Two dimensional spectral estimation: A radon transform approach

A new technique for 2-D spectral estimation of a stationary random field (SRF) is investigated in this paper. This is based on the extension of the Radon transform theory to stationary random fields, proposed by Jain and Ansari [19]. Using Radon transform the 2-D estimation problem is reduced to a set of 1-D independent problems, which could then be solved using 1-D Linear Prediction (LP) or any other high resolution estimation procedure. This is unlike previous methods which obtains the 2-D Power Spectral Density (PSD) estimate by using 1-D high resolution techniques in the spirit of a separable estimator [2]. An example is provided to illustrate the performance of the new technique. Various features of this approach are highlighted.