Opening with an explanation of transmission systems, this text moves on to discuss the theory of adaptive transversal (FIR) filters, covering the optimal filter, transient error and steady-state fluctuations. Practical implementation of this theory is explored. The LMS filter and simplified sign-algorithms are explained in detail. Several chapters are devoted to methods for tracking time-variations and the book draws to a close with a discussion of adaptive recursive (IIR) filters.
Table of Contents
THE LMS THEORY OF ADAPTIVE TRANSVERSAL FILTERS.
Introduction--The Optimal Filter.
Adaptivity and Recursivity.
The LMS Case with Independent Input Vectors.
A Realistic Model to Prove Convergence.
The Transient Error and the Speed of
Convergence (n ).
Fluctuations in the Steady State and
Complexity and Precision of the LMS Algorithm.
The Simplified Sign Algorithms.
TRACKING THE TIME VARIATIONS.
Adaptive Filtering in the Presence of Time
Tracking Bounded Time Variations.
Tracking Random Time Variations.
The Digital Phase Tracking Loop.
ADAPTIVE RECURSIVE FILTERS.
Recursive Filtering and Prediction in
LMS Recursive Predictors.
Stability of Adaptive Algorithms.