Optimal multistage linear multiuser receiver

Louis G F Trichard*, Jamie S. Evans, Iain B. Collings

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


In this paper, we analyze a linear multiuser receiver for code-division multiple-access systems that is based on a matrix polynomial expansion. We focus on the receiver where the polynomial coefficients are chosen to minimize the mean squared error at the output and observe that the resultant coefficients are also signal-to-interference ratio maximizing. We present a simple derivation for the (known) large system coefficients and signal-to-interference ratio of this optimal multistage receiver and make a significant step toward a direct derivation of Honig and Xiao's recursive expression for this large system signal-to-interference ratio. Finally, we extend these results to take into account arbitrary power distributions.

Original languageEnglish
Pages (from-to)1092-1101
Number of pages10
JournalIEEE Transactions on Wireless Communications
Issue number3
Publication statusPublished - May 2005
Externally publishedYes


  • Large system analysis
  • Multistage receivers
  • Multiuser detection
  • Random spreading
  • Reduced-rank filtering


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