11 October 1994 General theory of discrete Gabor expansion
Author Affiliations +
We present a new and more general theory of discrete Gabor expansions for arbitrary dimensional spaces. We show that a discrete Gabor expansion is in fact a general frame decomposition. We provide a complete characterization of all possible discrete Gabor expansions. We reveal an intrinsic dimension invariance property of the (discrete) Gabor expansion. We derive a parametric algorithm for computing all analysis waveforms that are dimension independent. We shall also consider the issue of optimum Gabor expansion and the construction of non-separable 2D discrete Gabor expansions.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Shidong Li, Shidong Li, } "General theory of discrete Gabor expansion", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188777; https://doi.org/10.1117/12.188777

Back to Top