Title :
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
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;
Conference_Titel :
Electrical and Computer Engineering, 1995. Canadian Conference on
Conference_Location :
Montreal, Que.
Print_ISBN :
0-7803-2766-7
DOI :
10.1109/CCECE.1995.526568
