Adaptive Processing The Least Mean Squares Approach with Applications in Transmission Odile Macchi Laboratoire des Signaux et SystEmes France Providing an in-depth study of adaptive systems used in digital signal processing, this book presents both theoretical concepts and applications. The author provides a rigorous investigation of LMS adaptive processing and exemplifies the concepts with channel data equalisation, echo cancellation and prediction for bit rate reduction. The text is divided into four key areas: Adaptive transversal filters, covering their transient aspects (speed of convergence) and their steady-state (fluctuations and misadjustment). Implementation aspects (binary word lengths and simplified sign algorithms). Tracking performance of adaptive filters in a time varying context. Adaptive recursive filters and their stability problems. This book presents a comprehensive mathematical treatment of adaptive processes based on realistic assumptions such as the finite memory of inputs. The author uses original research material organised in a unified framework. Particularly original are the chapters on sign algorithms, tracking performance and recursive filters in the presence of narrowband inputs. This comprehensive text will be of considerable interest to research students in digital communications and signal processing. In particular, this will be a valuable reference for professional practitioners working in the industrial R & D market.
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