A resolution-controllable harmonical retrieval approach on the Chrestenson discrete space

Author

Zhou, Mingyong ; Liu, Zhongkan ; Hama, Hiromitsu

Author_Institution

Inf. Syst. Lab., Osaka City Univ., Japan

Volume

42

Issue

5

fYear

1994

fDate

5/1/1994 12:00:00 AM

Firstpage

1281

Lastpage

1284

Abstract

The conventional harmonical retrieval problem is considered in the Chrestenson (1955) function space. The purpose is to elucidate the relations between the Chrestenson and Fourier transform and also their difference through the harmonical retrieval problem. It can be shown that the spectral resolution and precision can be controlled by the Chrestenson function order p. It is also concluded that if the autocorrelation data is p and a signal is assumed as p-adic stationary, the spectra obtained by the Chrestenson transform is its maximum entropy estimation

Keywords

Fourier transforms; entropy; signal processing; spectral analysis; Chrestenson discrete space; Chrestenson function space; Chrestenson transform; Fourier transform; autocorrelation data; harmonical retrieval problem; maximum entropy estimation; precision; resolution control; spectral resolution; stationary signal; Acoustic signal processing; Aerospace engineering; Autocorrelation; Discrete Fourier transforms; Entropy; Fourier transforms; Harmonic analysis; Information systems; Signal resolution; Underwater acoustics;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.295181

Filename

295181