Title :
An algorithm to compute unified complex Hadamard transform
Author :
Rahardja, Susanto ; Xie, Shoulie
Author_Institution :
Agency for Sci., Technol. & Res., Inst. for Infocomm Res., Singapore, Singapore
Abstract :
This paper focuses on the study of unified complex Hadamard transforms (UCHT) whose transformation matrices contain elements ±1 and ±i. New properties of the UCHT are presented. From the newly discovered properties, the UCHT is conveniently calculated by computing real Walsh Hadamard transform (WHT) of real and imaginary parts of a set of data, which are multiplied by a set of constant complex values, and multiplying the transformed values by some constant complex factors.
Keywords :
Hadamard transforms; Walsh functions; signal processing; Walsh Hadamard transform; complex factor; constant complex values; unified complex Hadamard transforms; Digital signal processing; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Image processing; Image storage; Karhunen-Loeve transforms; Signal processing; Signal processing algorithms; Wiener filter;
Conference_Titel :
Signal Processing and Its Applications, 2003. Proceedings. Seventh International Symposium on
Print_ISBN :
0-7803-7946-2
DOI :
10.1109/ISSPA.2003.1224843
