Title :
The unified discrete Fourier-Hartley transforms: theory and structure
Author :
Oraintara, Soontorn
Author_Institution :
Dept. of Electr. Eng., Texas Univ., Arlington, TX, USA
Abstract :
In this paper, the theory of the unified discrete Fourier-Hartley transform (UDFHT) is developed. The UDFHT includes the discrete Fourier and Hartley transforms of types I-IV as special cases, and with little modification, it also includes the discrete cosine and sine transforms of types II-IV. A unified efficient structure using fast Fourier transform is proposed. The UDFHT is then generalized (GDFHT) to the case of non-constant coefficients. Sufficient conditions for orthogonality of the transform are presented. The GDFHT can be used to compute the modified discrete cosine transform for both non-window and window modes as illustrated in the paper.
Keywords :
discrete Fourier transforms; discrete Hartley transforms; fast Fourier transforms; FFT; discrete cosine transforms; discrete sine transforms; fast Fourier transform; nonconstant coefficients; nonwindow mode; transform orthogonality; unified discrete Fourier-Hartley transforms; unified efficient structure; window mode; Digital signal processing; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Discrete wavelet transforms; Fast Fourier transforms; Fourier transforms; Hardware; Signal processing algorithms;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010253
