POCS approach to Gabor analysis

Hans Georg Feichtinger; N. Kaiblinger; Peter Prinz

doi:10.1117/12.301373

1 February 1998 POCS approach to Gabor analysis

Hans Georg Feichtinger, N. Kaiblinger, Peter Prinz

Proceedings Volume 3346, Sixth International Workshop on Digital Image Processing and Computer Graphics: Applications in Humanities and Natural Sciences; (1998) https://doi.org/10.1117/12.301373
Event: Sixth International Workshop on Digital Image Processing and Computer Graphics, 1997, Vienna, Austria

Abstract

Gabor analysis is based on a well-structured composition of a signal or image as a series of building blocks. These are obtained by shifting and modulating a basic signal g along a time-frequency lattice (Lambda) . These families are typically non-orthogonal. Nevertheless suitable expansion coefficients of a signal f can be computed efficiently via the short time Fourier transform of f, using a canonically related window, the (Lambda) -dual atom g. A new iterative method to compute g is introduced, which is based on the Wexler-Raz principle and an appropriate version of POCS.

Citation Download Citation

Hans Georg Feichtinger, N. Kaiblinger, and Peter Prinz "POCS approach to Gabor analysis", Proc. SPIE 3346, Sixth International Workshop on Digital Image Processing and Computer Graphics: Applications in Humanities and Natural Sciences, (1 February 1998); https://doi.org/10.1117/12.301373

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