Contents 9.1 Typical Applications of Adaptive Filters 9.2 Principles of Adaptive Filters 9.3 Method of Steepest Descent 9.4 Least-Mean-Square Adaptive Filters 9.5 Recursive Least-Squares Adaptive Filters 9.6 Fast RLS Algorithms for FIR Filtering 9.7 Tracking Performance of Adaptive Algorithms 9.8 Summary
9.1 Typical Applications of Adaptive Filters 9.2 Principles of Adaptive Filters 9.3 Method of Steepest Descent 9.4 Least-Mean-Square Adaptive Filters 9.5 Recursive Least-Squares Adaptive Filters 9.6 Fast RLS Algorithms for FIR Filtering 9.7 Tracking Performance of Adaptive Algorithms 9.8 Summary Contents
9.2 Principles of Adaptive Filter 9.2.1 Features of Adaptive Filters 9.2.2 Optimum versus Adaptive Filters 9.2.3 Stability and Steady-State Performance ofAF 9.2.4 Some Practical Considerations
9.2 Principles of Adaptive Filter 9.2.1 Features of Adaptive Filters 9.2.2 Optimum versus Adaptive Filters 9.2.3 Stability and Steady-State Performance of AF 9.2.4 Some Practical Considerations
9.2.1 Features of Adaptive Filters Input Output signal Filtering signal structure Filter parameters Adaptation Performance algorithm evaluation Basic Components of Adaptive filters: 1.Filtering structure; 2.Criterion of performance (COP); 3.Adaptive algorithm
9.2.1 Features of Adaptive Filters Basic Components of Adaptive filters: 1. Filtering structure; 2. Criterion of performance (COP); 3. Adaptive algorithm
9.2.1 Features of Adaptive Filters-Filtering structure Q&A for understanding“Filtering Structure'” Q1:What is the purpose of adaptive filter? Form the output using measurements of the input signals Q2:What is the structure for implementing an adaptive filter? (1)FIR filter using a direct/lattice structure; (2)Recursive filter using a cascade structure. Q3:What does the“adaptive”means? Although the structure of adaptive filter is fixed by the designer,its parameters can be dynamically adjusted by the "adaptive algorithm
Q&A for understanding “Filtering Structure” 9.2.1 Features of Adaptive Filters－ Filtering structure Q1: What is the purpose of adaptive filter? Form the output using measurements of the input signals Q2: What is the structure for implementing an adaptive filter? (1) FIR filter using a direct/lattice structure; (2) Recursive filter using a cascade structure. Q3: What does the “adaptive” means? Although the structure of adaptive filter is fixed by the designer, its parameters can be dynamically adjusted by the “adaptive algorithm
9.2.1 Features of Adaptive Filters -COP Q&A for understanding "COP" Q:What should be considered for choosing a proper COP? (1)The choice of the criterion is a balanced compromise between what is acceptable to the user of the application and what is mathematically tractable; (2)In other words,the COP can be manipulated to derive an adaptive algorithm; (3)Most adaptive filters use a certain average form of the square error
Q: What should be considered for choosing a proper COP? (1) The choice of the criterion is a balanced compromise between what is acceptable to the user of the application and what is mathematically tractable; (2)In other words, the COP can be manipulated to derive an adaptive algorithm; (3)Most adaptive filters use a certain average form of the square error. 9.2.1 Features of Adaptive Filters － COP Q&A for understanding “COP