Inexpensive Gabor decompositions

Sigang Qiu; Hans Georg Feichtinger; Thomas Strohmer

doi:10.1117/12.188778

11 October 1994 Inexpensive Gabor decompositions

Sigang Qiu, Hans Georg Feichtinger, Thomas Strohmer

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188778
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

This is a paper on the discrete Gabor transform. We discuss the calculation of dual and tight Gabor atoms, for Gabor atoms which satisfy certain support restrictions related to the relevant time- and frequency lattice constants. These conditions imply that the Gabor frame operator is just a pointwise multiplication operator and therefore computing the inverse or the square root of the inverse frame operator are computationally inexpensive.

Citation Download Citation

Sigang Qiu, Hans Georg Feichtinger, and Thomas Strohmer "Inexpensive Gabor decompositions", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188778

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