Strength Tips & Tools". O'Reilly. http://www.oreilly.com/catalog/htheaterhks/. Retrieved April 24, 2010. 
  68. Silva, Robert. "Subwoofers: What You Need To Know; Subwoofer Alternatives". Home Theater. p. 3. http://hometheater.about.com/cs/loudspeakers/a/aasubwoofera_3.htm. Retrieved April 24, 2010. 
  69. Upchurch, Evan (June 2002). "ButtKicker 2 Low Frequency Shaker". Home Theater Hi-Fi. http://www.hometheaterhifi.com/volume_9_2/buttkicker-two-6-2002.html. Retrieved April 24, 2010. 
  70. Atkinson, Jeremy (8 September 2005). "Buttkicker Gamer Review". ExtremeTech. http://www.extremetech.com/article2/0,1697,1857002,00.asp. Retrieved 12 April 2010. 
  71. 71.0 71.1 "Danley brings the Matterhorn to NSCA". Broadcast Engineering. March 10, 2007. http://broadcastengineering.com/audio/danley-matterhorn-nsca/. Retrieved December 10, 2009. 
  72. "Danley's Matterhorn at NSCA". L&Si Online. February 21, 2007. http://www.lsionline.co.uk/news/?K2VG9F. Retrieved December 10, 2009. 
  73. 73.0 73.1 "Matterhorn". Danley Sound Labs. http://www.danleysoundlabs.com/matterhorn.htm. Retrieved December 10, 2009. 
  74. 74.0 74.1 "Matterhorn Fact Sheet". Danley Sound Labs. http://www.danleysoundlabs.com/pdf/old/matterhorn%20pdf.pdf. Retrieved December 10, 2009. 
  75. "Photos from NSCA 2007". Portfolio. Danley Sound Labs. http://www.danleysoundlabs.com/danleyport.asp?ID=33. Retrieved March 31, 2010. 
  76. Beaver, Ivan (January 12, 2008). "Re: 13 Ply Baltic Birch. Message #281504". LAB Lounge discussion forum. ProSoundWeb. http://srforums.prosoundweb.com/index.php/m/281504/30055/0///72/#msg_281504. Retrieved December 10, 2009. 
  77. Danley, Tom (March 18, 2007). "Re: Here you go then! Message #197255". LAB Subwoofer discussion forum. ProSoundWeb. http://srforums.prosoundweb.com/index.php/mv/msg/20851/0/40/72/. Retrieved December 10, 2009. 
  78. 78.0 78.1 "Custom". Royal Device. http://www.royaldevice.com/custom.htm. Retrieved December 10, 2009. 
  79. 79.0 79.1 Eldridge, Mark (February 24, 2006). "60-inch Subwoofer". The Techzone.com. Archived from the original on March 4, 2006. http://web.archive.org/web/20060304061733/http://www.thetechzone.com/photo/computers.php?photo=13813. Retrieved December 11, 2009. 
  80. Demuth, Johnathan (May 21, 2008). "Topic: 60 Inch Sub – Richard Clark – David Navone". Audio Forum. http://audioforum.termpro.com/topic/40/23776.html. Retrieved December 11, 2009. 
  81. "The world's biggest subwoofer". All About Cars. http://allaboutrides.blogspot.com/2007/03/worlds-biggest-subwoofer.html. Retrieved April 24, 2010.  Reposted version of the Techzone article.
  82. "Jackhammer". MTX Audio. http://www.mtx.com/caraudio/products/subwoofers/jackHammer.cfm. Retrieved December 11, 2009. 
  83. "Biggest Subwoofer in a Car: MTV's Pimp My Ride... a little over the top". Ebaumsworld; Digg. http://www.ebaumsworld.com/video/watch/1015580/. Retrieved December 11, 2009.