A quantitative analysis of SNR in the short-time Fourier transform domain for multicomponent signals

Author

Xia, Xiang-Gen

Author_Institution

Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE, USA

Volume

46

Issue

1

fYear

1998

fDate

1/1/1998 12:00:00 AM

Firstpage

200

Lastpage

203

Abstract

A quantitative analysis is given for the signal-to-noise ratio (SNR) in the short-time Fourier transform domain for multicomponent signals in additive white noise. It is shown that the SNR is increased on the order of O(N/K), where K is the number of components of a signal, N/T is the sampling rate, and T is the window size. The SNR increase rate is optimal for given K. For this result, the SNR definition is generalized, which is suitable for signals not only in the time domain but also in other domains. This theory is illustrated by one numerical example

Keywords

Fourier transforms; interference (signal); signal sampling; time-domain analysis; white noise; SNR; additive white noise; multicomponent signals; quantitative analysis; sampling rate; short-time Fourier transform domain; signal-to-noise ratio; time domain; window size; Additive white noise; Fourier transforms; Frequency domain analysis; Frequency estimation; Image analysis; Sampling methods; Signal analysis; Signal to noise ratio; Speech analysis; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.651216

Filename

651216