A novel fast algorithm for discrete Hartley transform of type-III base on the split-radix and first-order moments

Xia Hua; Jianguo Liu

doi:10.1117/12.2031007

27 October 2013 A novel fast algorithm for discrete Hartley transform of type-III base on the split-radix and first-order moments

Xia Hua, Jianguo Liu

Author Affiliations +

Proceedings Volume 8920, MIPPR 2013: Parallel Processing of Images and Optimization and Medical Imaging Processing; 892007 (2013) https://doi.org/10.1117/12.2031007
Event: Eighth International Symposium on Multispectral Image Processing and Pattern Recognition, 2013, Wuhan, China

Abstract

This paper introduces and evaluates a new algorithm for the computation of type-III discrete Hartley transforms (DHT) of length N = 2ⁿ. The length-N type-III discrete Hartley transforms can be decomposed into several length-16 type-III discrete Hartley transforms based on the radix-2 fast algorithm, and the length-16 type-III discrete Hartley transforms can be computed by first- order moments. It can save a lot of arithmetic operations and the computational complexity of the algorithms is lower than some existing methods. Moreover, this algorithm can be easily implemented.

Citation Download Citation

Xia Hua and Jianguo Liu "A novel fast algorithm for discrete Hartley transform of type-III base on the split-radix and first-order moments", Proc. SPIE 8920, MIPPR 2013: Parallel Processing of Images and Optimization and Medical Imaging Processing, 892007 (27 October 2013); https://doi.org/10.1117/12.2031007

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