Dynamic random access memory

Computer memory types
Volatile
  • DRAM, e.g. DDR SDRAM
  • SRAM
  • Upcoming
    • T-RAM
    • Z-RAM
    • TTRAM
  • Historical
    • Delay line memory
    • Selectron tube
    • Williams tube
Non-volatile
  • ROM
    • PROM
    • EPROM
    • EEPROM
  • Flash memory
  • FeRAM
  • MRAM
  • PRAM
  • Upcoming
    • CBRAM
    • SONOS
    • RRAM
    • Racetrack memory
    • NRAM
    • Millipede
  • Historical
    • Drum memory
    • Magnetic core memory
    • Plated wire memory
    • Bubble memory
    • Twistor memory

Dynamic random access memory (DRAM) is a type of random access memory that stores each bit of data in a separate capacitor within an integrated circuit. Since real capacitors leak charge, the information eventually fades unless the capacitor charge is refreshed periodically. Because of this refresh requirement, it is a dynamic memory as opposed to SRAM and other static memory.

The main memory (the "RAM") in personal computers is Dynamic RAM (DRAM), as is the "RAM" of home game consoles (PlayStation, Xbox 360 and Wii), laptop, notebook and workstation computers.

The advantage of DRAM is its structural simplicity: only one transistor and a capacitor are required per bit, compared to six transistors in SRAM. This allows DRAM to reach very high density. Unlike flash memory, it is volatile memory (cf. non-volatile memory), since it loses its data when the power supply is removed. The transistors and capacitors used are extremely small—millions can fit on a single memory chip.

Contents

History

The cryptanalytic machine code-named "Aquarius" used at Bletchley Park during WW II incorporated a hard-wired dynamic memory. Paper tape was read and the characters on it "were remembered in a dynamic store. ... The store used a large bank of capacitors, which were either charged or not, a charged capacitor representing cross (1) and an uncharged capacitor dot (0). Since the charge gradually leaked away, a periodic pulse was applied to top up those still charged (hence the term 'dynamic')".[1]

Schematic drawing of original designs of DRAM patented in 1968.

In 1964, Arnold Farber and Eugene Schlig working for IBM created a memory cell that was hard wired; using a transistor gate and tunnel diode latch, they later replaced the latch with two transistors and two resistors, which became known as the Farber-Schlig cell. In 1965, Benjamin Agusta and his team working for IBM managed to create a 16-bit silicon memory chip based on the Farber-Schlig cell, which consisted of 80 transistors, 64 resistors, and four diodes. In 1966, DRAM was invented by Dr. Robert Dennard at the IBM Thomas J. Watson Research Center and he was awarded U.S. patent number 3,387,286 in 1968. Capacitors had been used for earlier memory schemes such as the drum of the Atanasoff–Berry Computer, the Williams tube and the Selectron tube.

The Toshiba "Toscal" BC-1411 electronic calculator, which went into production in November 1965, uses a form of dynamic RAM built from discrete components.[2]

In 1969, Honeywell asked Intel to make a DRAM using a 3-transistor cell that they had developed. This became the Intel 1102 (1024x1) in early 1970. However the 1102 had many problems, prompting Intel to begin work on their own improved design (in secrecy to avoid conflict with Honeywell). This became the first commercially-available DRAM memory, the Intel 1103 (1024x1) in October 1970 (despite initial problems with low yield until the fifth revision of the masks).

The first DRAM with multiplexed row and column address lines was the Mostek MK4096 (4096x1) designed by Robert Proebsting and introduced in 1973. This addressing scheme, a radical advance, allowed it to fit into packages with fewer pins, a cost advantage that would grow with every jump in memory size. The MK4096 also proved to be a very robust design for customer applications. At the 16K density, the cost advantage increased, and the Mostek MK4116 16K DRAM achieved greater than 75% worldwide DRAM market share. However, as density increased to 64K Mostek was overtaken by Japanese DRAM manufacturers selling higher quality DRAMs using the same multiplexing scheme at below-cost prices.

