Discrete-time instantaneous frequency and its computation

Author

Sun, Mingui ; Sclabassi, Robert J.

Author_Institution

Pittsburgh Univ., PA, USA

Volume

41

Issue

5

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

1867

Lastpage

1880

Abstract

Classical results indicate that the means of the Fourier and instantaneous frequencies are exactly equal and the weighted variance of the Fourier frequency is greater than or equal to that of the instantaneous frequency. These results are investigated for the discrete case in which the signal and its spectrum are both assumed to be periodic. Specifically, the cases in which the discrete-time instantaneous frequency is defined as the forward, backward, and central differences are discussed. A simple algorithm for computing the discrete-time instantaneous frequency is presented whereby descriptors for the characterization of the signal are constructed. The application of this algorithm is discussed through examples

Keywords

spectral analysis; Fourier frequency; algorithm; discrete-time instantaneous frequency; periodic signal; periodic spectrum; weighted variance; Algorithm design and analysis; Digital filters; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Frequency modulation; Least mean square algorithms; Signal analysis; Signal processing algorithms; Sun;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.215305

Filename

215305