Title :
Theory of optimal orthonormal filter banks
Author :
Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
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
Keywords :
band-pass filters; circuit optimisation; correlation methods; encoding; filtering theory; coding gain; decorrelation condition; energy compaction; filter banks theory; majorization condition; necessary conditions; optimal orthonormal filter banks; optimum analysis filters; sufficient conditions; Additive noise; Bit rate; Channel bank filters; Code standards; Compaction; Decorrelation; Filter bank; Signal to noise ratio; Solid modeling; Sufficient conditions;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3192-3
DOI :
10.1109/ICASSP.1996.543944
