Title :
Unified theory of displacement-covariant time-frequency analysis
Author :
Hlawatsch, Franz ; Bölcskei, Helmut
Author_Institution :
INTHFT, Tech. Univ. Wien, Austria
Abstract :
Presents a theory of linear and quadratic time-frequency representations (TFRs) that are covariant to time-frequency displacement operators. The theory unifies important TFR classes (short-time Fourier transform, wavelet transform; Cohen´s, affine, hyperbolic, and power classes), and it allows the systematic construction of new TFRs that are covariant to a given operator
Keywords :
Fourier transforms; mathematical operators; signal representation; time-frequency analysis; wavelet transforms; Cohen´s class; affine class; construction; displacement-covariant time-frequency analysis; hyperbolic class; linear time-frequency representations; power class; quadratic time-frequency representations; short-time Fourier transform; time-frequency displacement operators; unified theory; wavelet transform; Continuous wavelet transforms; Fourier transforms; Influenza; Kernel; Signal mapping; Time frequency analysis; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-2127-8
DOI :
10.1109/TFSA.1994.467299
