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

• Published in: IEEE 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
• Language: English
• Published: IEEE 01.01.2016
• Subjects: 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
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2015.2486745

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.