Gabor Space(1946)in discrete time-frequency space Minimum uncertainty in f time frequency Gabor Expansion s(t) space n △T orthogona base function
Gabor Space (1946) in discrete time-frequency space • Minimum uncertainty in timefrequency space • Un- orthogonal base function
The Coherent State(Gaussian Packet, Gabor Wavelet) WDb(t, a)=2 expl[(yo)2+(ao)211 The Uncertainty Principle in Quantum Mechanics Information Theor ΔtΔf≥(1/4兀)
The Coherent State (Gaussian Packet, Gabor Wavelet) The Uncertainty Principle in Quantum Mechanics & Information Theory WDb (t, ) = 2 exp{- [ (t/)2 + ()2 ] }