Symmetric extension methods for M-channel PR LP FIR analysis/synthesis systems

In this paper we study support preservative (SP) symmetric extension methods for M-channel perfect-reconstruction linear-phase FIR analysis/synthesis systems. For a given finite-duration sequence and a given FIR linear-phase filter bank, necessary and sufficient conditions are derived such that SP symmetric extensions exist. Moreover, explicit methods are given to construct the extensions. Results are extended to linear-phase paraunitary filter banks. Design examples and experiments in 2, 3, 4 and 8 channel cases are included to verify the theory.<
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