Entropy minimax expansions for waveform analysis

摘要

Consider a collection of waveforms, each of which is treated as a set of independent variables containing information about some other (dependent) variable. This paper addresses the problem of finding informationally efficient expansions of the waveforms. A procedure is described for determining conditional entropy efficient basis functions for the given collection of waveforms, where the entropy is conditioned on the specified dependent variable. Use of these basis functions for approximate waveform reconstruction minimizes the loss of information about the dependent variable (the degree of approximation depending upon the number of basis functions used).