Some fundamental properties of MMSE filter banks

M.K. Mihcak, P. Moulin, K. Ramchandran, M. Anitescu
Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)  
We design filter banks that are best matched to input signal statistics in M -channel subband coders, using a broad class of rate-distortion criteria. We present fundamental properties and analytical expressions for minimum mean-squared error (MMSE) filter banks, without constraints on filter length, under optimal bit allocation requirements. We also investigate a constrained-length version of this problem, which is applicable to practical coding scenarios. While the optimal filter banks are
more » ... filter banks are nearly perfect-reconstruction at high rates, we show that MMSE FIR filter banks enjoy a significant advantage (in the MSE sense) over optimal perfect-reconstruction FIR filter banks at all rates.
doi:10.1109/tfsa.1998.721477 fatcat:weeaiuvqxzccvnzoffwsddpn5e