A parametric class of discrete Gabor expansions

摘要: The Gabor expansion and its discretization have been widely studied, many potential applications suggested in various signal processing problems. A new approach to the study of discrete (DGE) is introduced analyzed detail using theory pseudoframe decompositions. parametric analytical formula for a class different analysis sequences derived. It simple algebraic rather than another abstract system equations. For first time, structure questioned. We show that while there infinite possess (translation complex modulation) structure, are also arbitrary forms. Simulation results provided demonstrate proposed algorithms. DGE by means decompositions reveals much broader mathematical perspective on DGE. general algorithm derived provides feasible platform optimizations expansions arising from applications. This an area can surely be exploited as algorithms DGEs become known more intensive.