Linear filtering methods for fixed rate quantisation with noisy symmetric error channels

Thiagarajan, Ganesan and Murthy, Chandra Ramabhadra (2013) Linear filtering methods for fixed rate quantisation with noisy symmetric error channels. In: IET SIGNAL PROCESSING, 7 (9). pp. 888-896.

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Abstract

This study considers linear filtering methods for minimising the end-to-end average distortion of a fixed-rate source quantisation system. For the source encoder, both scalar and vector quantisation are considered. The codebook index output by the encoder is sent over a noisy discrete memoryless channel whose statistics could be unknown at the transmitter. At the receiver, the code vector corresponding to the received index is passed through a linear receive filter, whose output is an estimate of the source instantiation. Under this setup, an approximate expression for the average weighted mean-square error (WMSE) between the source instantiation and the reconstructed vector at the receiver is derived using high-resolution quantisation theory. Also, a closed-form expression for the linear receive filter that minimises the approximate average WMSE is derived. The generality of framework developed is further demonstrated by theoretically analysing the performance of other adaptation techniques that can be employed when the channel statistics are available at the transmitter also, such as joint transmit-receive linear filtering and codebook scaling. Monte Carlo simulation results validate the theoretical expressions, and illustrate the improvement in the average distortion that can be obtained using linear filtering techniques.

Item Type:	Journal Article
Publication:	IET SIGNAL PROCESSING
Publisher:	INST ENGINEERING TECHNOLOGY-IET
Additional Information:	copyright for this article belongs to INST ENGINEERING TECHNOLOGY-IET, MICHAEL FARADAY HOUSE SIX HILLS WAY STEVENAGE, HERTFORD SG1 2AY, ENGLAND
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	18 Jun 2014 03:57
Last Modified:	18 Jun 2014 03:57
URI:	http://eprints.iisc.ac.in/id/eprint/49269

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