Title :
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
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;
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
DOI :
10.1109/HPCC.2009.14