Operation principle

Principle of operation of DRAM read, for simple 4 by 4 array.
Principle of operation of DRAM write, for simple 4 by 4 array.

DRAM is usually arranged in a square array of one capacitor and transistor per cell. The illustrations to the right show a simple example with only 4 by 4 cells (modern DRAM can be thousands of cells in length/width).

The long lines connecting each row are known as word lines. Each column is actually composed of two bit lines, each one connected to every other storage cell in the column. (The illustration to the right does not include this important detail.) They are generally known as the + and − bit lines. A sense amplifier is essentially a pair of cross-connected inverters between the bit lines. That is, the first inverter is connected from the + bit line to the − bit line, and the second is connected from the − bit line to the + bit line. This is an example of positive feedback, and the arrangement is only stable with one bit line high and one bit line low.

To read a bit from a column, the following operations take place:

  1. The sense amplifier is switched off and the bit lines are precharged to exactly matching voltages that are intermediate between high and low logic levels. The bit lines are constructed symmetrically to keep them balanced as precisely as possible.
  2. The precharge circuit is switched off. Because the bit lines are very long, their capacitance will hold the precharge voltage for a brief time. This is an example of dynamic logic.
  3. The selected row's word line is driven high. This connects one storage capacitor to one of the two bit lines. Charge is shared between the selected storage cell and the appropriate bit line, slightly altering the voltage on the line. Although every effort is made to keep the capacitance of the storage cells high and the capacitance of the bit lines low, capacitance is proportional to physical size, and the length of the bit lines means that the net effect is a very small perturbation of one bit line's voltage.
  4. The sense amplifier is switched on. The positive feedback takes over and amplifies the small voltage difference until one bit line is fully low and the other is fully high. At this point, the row is "open" and a column can be selected.
  5. Read data from the DRAM is taken from the sense amplifiers, selected by the column address. Many reads can be performed while the row is open in this way.
  6. While reads proceed, current is flowing back up the bit lines from the sense amplifiers to the storage cells. This restores (refreshes) the charge in the storage cell. Due to the length of the bit lines, this takes significant time beyond the end of sense amplification, and overlaps with one or more column reads.
  7. When done with the current row, the word line is switched off to disconnect the storage capacitors (the row is "closed"), the sense amplifier is switched off, and the bit lines are precharged again.

To write to memory, the row is opened and a given column's sense amplifier is temporarily forced to the desired state, so it drives the bit line, which charges the capacitor to the desired value. Due to the positive feedback, the amplifier will then hold it stable even after the forcing is removed. During a write to a particular cell, the entire row is read out, one value changed, and then the entire row is written back in, as illustrated in the figure to the right.

Typically, manufacturers specify that each row should be refreshed every 64 ms or less, according to the JEDEC (Foundation for developing Semiconductor Standards) standard. Refresh logic is commonly used with DRAMs to automate the periodic refresh. This makes the circuit more complicated, but this drawback is usually outweighed by the fact that DRAM is much cheaper and of greater capacity than SRAM. Some systems refresh every row in a tight loop that occurs once every 64 ms. Other systems refresh one row at a time—for example, a system with 213 = 8192 rows would require a refresh rate of one row every 7.8 µs (64 ms divided among 8192 rows). A few real-time systems refresh a portion of memory at a time based on an external timer that governs the operation of the rest of the system, such as the vertical blanking interval that occurs every 10–20 ms in video equipment. All methods require some sort of counter to keep track of which row is the next to be refreshed. Most DRAM chips include that counter; older kinds require external refresh logic to hold that counter. (Under some conditions, most of the data in DRAM can be recovered even if the DRAM has not been refreshed for several minutes.

