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High-Rate Analysis of Channel-Optimized Vector Quantization

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2 Author(s)
Chandra R. Murthy ; Beceem Communications, Embassy Star, 4th Floor, No. 8, Vasanth Nagar, Bangalore 560 052, India. cmurthy1@gmail.com ; Bhaskar D. Rao

This paper considers the high-rate performance of channel optimized source coding for noisy discrete symmetric channels with random index assignment. Specifically, with mean squared error (MSE) as the performance metric, an upper bound on the asymptotic (i.e., high-rate) distortion is derived by assuming a general structure on the codebook. This structure enables extension of the analysis of the channel optimized source quantizer to one with a singular point density: for channels with small errors, the point density that minimizes the upper bound is continuous, while as the error rate increases, the point density becomes singular. The extent of the singularity is also characterized. The accuracy of the expressions obtained are verified through Monte Carlo simulations.

Published in:

2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07  (Volume:3 )

Date of Conference:

15-20 April 2007