IMPLEMENTATION OF DISCRETE ORTHOGONAL-TRANSFORMS BASED ON ADAPTIVE FILTERING SYSTEMS

A number of approaches for implementing orthogonal analysers using ada ptive filtering techniques are investigated in this paper. A general c onnection between adaptive filtering and orthogonal transforms is pres ented. In particular, the LMS-based discrete orthogonal analyser is in vestigated and sufficient conditions for implementation are derived. W e then propose an orthogonal analyser using the adaptive Sampling Matr ix Inversion (SMI) algorithm, which is applicable for all orthogonal t ransforms. Finally, an orthogonal analyser using an adaptive Howells-A pplebaum loop is analysed and shown to be capable of performing the Fo urier analysis for continuous time signals.