Compaction Filter as an Optimum Solution for Multirate Subband Coder of Cyclostationary Signals
Daniel Kula · Brno University of Technology Digital Library (Brno University of Technology) · 2003
A consistent theory of optimum subband coding of zero meanwide-sense cyclostationary signals with N-periodic statistics ispresented in this paper. Blocked polyphase representation of theanalysis and synthesis filter banks is introduced as an effective wayof multirate subband coder description. Optimum energy compaction usingNyquist-M process is presented as a solution for maximizing the codinggain of the coder. In two definitions and four theorems the authorproves that Nyquist-M filters fulfill necessary and sufficientconditions imposed on subband signals. Results from Matlab simulationsare presented to support theoretical conclusions.