Stochastic Analysis of an Adaptive Line Enhancer/Canceler With a Cyclostationary Input

This paper studies the second moment behavior of the adaptive line enhancer (ALE)/adaptive line canceler (ALC) for a cyclostationary input consisting of a fixed amplitude random phase sine wave plus a white Gaussian process with periodic power variations. Both transient and steady-state results are...

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Published inIEEE transactions on signal processing Vol. 64; no. 1; pp. 104 - 119
Main Authors Bershad, Neil J., Eweda, Eweda, Bermudez, Jose C. M.
Format Journal Article
LanguageEnglish
Published IEEE 01.01.2016
Subjects
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ISSN1053-587X
1941-0476
DOI10.1109/TSP.2015.2486745

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Abstract This paper studies the second moment behavior of the adaptive line enhancer (ALE)/adaptive line canceler (ALC) for a cyclostationary input consisting of a fixed amplitude random phase sine wave plus a white Gaussian process with periodic power variations. Both transient and steady-state results are shown to be in good-to-excellent agreement with Monte Carlo simulations. The main conclusion is that periodic input power variations cause periodic processing gain variations of the ALE/ALC with the same period as the input power. However, these variations do not cause a large degradation in the ALE/ALC performance.
AbstractList This paper studies the second moment behavior of the adaptive line enhancer (ALE)/adaptive line canceler (ALC) for a cyclostationary input consisting of a fixed amplitude random phase sine wave plus a white Gaussian process with periodic power variations. Both transient and steady-state results are shown to be in good-to-excellent agreement with Monte Carlo simulations. The main conclusion is that periodic input power variations cause periodic processing gain variations of the ALE/ALC with the same period as the input power. However, these variations do not cause a large degradation in the ALE/ALC performance.
Author Eweda, Eweda
Bermudez, Jose C. M.
Bershad, Neil J.
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  givenname: Jose C. M.
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  organization: Dept. of Electr. Eng., Fed. Univ. of Santa Catarina, Florianopolis, Brazil
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SubjectTerms Adaptive filters
Algorithm design and analysis
Amplitudes
analysis
Broadband communication
Computer simulation
Gain
Gaussian
Least squares approximations
line enhancer
Line enhancers
LMS algorithm
Monte Carlo methods
Narrowband
nonstationary environment
Signal processing
Signal processing algorithms
Sine waves
Steady-state
Transaction processing
Title Stochastic Analysis of an Adaptive Line Enhancer/Canceler With a Cyclostationary Input
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