Linear and quadratic time-frequency signal representations

Author

Hlawatsch, F. ; Boudreaux-Bartels, G.F.

Author_Institution

Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA

Volume

9

Issue

2

fYear

1992

fDate

4/1/1992 12:00:00 AM

Firstpage

21

Lastpage

67

Abstract

A tutorial review of both linear and quadratic representations is given. The linear representations discussed are the short-time Fourier transform and the wavelet transform. The discussion of quadratic representations concentrates on the Wigner distribution, the ambiguity function, smoothed versions of the Wigner distribution, and various classes of quadratic time-frequency representations. Examples of the application of these representations to typical problems encountered in time-varying signal processing are provided.<>

Keywords

frequency-domain analysis; reviews; signal processing; time-domain analysis; transforms; Wigner distribution; ambiguity function; linear representations; quadratic representations; short-time Fourier transform; time-frequency signal representations; time-varying signal processing; tutorial review; wavelet transform; Fourier transforms; Frequency domain analysis; Signal analysis; Signal processing; Signal representations; Signal resolution; Signal synthesis; Time domain analysis; Time frequency analysis; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing Magazine, IEEE

Publisher

ieee

ISSN

1053-5888

Type

jour

DOI

10.1109/79.127284

Filename

127284