An unbiased explicit adaptive gain and time-delay estimation algorithm

Author

Levy, Bernard C.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of California, Davis, CA, USA

fYear

2009

fDate

1-4 Nov. 2009

Firstpage

1345

Lastpage

1349

Abstract

An unbiased explicit adaptive gain and time-delay estimation algorithm is presented. An earlier algorithm for explicit estimation of gain and time-delay proposed in is known to yield a biased estimate of the gain. By observing that the bias is due to the dependence of the power of the noise component of the error on the estimated gain, a normalization is introduced which ensures that the power of the noise component is not affected by the gain estimate. By using a stochastic averaging approach to analyze the convergence of the adaptive algorithm, it is shown that the modified algorithm is unbiased. Simulations are presented which confirm the theoretical analysis.

Keywords

delay estimation; signal denoising; stochastic processes; stochastic averaging approach; time-delay estimation algorithm; unbiased explicit adaptive gain; Adaptive algorithm; Algorithm design and analysis; Calibration; Convergence; Delay effects; Delay estimation; Finite impulse response filter; Signal to noise ratio; Stochastic resonance; Yield estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 2009 Conference Record of the Forty-Third Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

978-1-4244-5825-7

Type

conf

DOI

10.1109/ACSSC.2009.5469899

Filename

5469899