General Euler Hadamard/DFT/DCT Polynomial Function for Complex Signal Processing

Author

Hou, Jia ; Lee, Moon Ho

Author_Institution

Sch. of Electron. & Inf., Soochow Univerisity, Suzhou, China

fYear

2009

fDate

25-27 June 2009

Firstpage

533

Lastpage

538

Abstract

We present a new real orthogonal design on some Hadamard/DFT/DCT polynomials. As examples, some proposed real orthogonal codes are constructed from the Hadamard 2-by-2 polynomial. The motivation of the proposal is based on Euler theorem, which gives the circle limitation and algebra for computing the elements. According to the proposed real codes, the inverse of the resultant matrices can be easily obtained from the element inverse by modulo operation as Jacket matrices.

Keywords

discrete Fourier transforms; discrete cosine transforms; matrix algebra; polynomials; signal processing; Euler Hadamard polynomial function; Euler theorem; Jacket matrices; complex signal processing; discrete Fourier transform polynomial function; discrete cosine transform polynomial function; orthogonal codes; Algebra; Discrete cosine transforms; Error correction; Error correction codes; High performance computing; Moon; Packaging; Polynomials; Signal processing; Signal processing algorithms; DCT; DFT; Euler function; Hadamard;

fLanguage

English

Publisher

ieee

Conference_Titel

High Performance Computing and Communications, 2009. HPCC '09. 11th IEEE International Conference on

Conference_Location

Seoul

Print_ISBN

978-1-4244-4600-1

Electronic_ISBN

978-0-7695-3738-2

Type

conf

DOI

10.1109/HPCC.2009.14

Filename

5167040