Memory timing

There are many numbers required to describe the timing of DRAM operation. Here are some examples for two timing grades of asynchronous DRAM, from a data sheet published in 1998:[3]

"50 ns" "60 ns" Description
tRC 84 ns 104 ns Random read or write cycle time (from one full /RAS cycle to another)
tRAC 50 ns 60 ns Access time: /RAS low to valid data out
tRCD 11 ns 14 ns /RAS low to /CAS low time
tRAS 50 ns 60 ns /RAS pulse width (minimum /RAS low time)
tRP 30 ns 40 ns /RAS precharge time (minimum /RAS high time)
tPC 20 ns 25 ns Page-mode read or write cycle time (/CAS to /CAS)
tAA 25 ns 30 ns Access time: Column address valid to valid data out (includes address setup time before /CAS low)
tCAC 13 ns 15 ns Access time: /CAS low to valid data out
tCAS 8 ns 10 ns /CAS low pulse width minimum

Thus, the generally quoted number is the /RAS access time. This is the time to read a random bit from a precharged DRAM array. The time to read additional bits from an open page is much less.

When such a RAM is accessed by clocked logic, the times are generally rounded up to the nearest clock cycle. For example, when accessed by a 100 MHz state machine (i.e. a 10 ns clock), the 50 ns DRAM can perform the first read in five clock cycles, and additional reads within the same page every two clock cycles. This was generally described as "5‐2‐2‐2" timing, as bursts of four reads within a page were common.

When describing synchronous memory, timing is described by clock cycle counts separated by hyphens. These numbers represent tCLtRCDtRPtRAS in multiples of the DRAM clock cycle time. Note that this is half of the data transfer rate when double data rate signaling is used. JEDEC standard PC3200 timing is 3‐4‐4‐8[4] with a 200 MHz clock, while premium-priced high performance PC3200 DDR DRAM DIMM might be operated at 2‐2‐2‐5 timing.[5]

PC-3200 (DDR-400) PC2-6400 (DDR2-800) PC3-12800 (DDR3-1600) Description
Typical Fast Typical Fast Typical Fast
cycles time cycles time cycles time cycles time cycles time cycles time
tCL 3 15 ns 2 10 ns 5 12.5 ns 4 10 ns 9 11.25 ns 8 10 ns /CAS low to valid data out (equivalent to tCAC)
tRCD 4 20 ns 2 10 ns 5 12.5 ns 4 10 ns 9 11.25 ns 8 10 ns /RAS low to /CAS low time
tRP 4 20 ns 2 10 ns 5 12.5 ns 4 10 ns 9 11.25 ns 8 10 ns /RAS precharge time (minimum precharge to active time)
tRAS 8 40 ns 5 25 ns 16 40 ns 12 30 ns 27 33.75 ns 24 30 ns Row active time (minimum active to precharge time)

It is worth noting that the improvement over 11 years is not that large. Minimum random access time has improved from tRAC = 50 ns to tRCD + tCL = 22.5 ns, and even the premium 20 ns variety is only 2.5 times better. CAS latency has improved even less, from tCAC = 13 ns to 10 ns. However, the DDR3 memory does achieve 32 times higher bandwidth; due to internal pipelining and wide data paths, it can output two words every 1.25 ns (1600 Mword/s), while the EDO DRAM can output one word per tPC = 20 ns (50 Mword/s).

Timing abbreviations

Errors and error correction

See Also: RAM parity

Electrical or magnetic interference inside a computer system can cause a single bit of DRAM to spontaneously flip to the opposite state. It was initially thought that this was mainly due to alpha particles emitted by contaminants in chip packaging material, but research[6] has shown that the majority of one-off ("soft") errors in DRAM chips occur as a result of background radiation, chiefly neutrons from cosmic ray secondaries, which may change the contents of one or more memory cells or interfere with the circuitry used to read/write them. There was some concern that as DRAM density increases further, and thus the components on DRAM chips get smaller, while at the same time operating voltages continue to fall, DRAM chips will be affected by such radiation more frequently—since lower energy particles will be able to change a memory cell's state. On the other hand, smaller cells make smaller targets, and moves to technologies such as SOI may make individual cells less susceptible and so counteract, or even reverse this trend. Recent studies[7] show that single event upsets due to cosmic radiation have been dropping dramatically with process geometry and previous concerns over increasing bit cell error rates are unfounded.

