Skip to Main content Skip to Navigation
Journal articles

A Novel Split-Radix Fast Algorithm for 2-D Discrete Hartley Transform

Abstract : This paper presents a fast split-radix-(2×2)/(8×8) algorithm for computing the two-dimensional (2-D) discrete Hartley transform (DHT) of length N×N with N = q*2m, where q is an odd integer. The proposed algorithm decomposes an N×N DHT into one N/2×N/2 DHT and forty-eight N/8×N/8 DHTs. It achieves an efficient reduction on the number of arithmetic operations, data transfers and twiddle factors compared to the split-radix-(2×2)/(4×4) algorithm. Moreover, the characteristic of expression in simple matrices leads to an easy implementation of the algorithm. If implementing the above two algorithms with fully parallel structure in hardware, it seems that the proposed algorithm can decrease the area complexity compared to the split-radix-(2×2)/(4×4) algorithm, but requires a little more time complexity. An application of the proposed algorithm to 2-D medical image compression is also provided.
Complete list of metadatas

Cited literature [46 references]  Display  Hide  Download

https://www.hal.inserm.fr/inserm-00405223
Contributor : Lotfi Senhadji <>
Submitted on : Monday, May 17, 2010 - 10:45:07 AM
Last modification on : Friday, July 5, 2019 - 10:16:02 AM
Long-term archiving on: : Thursday, September 16, 2010 - 12:33:25 PM

Files

A_Novel_Split-Radix_Fast_Algor...
Files produced by the author(s)

Identifiers

Collections

Citation

Longyu Jiang, Huazhong Shu, Jiasong Wu, Lu Wang, Lotfi Senhadji. A Novel Split-Radix Fast Algorithm for 2-D Discrete Hartley Transform. IEEE Transactions on Circuits and Systems Part 1 Fundamental Theory and Applications, Institute of Electrical and Electronics Engineers (IEEE), 2010, 57 (4), pp.911-924. ⟨10.1109/TCSI.2009.2028639⟩. ⟨inserm-00405223⟩

Share

Metrics

Record views

510

Files downloads

1750