The Construction of Orthogonal Variable Spreading Factor Codes from Semi-Bent Functions

Derek Smith, Francis Hunt

Research output: Contribution to journalArticlepeer-review

Abstract

In a recent paper spreading codes for CDMA systems were constructed based on Hadamard matrices and semi-bent functions. These codes were applicable to synchronous CDMA systems and to quasi-synchronous CDMA systems when a loosely-synchronized code is used. The codes consist of the union of rows of four Hadamard matrices. The codes can be assigned to a regular tessellation of hexagonal cells in such a way that the correlation between codewords assigned to adjacent cells is zero, while the correlation between codewords assigned to non-adjacent cells is small. The use of codewords from four Hadamard matrices allows greater codeword re-use distances than the use of codewords from a single Hadamard matrix. This has advantages for both satellite and terrestrial systems. These codes only support a single data rate. The current paper shows how orthogonal variable spreading factor codes can be created from them by a careful selection of the semibent functions used.
Original languageEnglish
Pages (from-to)2970 - 2975
Number of pages5
JournalIEEE transactions on Wireless Communications
Volume11
Issue number8
DOIs
Publication statusPublished - 17 Aug 2012

Keywords

  • code-division multiple-access systems
  • orthogonal variable spreading factor codes
  • code assignment

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