Exploiting spatial separations in CDMA systems with correlation constrained sets of Hadamard matrices

Derek Smith, Stephanie Perkins, Francis Hunt

Research output: Contribution to journalArticlepeer-review

Abstract

Spreading codes for CDMA systems are constructed based on Hadamard matrices and almost-bent functions. These codes can be assigned to a tessellation of hexagonal cells in such a way that codewords assigned to the same cell or to adjacent cells have zero cross-correlation. The non-zero cross-correlations in the code only apply to pairs of codewords assigned to non-adjacent cells. The codes have four times as many codewords as codes constructed from a single Hadamard matrix, which leads to significantly increased codeword re-use distances in comparison with the conventional use of a single Hadamard matrix with the same number of codewords per cell.
Original languageEnglish
Pages (from-to)5757 - 5761
Number of pages4
JournalIEEE Transactions on Information Theory
Volume56
Issue number11
DOIs
Publication statusE-pub ahead of print - 12 Nov 2010

Keywords

  • code assignment
  • code-division multiple-access systems
  • Gold codes
  • hadamard matrices
  • CDMA

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