Understanding the PRBS signal as an optimum input signal in the wavelet-correlation method of system identification using multiresolution analysis

Author

Wilson, Stacy S.

Author_Institution

Western Kentucky Univ., Bowling Green, KY, USA

fYear

2005

fDate

8-10 April 2005

Firstpage

39

Lastpage

44

Abstract

This paper will focus on the relationship between the pseudo-random binary sequence (PRBS) signal and the dyadic lattice. A method for estimating the PRBS function by a series of Haar wavelets is derived and explained. Relating the PRBS signal to the Haar wavelet is advantageous because the Haar wavelet forms an orthonormal wavelet basis. Multiresolution analysis is used to write the PRBS signal as a finite series of Haar wavelets, and the dyadic period of the PRBS signal is exploited to make this task easier. The PRBS signal and dyadic lattice are shown to be complimentary choices for the wavelet-correlation (W-C) method.

Keywords

Haar transforms; binary sequences; correlation methods; parameter estimation; random sequences; signal resolution; wavelet transforms; Haar wavelet finite series; PRBS function estimation; PRBS signal; W-C method; dyadic lattice; dyadic period; multiresolution analysis; optimum input signal; orthonormal wavelet basis; pseudo-random binary sequence signal; system identification; wavelet-correlation method; Binary sequences; Correlation; Lattices; Multiresolution analysis; Shift registers; Signal generators; Signal processing; System identification; Transfer functions; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

SoutheastCon, 2005. Proceedings. IEEE

Print_ISBN

0-7803-8865-8

Type

conf

DOI

10.1109/SECON.2005.1423213

Filename

1423213