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Necessary conditions for the optimality of variable-rate residual vector quantizers

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3 Author(s)
Kossentini, F. ; Digital Signal Process. Lab., Georgia Inst. of Technol., Atlanta, GA, USA ; Smith, M.J.T. ; Barnes, C.F.

Necessary conditions for the optimality of variable-rate residual vector quantizers are derived, and an iterative descent algorithm based on a Lagrangian formulation is introduced for designing residual vector quantizers having minimum average distortion subject to an entropy constraint. Simulation results for entropy-constrained residual vector quantizers are presented for memoryless Gaussian, Laplacian, and uniform sources. A Gauss-Markov source is also considered. The rate-distortion performance is shown to be competitive with that of entropy-constrained vector quantization and entropy-constrained trellis-coded quantization

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Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 6 )