Compaction Filter as an Optimum Solution for Multirate Subband Coder of Cyclostationary Signals
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A consistent theory of optimum subband coding of zero mean wide-sense cyclostationary signals with N-periodic statistics is presented in this paper. Blocked polyphase representation of the analysis and synthesis filter banks is introduced as an effective way of multirate subband coder description. Optimum energy compaction using Nyquist-M process is presented as a solution for maximizing the coding gain of the coder. In two definitions and four theorems the author proves that Nyquist-M filters fulfill necessary and sufficient conditions imposed on subband signals. Results from Matlab simulations are presented to support theoretical conclusions.
KeywordsCoding gain, decimation, filter bank, polyphase representation, power spectral density matrix, multirate system, subband coding, compaction filter
Document typePeer reviewed
Document versionFinal PDF
SourceRadioengineering. 2003, vol. 12, č. 3, s. 25-31. ISSN 1210-2512
- 2003/3