Fast radix-3 and radix-3/9 discrete Hartley transforms

Pak Kong Lun, Wan Chi Siu

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Abstract

An efficient radix-3/9 fast Hartley transform (FHT) algorithm is proposed. It shows a great improvement over the previous radix-3 FHT algorithm such that nearly 50% of the number of multiplications is saved. For the computation of real-valued DFTs (discrete Fourier transforms) with sequence lengths which are powers of 3, the proposed radix-3/9 algorithm gives an average of 16.2% reduction in the number of multiplications over the fastest radix-3/9 FFT (fast Fourier transform) algorithm. The improvement is mainly the result of the simplicity of the computing structure of the proposed algorithm and the use of fast length-3 and fast length-9 DHT modules.
Original languageEnglish
Pages (from-to)638-641
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume1
Publication statusPublished - 1 Dec 1991
Event1991 IEEE International Symposium on Circuits and Systems Part 1 (of 5) - Singapore, Singapore
Duration: 11 Jun 199114 Jun 1991

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

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