Instantaneous frequency and kernel requirements for discrete time-frequency distributions

Jechang Jeong; Gregory S. Cunningham; William J. Williams

doi:10.1117/12.23474

1 November 1990 Instantaneous frequency and kernel requirements for discrete time-frequency distributions

Jechang Jeong, Gregory S. Cunningham, William J. Williams

Proceedings Volume 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations; (1990) https://doi.org/10.1117/12.23474
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

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.

Citation Download Citation

Jechang Jeong, Gregory S. Cunningham, and William J. Williams "Instantaneous frequency and kernel requirements for discrete time-frequency distributions", Proc. SPIE 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations, (1 November 1990); https://doi.org/10.1117/12.23474

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