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IERBLETT - ERBlet non-stationary Gabor synthesis

Usage

fr = ierblett(c,g,shift,Ls,dual)
fr = ierblett(c,g,shift,Ls)
fr = ierblett(c,g,shift)

Input parameters

c Transform coefficients (matrix or cell array)
g Cell array of Fourier transforms of the analysis windows
shift Vector of frequency shifts
Ls Original signal length (in samples)
dual Synthesize with the dual frame

Output parameters

fr Synthesized signal (Channels are stored in the columns)

Description

Given the cell array c of non-stationary Gabor coefficients, and a set of filters g and frequency shifts shift this function computes the corresponding ERBlet synthesis.

If dual is set to 1 (default), an attempt is made to compute the canonical dual frame for the system given by g, shift and the size of the vectors in c. This provides perfect reconstruction in the painless case, see the references for more information.

References:

T. Necciari, P. Balazs, N. Holighaus, and P. L. Søndergaard. The ERBlet transform: An auditory-based time-frequency representation with perfect reconstruction. In Proceedings of the 38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013), pages 498--502, Vancouver, Canada, May 2013. IEEE.