The Fast Affine Projection Algorithm

This paper discusses a new adaptive filtering algorithm called fast affine projections (FAP). FAP\u27\u27s key features include LMS like complexity and memory requirements (low), and RLS like convergence (fast) for the important case where the excitation signal is speech. Another of FAP\u27\u27s important features is that it causes no delay in the input or output signals. In addition, the algorithm is easily regularized resulting in robust performance even for highly colored excitation signals. The combination of these features make FAP an excellent candidate for the adaptive filter in the acoustic echo cancellation problem. A simple, low complexity numerical stabilization method for the algorithm is also introduced

RLS Adaptive Filtering Algorithms Based on Parallel Computations

The paper presents a family of the sliding window RLS adaptive filtering algorithms with the regularization of adaptive filter correlation matrix. The algorithms are developed in forms, fitted to the implementation by means of parallel computations. The family includes RLS and fast RLS algorithms based on generalized matrix inversion lemma, fast RLS algorithms based on square root free inverse QR decomposition and linearly constrained RLS algorithms. The considered algorithms are mathematically identical to the appropriate algorithms with sequential computations. The computation procedures of the developed algorithms are presented. The results of the algorithm simulation are presented as well

QR Decomposition For Adaptive Filtering Application

This thesis is designed to investigate adaptive filtering problem based on QR decomposition techniques. An adaptive filter is a self modifying digital filter that adjusts its parameters in order to minimize a defined error function. Adaptive algorithm is applied to adapt the coefficient of the used filter to nonstationary process in which the coefficient of the adaptive filter is adapted in order to minimize the error function. Adaptive filtering problem is an adaptive form of least squares problem

Adaptive estimation and equalisation of the high frequency communications channel

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