📄 fastmdcsynthesis.m
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function x = FastMDCSynthesis(c, D, fineness, par3)
% FastMDCSynthesis -- Synthesis operator for Multi-Duration-Cosine dictionary
% Usage
% x = FastMDCSynthesis(c, D, fineness)
% Inputs:
% x the signal, column vector
% D the depth, 0<=D<=log2(n)
% fineness how many times finer in frequency than the standard DCT
% Output:
% c the coefs, column vector
% See Also:
% FastMDCAnalysis, FastDCTAnalysis, FastDCTSynthesis
%
m = length(c);
n = m / (fineness * (D+1));
t = (0:(n-1))' + .5;
x = zeros(n,1);
for d=0:D,
s = 2^d;
cc = c((1:(fineness*n)) + d*n*fineness);
x = x + exp(-t/s) .* FastDCTSynthesis(cc,fineness) ...
* (2*n/s*(1-exp(-2*n/s)))^.5;
end
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