Orthogonal extensions of AR processes without artificial discontinuities for size-limited filter banks

Abstract

This work is concerned with extension techniques of finite signals for subband processing using tree-structured filter banks. In many applications it is desirable that the selected extension defines an orthogonal transform. Although it is clear that periodization solves this problem, some complications arise when using this technique: spurious high frequencies or artificial discontinuities appear in the transform vector. Considering AR processes as input signals, the solution of this problem is an algorithm for the generation of alternative orthogonal signal extensions which do not introduce artificial discontinuities in the subband signals. Experimental results that illustrate the effectiveness of the proposed design method are discussed briefly.