This problem can be mitigated by using DRAM modules that include extra memory bits and memory controllers that exploit these bits. These extra bits are used to record parity or to use an error-correcting code (ECC). Parity allows the detection of all single-bit errors (actually, any odd number of wrong bits). The most common error correcting code, a SECDED Hamming code, allows a single-bit error to be corrected and (in the usual configuration, with an extra parity bit) double-bit errors to be detected.

Error detection and correction in computer systems seems to go in and out of fashion. Seymour Cray famously said "parity is for farmers" when asked why he left this out of the CDC 6600.[8] He included parity in the CDC 7600, and reputedly said "I learned that a lot of farmers buy computers." The original IBM PC and all PCs until the early 1990s used parity checking.[9] Later ones mostly did not. Wider memory buses make parity and especially ECC more affordable. Many current microprocessor memory controllers, including almost all AMD 64-bit offerings, support ECC, but many motherboards and in particular those using low-end chipsets do not.

An ECC-capable memory controller as used in many modern PCs can typically detect and correct errors of a single bit per 64-bit "word" (the unit of bus transfer), and detect (but not correct) errors of two bits per 64-bit word. Some systems also 'scrub' the errors, by writing the corrected version back to memory. The BIOS in some computers, and operating systems such as Linux, allow counting of detected and corrected memory errors, in part to help identify failing memory modules before the problem becomes catastrophic.

Typically, only machines intended for server use support ECC. Mainboards intended for desktop (rather than server) machines typically do not support ECC, and even those that do support ECC will be shipped with it disabled to allow use of non-ECC memory. Most modern PCs do not support ECC at all as can be seen by examining computer and motherboard specifications; those that do are often supplied with memory modules that do not support parity or ECC. It may be that most users opt for non-ECC systems and memory anyway even when ECC is available. The most important reasons for this are:

Error detection and correction depends on an expectation of the kinds of errors that occur. Implicitly, we have assumed that the failure of each bit in a word of memory is independent and hence that two simultaneous errors are improbable. This used to be the case when memory chips were one bit wide (typical in the first half of the 1980s). Now many bits are in the same chip. This weakness does not seem to be widely addressed; one exception is Chipkill.

Recent tests give widely varying error rates with over 7 orders of magnitude difference, ranging from 10−10−10−17 error/bit·h, roughly one bit error, per hour, per gigabyte of memory to one bit error, per century, per gigabyte of memory.[7][11][12]

In most computers used for serious scientific or financial computing and as servers, ECC is the rule rather than the exception, as can be seen by examining manufacturers' specifications.

DRAM packaging

For economic reasons, the large (main) memories found in personal computers, workstations, and non-handheld game-consoles (such as PlayStation and Xbox) normally consists of dynamic RAM (DRAM). Other parts of the computer, such as cache memories and data buffers in hard disks, normally use static RAM (SRAM).

General DRAM packaging formats

Common DRAM packages. From top to bottom: DIP, SIPP, SIMM (30-pin), SIMM (72-pin), DIMM (168-pin), DDR DIMM (184-pin).
EDO DRAM memory module

Dynamic random access memory is produced as integrated circuits (ICs) bonded and mounted into plastic packages with metal pins for connection to control signals and buses. Today, these DRAM packages are in turn often assembled into plug-in modules for easier handling. Some standard module types are:

Common DRAM modules

Common DRAM packages as illustrated to the right, from top to bottom:

  1. DIP 16-pin (DRAM chip, usually pre-FPRAM)
  2. SIPP (usually FPRAM)
  3. SIMM 30-pin (usually FPRAM)
  4. SIMM 72-pin (often EDO RAM but FPM is not uncommon)
  5. DIMM 168-pin (SDRAM)
  6. DIMM 184-pin (DDR SDRAM)
  7. RIMM 184-pin (RDRAM)
  8. DIMM 240-pin (DDR2 SDRAM/DDR3 SDRAM)

Variations

While the fundamental DRAM cell and array has maintained the same basic structure (and performance) for many years, there have been many different interfaces for speaking with DRAM chips. When one speaks about "DRAM types", one is generally referring to the interface that is used.

