GLRT-optimal noncoherent lattice decoding

Daniel J. Ryan*, Iain B. Collings, I. Vaughan L Clarkson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


This paper presents new low-complexity lattice-decoding algorithms for noncoherent block detection of quadrature amplitude modulation (QAM) and pulse amplitude modulation (PAM) signals over complex-valued fading channels. The algorithms are optimal in terms of the generalized likelihood ratio test (GLRT). The computational complexity is polynomial in the block length; making GLRT-optimal noncoherent detection feasible for implementation. We also provide even lower complexity suboptimal algorithms. Simulations show that the suboptimal algorithms have performance indistinguishable from the optimal algorithms. Finally, we consider block-based transmission, and propose to use noncoherent detection as an alternative to pilot-assisted transmission (PAT). The new technique is shown to outperform PAT.

Original languageEnglish
Pages (from-to)3773-3786
Number of pages14
JournalIEEE Transactions on Signal Processing
Issue number7 II
Publication statusPublished - Jul 2007
Externally publishedYes


  • Lattice decoding
  • Noncoherent detection
  • Wireless communications


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