NDLI: Rate-distortion-optimal subband coding without perfect-reconstruction constraints (2000).

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Rate-distortion-optimal subband coding without perfect-reconstruction constraints (2000).

Content Provider	CiteSeerX
Author	Mıhçak, M. Kıvanç Moulin, Pierre Anitescu, Mihai Ramchandran, Kannan
Abstract	We investigate the design of subband coders without the traditional perfect-reconstruction constraint on the filters. The coder uses scalar quantizers, and its filters and bit allocation are designed so as to optimize a rate-distortion criterion. Using convexity analysis, we show that optimality can be achieved using filter banks that are the cascade of a (paraunitary) principal component filter bank for the input spectral process and a set of pre-- and post--filters surrounding each quantizer. Analytical expressions for the pre-- and postfilters are then derived. An algorithm for computing the globally optimal filters and bit allocation is given. We also develop closed-form solutions for the special case of two-channel coders under an exponential rate--distortion model. Finally, we investigate a constrained-length version of the filter design problem, which is applicable to practical coding scenarios. While the optimal filter banks are nearly perfect-reconstruction at high rates, we demonstrate an apparently surprising advantage of optimal FIR filter banks: they significantly outperform optimal perfect-reconstruction FIR filter banks at all bit rates.
File Format	PDF
Publisher Date	2000-01-01
Access Restriction	Open
Subject Keyword	Perfect-reconstruction Constraint Rate-distortion-optimal Subband Coding Bit Allocation Principal Component Filter Bank High Rate Subband Coder Surprising Advantage Traditional Perfect-reconstruction Constraint Special Case Optimal Filter Bank Optimal Filter Exponential Rate Distortion Model Two-channel Coder Rate-distortion Criterion Filter Design Problem Closed-form Solution Input Spectral Process Bit Rate Filter Bank Optimal Fir Filter Bank Practical Coding Scenario Post Filter Convexity Analysis Optimal Perfect-reconstruction Fir Filter Bank Analytical Expression Constrained-length Version Scalar Quantizers
Content Type	Text

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