Time-frequency representations with multiform, tiltable Chebyshev kernels

Author

Costa, Antonio H. ; Boudreaux-Bartels, G. Faye

Author_Institution

Dept. of Electr. & Comput. Eng., Massachusetts Univ., North Dartmouth, MA, USA

Volume

2

fYear

1995

fDate

9-12 May 1995

Firstpage

1001

Abstract

We formulate and provide design equations for novel time-frequency representations (TFRs) with multiform, tiltable (MT) Chebyshev kernels whose passband support regions are capable of attaining a wide diversity of iso-contour shapes in the ambiguity function (AF) plane, e.g., parallel strips, crosses, tilted and untilted ellipses, diamonds, hyperbolas, rectangles, etc. Simple constraints on the parameters of the new kernels can be used to guarantee many desirable properties of TFRs

Keywords

functional analysis; parameter estimation; signal representation; time-frequency analysis; ambiguity function; crosses; design equations; diamonds; hyperbolas; iso-contour shapes; multiform tiltable Chebyshev kernels; parallel strips; parameter constraints; passband support regions; rectangles; tilted ellipse; time-frequency representations; untilted ellipse; Chebyshev approximation; Chirp; Equations; Filters; Kernel; Passband; Shape; Spectrogram; Strips; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

Conference_Location

Detroit, MI

ISSN

1520-6149

Print_ISBN

0-7803-2431-5

Type

conf

DOI

10.1109/ICASSP.1995.480345

Filename

480345