Stability of a Class of Least Mean Square Algorithms

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Preface1. Preliminaries1.1. Short LMS Algorithm History1.2. Random Processes1.3. Stability and Convergence1.4. Linear Optimum Filtering1.5. Least MEan Squares Algorithm1.6. Partial Update Algorithms2. Classic Stability and Convergence Analysis2.1. Introduction2.2. Small-Step-Size Theory2.3. Independence Theory2.4. Stability of Modified LMS Algorithms2.5. Stability of Partial Update LMS Algorithms3. Control Theory-Based LMS Algorithm Stability Analysis3.1. Stability of LMS Algorithm3.2. Stability of Leaky LMS Algorithm3.3. Weak Stability Condition for Partial Update LMS Algorithms4. LMS Algorithm Applications4.1. Introduction4.2. System Identification4.3. Acoustic Echo Cancellation4.4. Adaptive Line Enhancer4.5. Active Noise Control4.6. Conclusions5. SummaryA. Mathematics Applied in this MonographB. Main Control Theory TheoremsReferencesNomenclatureIndex

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