Alias-Free Generalized DiscreteTime Time-Frequency Distributions

Jechang Jeong, W. J. Williams

Research output: Contribution to journalArticle

113 Citations (Scopus)

Abstract

Many of the bilinear time-frequency representations suggested so far are members of Cohen's class of generalized time-frequency distributions. For practical implementation of members of Cohen's class, a generalized discrete-time time-frequency distribution has been defined and used.In this paper, we introduce a new definition of generalized discrete-time time-frequency distribution. Unlike the existing one, the new definition utilizes all of the outer product terms from a data sequence, so that one can avoid aliasing. Furthermore, the new approach provides 1) proper implementation of the discrete-time spectrogram, 2) correct evaluation of the instantaneous frequency of the underlying continuous-time signal, and 3) correct frequency marginal.The new formulation provides a unified framework for implementing members of Cohen's class, which was formulated in the continuous-time domain. We discuss some requirements for the discrete-time kernel in the new approach in association with desirable distribution properties. Some experimental results are provided to illustrate the features of the proposed method.

Original languageEnglish
Pages (from-to)2757-2765
Number of pages9
JournalIEEE Transactions on Signal Processing
Volume40
Issue number11
DOIs
StatePublished - 1992 Jan 1

Cite this

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Alias-Free Generalized DiscreteTime Time-Frequency Distributions. / Jeong, Jechang; Williams, W. J.

In: IEEE Transactions on Signal Processing, Vol. 40, No. 11, 01.01.1992, p. 2757-2765.

Research output: Contribution to journalArticle

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