Theory of optimal orthonormal filter banks

In a previous paper we derived a set of necessary and sufficient conditions for maximizing the coding gain in an orthonormal filter bank. These are referred to as the decorrelation and majorization conditions. While each of these two conditions is individually only necessary and not sufficient, they together form a set of necessary and sufficient conditions. In this paper we show how to relate these to the idea of energy compaction. This relation is then used to identify the optimum analysis filters one at a time.

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