THE GENERALIZED GABOR TRANSFORM

被引：33

作者：

YAO, J

KROLAK, P

STEELE, C

机构：

[1] UNIV MASSACHUSETTS, DEPT COMP SCI, LOWELL, MA 01854 USA

[2] UNIV MASSACHUSETTS, CTR PROD ENHANCEMENT, LOWELL, MA 01854 USA

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 1995年 / 4卷 / 07期

关键词：

D O I：

10.1109/83.392338

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The generalized Gabor transform is discussed. For a given function f(t), t is an element of R, the generalized Gabor transform finds a set of coefficients a(mr) such that GRAPHICS The original Gabor transform proposed by D, Gabor 1 is the special case of T = T', The computation of the generalized Gabor transform with biorthogonal functions is discussed. The optimal biorthogonal functions are discussed, A relation between a window function and its optimal biorthogonal function is presented based on the Zak transform when T/T' is rational. The finite discrete generalized Gabor transform is also derived. Methods of computation for the biorthogonal function are discussed. The relation between a window function and its optimal biorthogonal function derived for the continuous variable generalized Gabor transform can be extended to the finite discrete case. Efficient algorithms for the optimal biorthogonal function and generalized Gabor transform for the finite discrete case are proposed.

引用

页码：978 / 988

页数：11

共 26 条

[1] THE DISCRETE ZAK TRANSFORM APPLICATION TO TIME-FREQUENCY ANALYSIS AND SYNTHESIS OF NONSTATIONARY SIGNALS [J].