Asynchronous DRAM

This is the basic form, from which all others derive. An asynchronous DRAM chip has power connections, some number of address inputs (typically 12), and a few (typically one or four) bidirectional data lines. There are four active low control signals:

This interface provides direct control of internal timing. When /RAS is driven low, a /CAS cycle must not be attempted until the sense amplifiers have sensed the memory state, and /RAS must not be returned high until the storage cells have been refreshed. When /RAS is driven high, it must be held high long enough for precharging to complete.

Although the RAM is asynchronous, the signals are typically generated by a clocked memory controller, which limits their timing to multiples of the controller's clock cycle.

Video DRAM (VRAM)

VRAM is a dual-ported variant of DRAM that was once commonly used to store the frame-buffer in some graphics adaptors.

Window DRAM (WRAM)

WRAM is a variant VRAM that was once used in graphics adaptors such as the Matrox Millenium and ATI 3D Rage Pro. WRAM was designed to perform better and cost less than VRAM. WRAM offered up to 25% greater bandwidth than VRAM and accelerated commonly used graphical operations such as text drawing and block fills.[13]

Fast page mode (FPM) DRAM or FPRAM

A 256 k x 4 bit DRAM on an early PC memory card. k = 1024 in this case.

Fast page mode DRAM is also called FPM DRAM, Page mode DRAM, Fast page mode memory, or Page mode memory.

In page mode, a row of the DRAM can be kept "open" by holding /RAS low while performing multiple reads or writes with separate pulses of /CAS so that successive reads or writes within the row do not suffer the delay of precharge and accessing the row. This increases the performance of the system when reading or writing bursts of data.

Static column is a variant of page mode in which the column address does not need to be strobed in, but rather, the address inputs may be changed with /CAS held low, and the data output will be updated accordingly a few nanoseconds later.

Nibble mode is another variant in which four sequential locations within the row can be accessed with four consecutive pulses of /CAS. The difference from normal page mode is that the address inputs are not used for the second through fourth /CAS edges; they are generated internally starting with the address supplied for the first /CAS edge.

CAS before RAS refresh

Classic asynchronous DRAM is refreshed by opening each row in turn. This can be done by supplying a row address and pulsing /RAS low; it is not necessary to perform any /CAS cycles. An external counter is needed to iterate over the row addresses in turn.

For convenience, the counter was quickly incorporated into RAM chips themselves. If the /CAS line is driven low before /RAS (normally an illegal operation), then the DRAM ignores the address inputs and uses an internal counter to select the row to open. This is known as /CAS-before-/RAS (CBR) refresh.

This became the standard form of refresh for asynchronous DRAM, and is the only form generally used with SDRAM.

Hidden refresh

Given support of CAS-before-RAS refresh, it is possible to deassert /RAS while holding /CAS low to maintain data output. If /RAS is then asserted again, this performs a CBR refresh cycle while the DRAM outputs remain valid. Because data output is not interrupted, this is known as "hidden refresh".[14]

Extended data out (EDO) DRAM

A pair of 32 MB EDO DRAM modules.

EDO DRAM, sometimes referred to as Hyper Page Mode enabled DRAM, is similar to Fast Page Mode DRAM with the additional feature that a new access cycle can be started while keeping the data output of the previous cycle active. This allows a certain amount of overlap in operation (pipelining), allowing somewhat improved performance. It was 5% faster than Fast Page Mode DRAM, which it began to replace in 1995, when Intel introduced the 430FX chipset that supported EDO DRAM.

To be precise, EDO DRAM begins data output on the falling edge of /CAS, but does not stop the output when /CAS rises again. It holds the output valid (thus extending the data output time) until either /RAS is deasserted, or a new /CAS falling edge selects a different column address.

