TELKOMNIKA Telecommunication, Computing, Electronics and Control
Direct split-radix algorithm for fast computation of type-II discrete Hartley transform

TELKOMNIKA Telecommunication, Computing, Electronics and Control
Direct split-radix algorithm for fast computation of type-II discrete Hartley transform

Decimation-in-time approach, Discrete Hartley transform, Generalized DHTs, Split radix algorithm Type-II DHT (DHT-II)

In this paper, a novel split-radix algorithm for fast calculation the discrete Hartley transform of type-II (DHT-II) is intoduced. The algorithm is established through the decimation in time (DIT) approach, and implemented by splitting a length N of DHT-II into one DHT-II of length N/2 for even-indexed samples and two DHTs-II of length N/4 for odd-indexed samples. The proposed algorithm possesses the desired properties such as regularity, inplace calculation and it is represented by simple closed form decompositions leading to considerable reductions in the arithmetic complexity compared to the existing DHT-II algorithms. Additionally, the validity of the proposed algorithm has been confirmed through analysing the arithmetic complexity by calculating the number of real additions and multiplications and associating it with the existing DHT-II algorithms.

Mounir Taha Hamood

DOI: 10.12928/TELKOMNIKA.v18i6.16100

Universitas Ahmad Dahlan

October 2020

Sri Wahyuni

ISSN: 1693-6930

http://journal.uad.ac.id/index.php/TELKOMNIKA

PDF

English

Text

TELKOMNIKA Telecommunication, Computing, Electronics and Control