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WZIP(1)								       WZIP(1)

NAME
       wzip - lossy data compression and denoising

SYNOPSIS
       wzip [ -c | -d | -dn | -hdn ] num sf

DESCRIPTION
       This manual page documents the wzip command.

       wzip  is	 a  program  that  can	be used for LOSSY data compression and
       denoising.  It reads from STDIN and writes to  STDOUT.  In  compression
       mode  the  input	 is a sequence of ascii floating-point values.	num is
       the number of these data values. The output  is	a  sequence  of	 small
       integers,  most	of them zero in typical application. This is ready for
       effective compression with a  standard  loss-less  compression  program
       like gzip.

       The program can also be used for denoising. In this case both input and
       output are sequences of ascii floating-point values.

       The scale factor sf determines the strength of compression  or  denois‐
       ing.   A	 higher	 scale	factor	means heavier compression and stronger
       denoising.  Four times the standard deviation of the noise content is a
       good  start.  Otherwise 5 percent of the overall signal amplitude might
       be used as a first estimation of a suitable scale factor.

       If the noise content of the input data  is  strongly  non-Gaussian-dis‐
       tributed,  like	Poisson noise. The input data should be transformed to
       approximate Gaussian-distributed noise. If the input values  are	 Pois‐
       son-distributed,	 that  means for example raw counts per channel in EDX
       or XPD, they can be  transformed	 to  approximate  Gaussian-distributed
       noise by transformation of each data point with y:=2.0*sqrt(x+0.25109).
       Back transformation is done with y:=(x/2)^2. The summand	 0.25109  com‐
       pensates	 for the bias caused by the asymmetry of the Poisson-distribu‐
       tion.

       Invoking the program without any options writes examples of the use  of
       the program to STDERR.

OPTIONS
       There must be given exactly one option.

       -c     Compression,  reads  num	ascii floating-point values from STDIN
	      and writes a sequence of integers with high redundancy  to  STD‐
	      OUT.

       -d     Decompression,  reads  from  STDIN  and writes a sequence of num
	      ascii floating-point values to STDOUT. These are	more  or  less
	      similar to the original data.

       -dn    Denoising,  reads num ascii floating-point values from STDIN and
	      writes a sequence of num ascii floating-point values to  STDOUT.
	      These are more or less similar to the original data.

       -hdn   Denoising	 with  hard thresholding instead of wavelet shrinkage.
	      Single untouched noise peaks may be visible with this  mode.  On
	      the other hand, there is much less impact on the signal slope.

SEE ALSO
       Donoho, D.L.; Johnstone, I.M.: Adapting to unknown smoothness via wave‐
       let shrinkage, technical report 425, Department of Statistics, Stanford
       University,	Stanford,      June	1993,	  ftp://playfair.stan‐
       ford.edu/pub/donoho/ausws.ps.Z

       Franzen, A.: Compression of process data with a wavelet	method,	 steel
       res. 69 (1998), No. 1, pp. 28/30

       Franzen,	 A.: Non-linear denoising with wavelet transformation, Z. Met‐
       allkd.  89 (1998), No. 4, pp. 297/302

AUTHOR
       This manual page was written by Andreas Franzen <anfra@debian.org>, for
       the Debian GNU/Linux system (but may be used by others).

       Copyright (C) 1997 Andreas Franzen, placed under the GNU General Public
       License, see the file copyright for details.

			       24 December 1997			       WZIP(1)
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