Single-cycle EDO has the ability to carry out a complete memory transaction in one clock cycle. Otherwise, each sequential RAM access within the same page takes two clock cycles instead of three, once the page has been selected. EDO's performance and capabilities allowed it to somewhat replace the then-slow L2 caches of PCs. It created an opportunity to reduce the immense performance loss associated with a lack of L2 cache, while making systems cheaper to build. This was also good for notebooks due to difficulties with their limited form factor, and battery life limitations. An EDO system with L2 cache was tangibly faster than the older FPM/L2 combination.

Single-cycle EDO DRAM became very popular on video cards towards the end of the 1990s. It was very low cost, yet nearly as efficient for performance as the far more costly VRAM.

Much equipment taking 72-pin SIMMs could use either FPM or EDO. Problems were possible, particularly when mixing FPM and EDO. Early Hewlett-Packard printers had FPM RAM built in; some, but not all, models worked if additional EDO SIMMs were added.[15]

Burst EDO (BEDO) DRAM

An evolution of the former, Burst EDO DRAM, could process four memory addresses in one burst, for a maximum of 5‐1‐1‐1, saving an additional three clocks over optimally designed EDO memory. It was done by adding an address counter on the chip to keep track of the next address. BEDO also added a pipelined stage allowing page-access cycle to be divided into two components. During a memory-read operation, the first component accessed the data from the memory array to the output stage (second latch). The second component drove the data bus from this latch at the appropriate logic level. Since the data is already in the output buffer, quicker access time is achieved (up to 50% for large blocks of data) than with traditional EDO.

Although BEDO DRAM showed additional optimization over EDO, by the time it was available the market had made a significant investment towards synchronous DRAM, or SDRAM [4]. Even though BEDO RAM was superior to SDRAM in some ways, the latter technology quickly displaced BEDO.

Multibank DRAM (MDRAM)

Multibank RAM applies the interleaving technique for main memory to second level cache memory to provide a cheaper and faster alternative to SRAM. The chip splits its memory capacity into small blocks of 256 kB and allows operations to two different banks in a single clock cycle.

This memory was primarily used in graphic cards with Tseng Labs ET6x00 chipsets, and was made by MoSys. Boards based upon this chipset often used the unusual RAM size configuration of 2.25 MB, owing to MDRAM's ability to be implemented in various sizes more easily. This size of 2.25 MB allowed 24-bit color at a resolution of 1024×768, a very popular display setting in the card's time.

Synchronous graphics RAM (SGRAM)

MoSYS SGRAM

SGRAM is a specialized form of SDRAM for graphics adaptors. It adds functions such as bit masking (writing to a specified bit plane without affecting the others) and block write (filling a block of memory with a single colour). Unlike VRAM and WRAM, SGRAM is single-ported. However, it can open two memory pages at once, which simulates the dual-port nature of other video RAM technologies.

Synchronous dynamic RAM (SDRAM)

Single data rate (SDR)

Single data rate SDRAM (sometimes known as SDR) is a synchronous form of DRAM.

Double data rate (DDR)

Double data rate SDRAM (DDR) was a later development of SDRAM, used in PC memory beginning in 2000. Subsequent versions are numbered sequentially (DDR2, DDR3, etc.).

Direct Rambus DRAM (DRDRAM)

Direct RAMBUS DRAM (DRDRAM).

Pseudostatic RAM (PSRAM)

PSRAM or PSDRAM is dynamic RAM with built-in refresh and address-control circuitry to make it behave similarly to static RAM (SRAM). It combines the high density of DRAM with the ease of use of true SRAM. PSRAM (made by Numonyx) is used in the Apple iPhone and other embedded systems.[16]

Some DRAM components have a "self-refresh mode". While this involves much of the same logic that is needed for pseudo-static operation, this mode is often equivalent to a standby mode. It is provided primarily to allow a system to suspend operation of its DRAM controller to save power without losing data stored in DRAM, not to allow operation without a separate DRAM controller as is the case with PSRAM.

An embedded variant of pseudostatic RAM is sold by MoSys under the name 1T-SRAM. It is technically DRAM, but behaves much like SRAM. It is used in Nintendo Gamecube and Wii consoles.

