Wigner-based formulation of the chirplet transform

被引:40
作者
Baraniuk, RG [1 ]
Jones, DL [1 ]
机构
[1] UNIV ILLINOIS,COORDINATED SCI LAB,URBANA,IL 61801
关键词
D O I
10.1109/78.553486
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Using the Wigner distribution, we derive and analyze a matrix formulation for the chirplet transform, a signal analysis tool that generalizes the wavelet and short-time Fourier transforms. The formulation expresses the translations, scalings, and shears of the chirplet transform in terms of affine matrix transformations on the time-frequency plane. Our approach leads naturally to several new signal transforms, which we derive, analyze, and extend.
引用
收藏
页码:3129 / 3135
页数:7
相关论文
共 22 条
[1]   UNITARY EQUIVALENCE - A NEW TWIST ON SIGNAL-PROCESSING [J].
BARANIUK, RG ;
JONES, DL .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (10) :2269-2282
[2]   SHEAR MADNESS - NEW ORTHONORMAL BASES AND FRAMES USING CHIRP FUNCTIONS [J].
BARANIUK, RG ;
JONES, DL .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (12) :3543-3549
[3]  
BARANIUK RG, 1992, THESIS U ILLINOIS UR
[4]  
BARANIUK RG, 1992, P IEEE INT C AC SPEE, V5, P137
[5]  
BARANIUK RG, 1995, MEASURING TIME FREQU
[6]  
BERTHON A, 1989, WAVELETS TIME FREQUE, P172
[7]   FAST NUMERICAL ALGORITHM FOR RECOMPRESSION OF DISPERSED TIME SIGNALS [J].
BOOER, AK ;
CHAMBERS, J ;
MASON, IM .
ELECTRONICS LETTERS, 1977, 13 (16) :453-455
[8]  
Cohen L, 1995, Prentice Hall signal processing series
[9]  
Folland G. B., 1989, HARMONIC ANAL PHASE
[10]  
GROSSMANN A, 1984, LECT NOTES PHYS, V211, P128