Mercurial > hg > aim92
diff man/man1/racf.1 @ 0:5242703e91d3 tip
Initial checkin for AIM92 aimR8.2 (last updated May 1997).
author | tomwalters |
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date | Fri, 20 May 2011 15:19:45 +0100 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/man/man1/racf.1 Fri May 20 15:19:45 2011 +0100 @@ -0,0 +1,63 @@ +.TH RACF 1 "1 September 1993" + +.SH NAME +racf \- recursive autocorrelation function of contiguous frames. + +.SH SYNTAX +racf [arguments] [file] + +.SH DESCRIPTION +Autocorrelation function using a recursive "leaky integrator" filter. +For the m'th lag, the n'th recursive update is: + +.nf + y[n] = a.y[n-1] + (1-a).f[n].f[n-m] +.fi + +where decay constant a = exp(-Ts/T), +Ts is the sample interval in seconds, and T is the decay time constant in seconds. + +The recursion computes the mean value of the product f[n].f[n-m] +within an exponential window which weights past values. +The window width parameter (eg. corresponding with the width of the +fft analysis window) is the time constant parameter. +The half life of the exponential window is given by -T.ln(0.5) = 0.693T +ie. for a given time constant, T secs, the window decays to half of its +current value in a period of 0.693T secs. +Similarly, the window decays by 99% of its initial value in about 4.6T secs. +So T can be set to accomodate an expected period. + +The routine generates the autocovariance function. +An optional normalization (dividing each coefficient by the zeroth +coefficient) produces the autocorrelation function, +(and this is then scaled up to the range [0-1000]). + +The output framewidth is the given maximum acf lag. + +.SH "SEE ALSO" +options acf acgram + +.SH COPYRIGHT +.LP +Copyright (c) Applied Psychology Unit, Medical Research Council, 1995 +.LP +Permission to use, copy, modify, and distribute this software without fee +is hereby granted for research purposes, provided that this copyright +notice appears in all copies and in all supporting documentation, and that +the software is not redistributed for any fee (except for a nominal +shipping charge). Anyone wanting to incorporate all or part of this +software in a commercial product must obtain a license from the Medical +Research Council. +.LP +The MRC makes no representations about the suitability of this +software for any purpose. It is provided "as is" without express or +implied warranty. +.LP +THE MRC DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING +ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL +THE A.P.U. BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES +OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, +WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, +ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS +SOFTWARE. +