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Please use this identifier to cite or link to this item: http://hdl.handle.net/1860/2542

Title: Optimality and duality of the turbo decoder
Authors: Regalia, Phillip A.
Walsh, John MacLaren
Keywords: Dual Optimization;Free Energy Minimization;Information Geometry;Maximum Likelihood Estimation;Turbo Decoder
Issue Date: Jun-2007
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Citation: Proceedings of the IEEE, 95(6): pp. 1362-1377.
Abstract: The near-optimal performance of the turbo decoder has been a source of intrigue among communications engineers and information theorists, given its ad hoc origins that were seemingly disconnected from optimization theory. Naturally one would inquire whether the favorable performance might be explained by characterizing the turbo decoder via some optimization criterion or performance index. Recently, two such characterizations have surfaced. One draws from statistical mechanics and aims to minimize the Bethe approximation to a free energy measure. The other characterization involves constrained likelihood estimation, a setting perhaps more familiar to communications engineers. The intent of this paper is to assemble a tutorial overview of these recent developments, and more importantly to identify the formal mathematical duality between the two viewpoints. The paper includes tutorial background material on the information geometry tools used in analyzing the turbo decoder, and the analysis accommodates both the parallel concatenation and serial concatenation schemes in a common framework.
URI: http://dx.doi.org/10.1109/JPROC.2007.896495
Appears in Collections:Faculty Research and Publications (ECE)

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