📄 quantiz.m
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function [indx, quant, distor] = quantiz(sig, partition, codebook)
%QUANTIZ Produces the quantization index and output value.
% INDX = QUANTIZ(SIG, PARTITION) produces a quantization index IDEX of
% the input signal SIG based on the decision points PARTITION. Each
% element in INDX is one of the N integers in range [0 : N-1]. PARTITION
% is a strict ascending ordered N-1 vector that specifies the
% boundaries. Elements of INDX = 0, 1, 2, ..., N-1 represent SIG in the
% range of (-Inf, PARTITION(1)], (PARTITION(1), PARTITION(2)],
% (PARTITION(2), PARTITION(3)], ..., (PARTITION(N-1), Inf).
%
% [INDX, QUANT] = QUANTIZ(SIG, PARTITION, CODEBOOK) produces the output
% value of the quantizer in QUNAT. CODEBOOK is a length N vector that
% contains the output set.
%
% [INDX, QUANT, DISTOR] = QUANTIZ(SIG, PARTITION, CODEBOOK) outputs
% DISTOR, the estimated distortion value of the quantization.
%
% There is no decode quantizer function in this toolbox. The decode
% computation could be easily computed by
% y = codebook(indx+1).
%
% See also LLOYD, DPCMENCO, DPCMDECO.
% Wes Wang 10/6/94, 10/11/95.
% Copyright (c) 1995-96 by The MathWorks, Inc.
% $Revision: 1.1 $ $Date: 1996/04/01 18:01:55 $
sig = sig(:);
[n_sig, m_sig] = size(sig);
if m_sig > 1
error('Function QUANTIZ is designed for scalar quantization only.');
end
% compute indx
indx = zeros(n_sig, 1);
for i = 1 : length(partition)
indx = indx + (sig > partition(i));
end;
if nargout < 2
return
end;
% compute QUANT
if nargin < 3
error('Not enough input parameter to compute QUNAT in QUANTIZ.');
end;
quant = codebook(indx+1);
if nargout > 2
% compute distortion
distor = 0;
for i = 0 : length(codebook)-1
distor = distor + sum((sig(find(indx==i)) - codebook(i+1)).^2);
end;
distor = distor / n_sig;
end
%--end of quantiz--
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