[SPTK-CVS] SPTK/doc/ref_e norm0.tex,1.21,1.22

[fujishita t. <fjs...@us...>]

Update of /cvsroot/sp-tk/SPTK/doc/ref_e
In directory sfp-cvs-1.v30.ch3.sourceforge.com:/tmp/cvs-serv30637

Modified Files:
	norm0.tex 
Log Message:
modify manual of norm0 command

Index: norm0.tex
===================================================================
RCS file: /cvsroot/sp-tk/SPTK/doc/ref_e/norm0.tex,v
retrieving revision 1.21
retrieving revision 1.22
diff -C2 -d -r1.21 -r1.22
*** norm0.tex	22 Dec 2016 10:52:58 -0000	1.21
--- norm0.tex	10 Jul 2017 04:40:41 -0000	1.22
***************
*** 54,64 ****
  sending the result to standard output.
  
! For the input sequence
  \begin{displaymath}
! x(0), x(1), \dots, x(M), 
  \end{displaymath}
! the normalized output sequence is
  \begin{displaymath}
! 1/x(0), x(1)/x(0), \dots, x(M)/x(0). 
  \end{displaymath}
  
--- 54,76 ----
  sending the result to standard output.
  
! If the input data is a set of coefficients
! $b(0), b(1), \dots, b(M)$ of an all zero digital filter, 
  \begin{displaymath}
! H(z) = \sum_{m=0}^{M} b(m) z^{-m},
  \end{displaymath}
! the output data will be a set of coefficients
! $K, a(1), \dots, a(M)$ of an all pole digital filter:
! \begin{align}
! H(z) &= \frac{\displaystyle{\frac{1}{b(0)}}}{\displaystyle{1+\sum_{m=1}^{M}\frac{b(m)}{b(0)}z^{-m}}}  \notag \\
!      &\equiv \frac{K}{\displaystyle{1+\sum_{m=1}^{M}a(m)z^{-m}}} \notag
! \end{align}
! Conversely, when a set of coefficients of an all pole digital filter is inputted, a set of coefficients of an all zero digital filter will be outputted. 
! In this case, the input sequence
  \begin{displaymath}
! K, a(1), \dots, a(M)
! \end{displaymath}
! is normalized as follows.
! \begin{displaymath}
! 1/K, a(1)/K, \dots, a(M)/K
  \end{displaymath}
  
***************
*** 71,80 ****
  
  \begin{qsection}{EXAMPLE}
! Speech data is read from {\em data.f} in float format,
! the 15-th order autocorrelation coefficients are evaluated
! and normalized, and the results is written to {\em data.nacorr}:
  \begin{quote}
!   \verb!frame < data.f | window | acorr -m 15 |\ !\\
!   \verb!norm0 -m 15 > data.nacorr!
  \end{quote}
  \end{qsection}
--- 83,89 ----
  
  \begin{qsection}{EXAMPLE}
! In the example below, 15-th order coefficients of an all zero digital filter in float format are read from {\em data.z}, and then the coefficients of an all pole digital filter are written to {\em data.p}:
  \begin{quote}
!   \verb!norm0 -m 15 data.z > data.p!
  \end{quote}
  \end{qsection}