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bartlett.m

## Copyright (C) 1995, 1996, 1997  Andreas Weingessel
## 
## This program is free software; you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
## 
## This program is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details. 
## 
## You should have received a copy of the GNU General Public License
## along with this file.  If not, write to the Free Software Foundation,
## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.

## usage:  bartlett (m)
##
## Returns the filter coefficients of a Bartlett (triangular) window of
## length m.
##
## For a definition of the Bartlett window, see e.g. A. V. Oppenheim &
## R. W. Schafer, "Discrete-Time Signal Processing".

## Author:  AW <Andreas.Weingessel@ci.tuwien.ac.at>
## Description:  Coefficients of the Bartlett (triangular) window

function c = bartlett (m)
  
  if (nargin != 1)
    usage ("bartlett (m)");
  endif
  
  if !(is_scalar (m) && (m == round (m)) && (m > 0))
    error ("bartlett:  m has to be an integer > 0");
  endif
  
  if (m == 1)
    c = 1;
  else
    m = m - 1;
    n = fix (m / 2);
    c (1 : n+1) = 2 * (0 : n)' / m;
    c (n+2 : m+1) = 2 - 2 * (n+1 : m)'/m;
  endif

  c = c';

endfunction

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