Title :
Radix-3
3 Algorithm for The 2-D Discrete Hartley Transform
Author :
Wu, J.S. ; Shu, H.Z. ; Senhadji, L. ; Luo, L.M.
Author_Institution :
Centre de Rech. en Inf. Biomed. Sino-Francais (CRIBs), INSERM, Rennes
fDate :
6/1/2008 12:00:00 AM
Abstract :
In this correspondence, we propose a vector-radix algorithm for the fast computation of a 2-D discrete Hartley transform (DHT). For data sequences whose length is a power of three, a radix-3 times 3 decimation in frequency algorithm is developed. It decomposes a length-N times N DHT into nine length-(N/3) times N (N/3) DHTs. Comparison of the computational complexity with known algorithms shows that the proposed algorithm, in some cases, reduces significantly the number of arithmetic operations.
Keywords :
discrete Hartley transforms; matrix algebra; 2D discrete Hartley transform; computational complexity; data sequences; vector-radix algorithm; 2-D discrete Hartley transform (DHT); 2-D radix-3$,times ,$3; vector-radix algorithm;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.916796