The unified discrete Fourier-Hartley transforms: theory and structure

Author

Oraintara, Soontorn

Author_Institution

Dept. of Electr. Eng., Texas Univ., Arlington, TX, USA

Volume

3

fYear

2002

fDate

2002

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on

Print_ISBN

0-7803-7448-7

Type

conf

DOI

10.1109/ISCAS.2002.1010253

Filename

1010253