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Published July 1, 2006 | public
Journal Article Open

Sphere-constrained ML detection for frequency-selective channels

Abstract

The maximum-likelihood (ML) sequence detection problem for channels with memory is investigated. The Viterbi algorithm (VA) provides an exact solution. Its computational complexity is linear in the length of the transmitted sequence, but exponential in the channel memory length. On the other hand, the sphere decoding (SD) algorithm also solves the ML detection problem exactly, and has expected complexity which is a low-degree polynomial (often cubic) in the length of the transmitted sequence over a wide range of signal-to-noise ratios. We combine the sphere-constrained search strategy of SD with the dynamic programming principles of the VA. The resulting algorithm has the worst-case complexity determined by the VA, but often significantly lower expected complexity.

Additional Information

© Copyright 2006 IEEE. Reprinted with permission. Paper approved by B. Hochwald, the Editor for MIMO Techniques of the IEEE Communications Society. Manuscript received April 2, 2004; revised December 14, 2004. [Posted online: 2006-07-17] This work was supported in part by the National Science Foundation under Grant CCR-0133818, and in part by the Office of Naval Research under Grant N00014-02-1-0578. This paper was presented in part at the 37th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 2003, and in part at the IEEE International Conference on Acoustics, Speech, and Signal Processing, Hong Kong, April 2003.

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August 22, 2023
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