The Bank of Matched Filters for an Optical ZCZ Code Using a Sylvester Type Hadamard Matrix

Takahiro MATSUMOTO  Shigeo TSUKIASHI  Shinya MATSUFUJI  Yoshihiro TANADA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.9   pp.2292-2298
Publication Date: 2006/09/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.9.2292
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Sequence Design and its Application in Communications)
optical communication,  optical ZCZ code,  M-ary/DS-SS system,  matched filter bank,  field programmable gate array,  

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The optical ZCZ code is a set of pairs of binary and bi-phase sequences with zero correlation zone. An optical M-ary direct sequence spread spectrum (M-ary/DS-SS) system using this code can detect a desired sequence without interference of undesired sequences. However, the bank of matched filters in a receiver circuit may fall into large scale. In this paper, we propose the compact construction of a bank of matched filters for an M-ary/DS-SS system using an optical ZCZ code. This filter bank can decrease the number of 2-input adders from O(N2) to O(N) and delay circuits from O(N2) to O(Nlog 2 N), respectively, and is implemented on a field programmable gate array (FPGA) corresponding to 400,000 logic gates.