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Entropy-constrained trellis-coded quantization

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2 Author(s)
Fischer, T.R. ; Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA ; Wang, M.

Trellis-coded quantization is generalized to allow noiseless coding of the trellis branch reproduction symbols. An entropy-constrained trellis-coded quantization (ECTCQ) design algorithm is presented, based on the generalized Lloyd algorithm for trellis code design and the entropy-constrained vector quantization design algorithm. ECTCQ systems are designed for memoryless Gaussian and Laplacian sources, and for first- and second-order Gauss-Markov sources. With an 8-state trellis, the mean-squared error ECTCQ encoding performance for memoryless sources with smooth densities is within about 0.5 dB of the rate-distortion function. Small additional improvements are achieved with larger trellises. Similar, though not quite as good, performance is achieved for the Gauss-Markov sources by using the ECTCQ in a predictive coding structure.<>

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Information Theory, IEEE Transactions on  (Volume:38 ,  Issue: 2 )