1T DRAM

Unlike all of the other variants described here, 1T DRAM is actually a different way of constructing the basic DRAM bit cell. 1T DRAM is a "capacitorless" bit cell design that stores data in the parasitic body capacitor that is an inherent part of Silicon on Insulator transistors. Considered a nuisance in logic design, this floating body effect can be used for data storage. Although refresh is still required, reads are non-destructive; the stored charge causes a detectable shift in the threshold voltage of the transistor.[17]

There are several types of 1T DRAM memories: The commercialized Z-RAM from Innovative Silicon, the TTRAM from Renesas and the A-RAM from the UGR/CNRS consortium.

Note that classic one-transistor/one-capacitor (1T/1C) DRAM cell is also sometimes referred to as "1T DRAM".

RLDRAM

Reduced Latency DRAM is a high performance double data rate (DDR) SDRAM that combines fast, random access with high bandwidth. RLDRAM is mainly designed for networking and caching applications.

Security

Although dynamic memory is only guaranteed to retain its contents when supplied with power and refreshed every 64 ms, the memory cell capacitors will often retain their values for significantly longer, particularly at low temperatures.[18]

Under some conditions, most of the data in DRAM can be recovered even if the DRAM has not been refreshed for several minutes.[19]

This property can be used to recover "secure" data kept in memory by quickly rebooting the computer and dumping the contents of the RAM or by cooling the chips and transferring them to a different computer. Such an attack was demonstrated to circumvent popular disk encryption systems, like the open source TrueCrypt, Microsoft's BitLocker Drive Encryption, as well as Apple's FileVault.[18]

See also

References

  1. Copeland B. Jack, and others (2006) Colossus: The Secrets of Bletchley Park's Codebreaking Computers Oxford: Oxford University Press, p301.
  2. Toshiba "Toscal" BC-1411 Desktop Calculator
  3. Micron 4 Meg x 4 EDO DRAM data sheet
  4. cmx1024-3200.ai
  5. http://www.corsairmemory.com/corsair/products/specs/twinx1024-3200xl.pdf
  6. [1] Single Event Upset at Ground Level, Eugene Normand, Member, IEEE, Boeing Defense & Space Group, Seattle, WA 98124-2499
  7. 7.0 7.1 Borucki, "Comparison of Accelerated DRAM Soft Error Rates Measured at Component and System Level", 46th Annual International Reliability Physics Symposium, Phoenix, 2008, pp. 482–487
  8. [2]
  9. [3]
  10. Discussion of ECC on pcguide
  11. http://www.cs.toronto.edu/~bianca/papers/sigmetrics09.pdf
  12. http://www.ece.rochester.edu/~xinli/usenix07/
  13. The PC Guide, definition of WRAM.
  14. Various Methods of DRAM Refresh Micron Technical Note TN-04-30
  15. Page on memory upgrades for HP printers
  16. EE Times teardown of iPhone 3G
  17. Sallese, Jean-Michel (2002-06-20). "Principles of the 1T Dynamic Access Memory Concept on SOI". MOS Modeling and Parameter Extraction Group Meeting. Wroclaw, Poland. http://legwww.epfl.ch/ekv/mos-ak/wroclaw/MOS-AK_JMS.pdf. Retrieved 2007-10-07. 
  18. 18.0 18.1 "Center for Information Technology Policy » Lest We Remember: Cold Boot Attacks on Encryption Keys". http://citp.princeton.edu/memory/.  080222 citp.princeton.edu
  19. Scheick, Leif Z.; Guertin, Steven M.; Swift, Gary M. (December 2000). "Analysis of radiation effects on individual DRAM cells" (PDF). IEEE Trans. on Nuclear Science 47 (6): 2534–2538. doi:10.1109/23.903804. ISSN 0018-9499. http://parts.jpl.nasa.gov/docs/DRAM_Indiv-00.pdf. Retrieved 2008-11-03. 

External links