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Tikrit Journal of Engineering Sciences (2013) 20(1) 62-69

Improved FHT Algorithms for Fast Computation of the Discrete Hartley Transform

Mounir Taha Hamood
Electrical Eng. Dept., Tikrit University, Iraq

Abstract

In this paper, by using the symmetrical properties of the discrete Hartley transform (DHT), an improved radix-2 fast Hartley transform (FHT) algorithm with arithmetic complexity comparable to that of the real-valued fast Fourier transform (RFFT) is developed. It has a simple and regular butterfly structure and possesses the in-place computation property. Furthermore, using the same principles, the development can be extended to more efficient radix-based FHT algorithms. An example for the improved radix-4 FHT algorithm is given to show the validity of the presented method. The arithmetic complexity for the new algorithms are computed and then compared with the existing FHT algorithms. The results of these comparisons have shown that the developed algorithms reduce the number of multiplications and additions considerably.

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KeywordsPID controller, FPAA, Self-tuning, GA.

How to cite

TJES: Hamood MT. Improved FHT Algorithms for Fast Computation of the Discrete Hartley TransformTikrit Journal of Engineering Sciences 2013; 20(1): 62-69.
APA: Hamood, M. T. (2013). Improved FHT Algorithms for Fast Computation of the Discrete Hartley Transform. Tikrit Journal of Engineering Sciences, 20(1), 62-69.