Novel FPGA implementations of Walsh-Hadamard transforms for signal processing

A Amira, A Bouridane, P Milligan, M Roula

    Research output: Contribution to journalArticlepeer-review

    30 Citations (Scopus)


    The paper describes two approaches suitable for a field-programmable gate-array (FPGA) implementation of fast Walsh-Hadamard transforms. These transforms are important in many signal-processing applications including speech compression, filtering and coding. Two novel architectures for the fast Hadamard transforms using both a systolic architecture and distributed arithmetic techniques are presented. The first approach uses the Baugh-Wooley multiplication algorithm for a systolic architecture implementation. The second approach is based on both a distributed arithmetic ROM and accumulator structure, and a sparse matrix-factorisation technique. Implementations of the algorithms on a Xilinx FPGA board are described. The distributed arithmetic approach exhibits better performances when compared with the systolic architecture approach.
    Original languageEnglish
    Pages (from-to)377-383
    JournalIEE Proceedings - Vision Image and Signal Processing
    Issue number6
    Publication statusPublished (in print/issue) - Dec 2001


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