Title :
A whitener for a complex signal using a complex Toeplitz+Hankel solver
Author :
Moon, Todd K. ; Kochman, Fred ; Quirk, Maureen P.
Author_Institution :
Utah State Univ., Logan, UT, USA
Abstract :
We derive a solution to a complex Toeplitz+Hankel system of equations which arises in whitening a complex signal. Part of the development is similar to a method developed by Merchant and Parks; the key step is to transform the system into a block-Toeplitz system with 4×4 blocks. An interesting and nonobvious symmetry is then used to reduce the computational complexity roughly by a factor of two.
Keywords :
Hankel matrices; Toeplitz matrices; filtering theory; signal processing; white noise; Hankel system; block-Toeplitz system; complex Toeplitz system; complex whitening signal; Autocorrelation; Computational complexity; Equations; Filters; Matrix converters; Moon; Narrowband; Signal design; Speech enhancement; Transforms;
Conference_Titel :
Signals, Systems and Computers, 2004. Conference Record of the Thirty-Eighth Asilomar Conference on
Print_ISBN :
0-7803-8622-1
DOI :
10.1109/ACSSC.2004.1399289
