Fixed-point error analysis of discrete Wigner-Ville distribution

Author

Prabhu, K.M.M. ; Sundaram, R. Shanmuga

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Madras, India

Volume

45

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

2579

Lastpage

2582

Abstract

The Wigner-Ville distribution (WVD) has been a powerful signal processing tool for time-frequency signal analysis. Consequently, many algorithms have been proposed in the literature for computing the WVD in real-time applications. However, Boashash (1987) has proposed and showed that the evaluation of the analytic signal using the time-domain approach, and involving the Hilbert transformer, is the most efficient algorithm for real-time applications. A fixed-point error analysis of this algorithm has been carried out. The theoretical noise-to-signal ratio (NSR) is derived and verified through simulation. The results indicate that for this algorithm, the NSR increases by 0.5 bit/stage, whereas for the other algorithms, it increases by 1 bit/stage

Keywords

Hilbert transforms; Wigner distribution; digital arithmetic; error analysis; signal processing; time-domain analysis; Hilbert transformer; WVD; algorithms; analytic signal evaluation; discrete Wigner-Ville distribution; fixed-point error analysis; noise-to-signal ratio; real-time applications; signal processing; simulation; time-domain approach; time-frequency signal analysis; Circuits; Digital filters; Error analysis; IIR filters; Limit-cycles; Pipeline processing; Prototypes; Quantization; Signal processing; Signal processing algorithms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.640723

Filename

640723