Adaptive recovery of a Doppler shifted mobile communications signal using the RLS algorithm

Author

Wei, Peifei ; Zeidler, James R. ; Ku, W.H.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA

Volume

2

fYear

1994

fDate

31 Oct-2 Nov 1994

Firstpage

1180

Abstract

This paper studies the ability of the exponentially weighted RLS algorithm to track a Doppler shifted BPSK communications signal. This is modeled as a chirped AR1 process in Gaussian white noise. Expressions for the optimum Wiener filter, noise misadjustment, and lag misadjustment are shown. It is shown that as in the chirped sinusoid case the error can be written in terms of the forgetting rate β=1-λ of the RLS algorithm; the noise misadjustment is of the order β and lag misadjustment of order 1/β². However, as the bandwidth of the signal increases the relative lag misadjustment is shown to decrease

Keywords

Doppler effect; Doppler shift; Wiener filters; adaptive filters; adaptive signal processing; autoregressive processes; filtering theory; land mobile radio; least mean squares methods; phase shift keying; radiowave propagation; recursive estimation; white noise; BPSK communications signal; Doppler shifted mobile communications signal; Gaussian white noise; adaptive filter; adaptive signal recovery; chirped AR1 process; chirped sinusoid; error; exponentially weighted RLS algorithm; forgetting rate; lag misadjustment; noise misadjustment; optimum Wiener filter; signal bandwidth; Adaptive filters; Algorithm design and analysis; Bandwidth; Binary phase shift keying; Chirp; Frequency; Mobile communication; Performance analysis; Resonance light scattering; Signal analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-6405-3

Type

conf

DOI

10.1109/ACSSC.1994.471645

Filename

471645