Some Fundamental Properties Of MMSE Filter Banks

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 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

Some Fundamental Properties Of Mmse Filter Banks

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 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. 1. INTRODUCTION We consider M --channel subband coders with analysis filters fH i (f); 0 i ! Mg and synthesis filters f ~ H i (f); 0 i ! Mg. Fig. 1 shows an equivalent representation of the codec in terms of the M \Theta M analysis and synthesis polyphase matrices H(f) and ~ H(f ). The problem of..