Title :
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
fDate :
5/1/1994 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
