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Proceedings Paper

Instantaneous frequency and kernel requirements for discrete time-frequency distributions
Author(s): Jechang Jeong; Gregory S. Cunningham; William J. Williams
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Paper Abstract

In this paper we introduce a new definition for the instantaneous frequency of a discrete-time analytic signal. Unlike the existing definition which uses only two data samples around a particular time this method utilizes all the data samples for estimating the instantaneous frequency. We prove that this quantity is identical to the average frequency evaluated at the particular time in the discrete-time TFD. This property is consistent with the analogous continuous-time property. We also derive requirements on the discrete-time kernel needed to satisfy this property. Using computer-generated signals and real data performance comparisons are made between the proposed approach and the existing one.

Paper Details

Date Published: 1 November 1990
PDF: 11 pages
Proc. SPIE 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations, (1 November 1990); doi: 10.1117/12.23474
Show Author Affiliations
Jechang Jeong, Univ. of Michigan (United States)
Gregory S. Cunningham, Univ. of Michigan (United States)
William J. Williams, Univ. of Michigan (United States)

Published in SPIE Proceedings Vol. 1348:
Advanced Signal Processing Algorithms, Architectures, and Implementations
Franklin T. Luk, Editor(s)

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