Matrix expansions for computing the discrete hartley transform for blocklength N ≡ 0 (mod 4)

نویسندگان

  • R. C. de Oliveira
  • Ricardo M. Campello de Souza
  • Hélio Magalhães de Oliveira
چکیده

Abstract— A new fast algorithm for computing the discrete Hartley transform (DHT) is presented, which is based on the expansion of the transform matrix. The algorithm presents a better performance, in terms of multiplicative complexity, than previously known fast Hartley transform algorithms and same performance, in terms of additive complexity, than Split-Radix algorithm. A detailed description of the computation of DHTs with blocklengths 8 and 16 is shown. The algorithm is very attractive for blocklengths N ≥ 128.

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تاریخ انتشار 2012