New energy distribution on the time-frequency plane

Tzu-Hsien Sang*, William J. Williams

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

Abstract

A new Time-Frequency Distribution (TFD) is developed along the line of thinking of the concentration issue of TFDs. A new formulation is given to shed new light on this issue for the Short-Time Fourier Transform (STFT). The new insight is then extended to more general energy density functions and. A procedure is developed to construct a complex-valued function which plays a similar role as the STFT does and has a superior concentration limit. The magnitude of this new function is used as the energy density function on the T-F plane. Numerical examples, in certain cases of which the auto terms are preserved while the cross terms are virtually eliminated, justify our intuition.

Original languageEnglish
Pages313-316
Number of pages4
DOIs
StatePublished - 1 Jan 1998
EventProceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Pittsburgh, PA, USA
Duration: 6 Oct 19989 Oct 1998

Conference

ConferenceProceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CityPittsburgh, PA, USA
Period6/10/989/10/98

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