Vega, Leonardo Rey.
A Rapid Introduction to Adaptive Filtering [electronic resource] / by Leonardo Rey Vega, Hernan Rey. - XII, 122 p. 23 illus. online resource. - SpringerBriefs in Electrical and Computer Engineering, 2191-8112 . - SpringerBriefs in Electrical and Computer Engineering, .
Wiener Filtering and examples -- Steepest descent procedure -- Stochastic gradient adaptive filtering: LMS (Least Mean Squares), NLMS (Normalized Mean Squares) -- Sign-error algorithm, APA (Affine Projection Algorithms) -- Convergence results -- Applications -- LS (Least Squares) and RLS (Recursive Least Squares) -- Computational complexity and fast implementations -- Applications.
In this book, the authors provide insights into the basics of adaptive filtering, which are particularly useful for students taking their first steps into this field. They start by studying the problem of minimum mean-square-error filtering, i.e., Wiener filtering. Then, they analyze iterative methods for solving the optimization problem, e.g., the Method of Steepest Descent. By proposing stochastic approximations, several basic adaptive algorithms are derived, including Least Mean Squares (LMS), Normalized Least Mean Squares (NLMS) and Sign-error algorithms. The authors provide a general framework to study the stability and steady-state performance of these algorithms. The affine Projection Algorithm (APA) which provides faster convergence at the expense of computational complexity (although fast implementations can be used) is also presented. In addition, the Least Squares (LS) method and its recursive version (RLS), including fast implementations are discussed. The book closes with the discussion of several topics of interest in the adaptive filtering field.
9783642302992
10.1007/978-3-642-30299-2 doi
Engineering.
Artificial intelligence.
Computational intelligence.
Engineering.
Signal, Image and Speech Processing.
Artificial Intelligence (incl. Robotics).
Computational Intelligence.
TK5102.9 TA1637-1638 TK7882.S65
621.382
A Rapid Introduction to Adaptive Filtering [electronic resource] / by Leonardo Rey Vega, Hernan Rey. - XII, 122 p. 23 illus. online resource. - SpringerBriefs in Electrical and Computer Engineering, 2191-8112 . - SpringerBriefs in Electrical and Computer Engineering, .
Wiener Filtering and examples -- Steepest descent procedure -- Stochastic gradient adaptive filtering: LMS (Least Mean Squares), NLMS (Normalized Mean Squares) -- Sign-error algorithm, APA (Affine Projection Algorithms) -- Convergence results -- Applications -- LS (Least Squares) and RLS (Recursive Least Squares) -- Computational complexity and fast implementations -- Applications.
In this book, the authors provide insights into the basics of adaptive filtering, which are particularly useful for students taking their first steps into this field. They start by studying the problem of minimum mean-square-error filtering, i.e., Wiener filtering. Then, they analyze iterative methods for solving the optimization problem, e.g., the Method of Steepest Descent. By proposing stochastic approximations, several basic adaptive algorithms are derived, including Least Mean Squares (LMS), Normalized Least Mean Squares (NLMS) and Sign-error algorithms. The authors provide a general framework to study the stability and steady-state performance of these algorithms. The affine Projection Algorithm (APA) which provides faster convergence at the expense of computational complexity (although fast implementations can be used) is also presented. In addition, the Least Squares (LS) method and its recursive version (RLS), including fast implementations are discussed. The book closes with the discussion of several topics of interest in the adaptive filtering field.
9783642302992
10.1007/978-3-642-30299-2 doi
Engineering.
Artificial intelligence.
Computational intelligence.
Engineering.
Signal, Image and Speech Processing.
Artificial Intelligence (incl. Robotics).
Computational Intelligence.
TK5102.9 TA1637-1638 TK7882.S65
621.382