Talk:Rise time

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[edit] Central limit theorem

Page says:

Consider a system composed by n cascaded non interacting blocks, each having a rise time t_{r_i} and no overshoot, whose input signal has a rise time t_{r_S}: then its output signal has a rise time equal to t_{r_O}=\sqrt{t_{r_S}^2+t_{r_1}^2+\dots+t_{r_n}^2} This result is a consequence of the central limit theorem, according to Valley & Wallman 1948, pp. 77-78.

Can anyone explain why?--Light current 00:16, 7 January 2007 (UTC)