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On Computation of Performance Bounds of Optimal Index Assignment

X. Wu (xwu***at***ece.mcmaster.ca)
H.D. Mittelmann (mittelmann***at***asu.edu)
X. Wang (wangxiaohan***at***gmail.com)
J. Wang (jiawang***at***sjtu.edu.cn)

Abstract: Channel-optimized index assignment of source codewords is arguably the simplest way of improving transmission error resilience, while keeping the source and/or channel codes intact. But optimal design of index assignment is an in- stance of quadratic assignment problem (QAP), one of the hardest optimization problems in the NP-complete class. In this paper we make a progress in the research of index assignment optimization. We apply some recent results of QAP research to compute the strongest lower bounds so far for channel distor- tion of BSC among all index assignments. The strength of the resulting lower bounds is validated by comparing them against the upper bounds produced by heuristic index assignment algorithms.

Keywords: Index assignment, quantization, error resilience, quadratic assign- ment, semide´┐Żnite programming, relaxation.

Category 1: Linear, Cone and Semidefinite Programming (Semi-definite Programming )

Category 2: Applications -- Science and Engineering (Other )

Citation: Data Compression Conference (DCC) 2010, IEEE, DOI 10.1109/DCC.2010.24, 189-198

Download: [PDF]

Entry Submitted: 02/18/2010
Entry Accepted: 02/18/2010
Entry Last Modified: 08/30/2013

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