On some intrinsic properties of the Radon transform of an SRF with application to 2-D spectrum estimation

Author

Galigekere, Ramesh R. ; Plotkin, Eugene I.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada

Volume

2

fYear

1995

fDate

5-8 Sep 1995

Firstpage

882

Abstract

Some important issues that arise in applications involving the Radon transform (RT) of a stationary random field (SRF), specifically 2-D spectrum estimation (SE), are brought out. An expression for the RT of an SRF is developed based on a representation of an SRF of a given power spectrum density (PSD), valid up to second order statistics. The expression is useful in relating the autocorrelation function (ACF) of the RT with the RT of the 2-D ACF, as well as in highlighting some properties of the RT associated with an SRF. Inherent windowing that is inevitable in practice, and some of its implications on 2-D SE using the RT are discussed

Keywords

Radon transforms; correlation methods; estimation theory; random processes; signal processing; spectral analysis; statistical analysis; 2D ACF; 2D spectrum estimation; Radon transform; autocorrelation function; power spectrum density; second order statistics; stationary random field; windowing; Application software; Autocorrelation; Computed tomography; Density functional theory; Frequency; Image analysis; Image coding; Signal processing; Spectral analysis; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 1995. Canadian Conference on

Conference_Location

Montreal, Que.

ISSN

0840-7789

Print_ISBN

0-7803-2766-7

Type

conf

DOI

10.1109/CCECE.1995.526568

Filename

526568