Title :
Fast computation of Gabor functions
Author :
Lu, Youhong ; Morris, Joel M.
Author_Institution :
Coherent Commun. Syst. Corp., Leesburg, VA, USA
fDate :
3/1/1996 12:00:00 AM
Abstract :
This letter presents a new frame condition for the Gabor expansion that avoids the estimation of frame bounds and the Zak transform and a fast new algorithm to compute the dual frame based on a biorthogonal condition. One of the main contributions of this work is that we can obtain a pair of analysis and synthesis functions that generate a frame and dual-frame pair without computation of frame bounds.
Keywords :
recursive estimation; signal processing; signal synthesis; Gabor expansion; Gabor functions; analysis functions; biorthogonal condition; dual frame; fast computation; frame condition; recursive method; signal processing; synthesis functions; Algorithm design and analysis; Difference equations; Frequency modulation; Signal analysis; Signal design; Signal processing; Signal processing algorithms; Signal synthesis; Time frequency analysis;
Journal_Title :
Signal Processing Letters, IEEE
