Affine-Projection-Like Adaptive-Filtering Algorithms Using Gradient-Based Step Size
Title | Affine-Projection-Like Adaptive-Filtering Algorithms Using Gradient-Based Step Size |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Bhotto, M.Z.A., Antoniou, A. |
Journal | Circuits and Systems I: Regular Papers, IEEE Transactions on |
Volume | 61 |
Pagination | 2048-2056 |
Date Published | July |
ISSN | 1549-8328 |
Keywords | a posteriori error vector, acoustic-echo-cancelation applications, adaptive filters, adaptive-filtering algorithms, affine-projection algorithms, affine-projection-like adaptive-filtering algorithms, Algorithm design and analysis, channel-equalization, computational complexity, convergence, gradient methods, gradient-based step size, input signal matrix, Least squares approximations, Matrix decomposition, mean square error methods, mean-square error in adaptive filtering, mean-square-error analysis, Steady-state, steady-state misalignment, system-identification, Vectors |
Abstract | A new class of affine-projection-like (APL) adaptive-filtering algorithms is proposed. The new algorithms are obtained by eliminating the constraint of forcing the a posteriori error vector to zero in the affine-projection algorithm proposed by Ozeki and Umeda. In this way, direct or indirect inversion of the input signal matrix is not required and, consequently, the amount of computation required per iteration can be reduced. In addition, as demonstrated by extensive simulation results, the proposed algorithms offer reduced steady-state misalignment in system-identification, channel-equalization, and acoustic-echo-cancelation applications. A mean-square-error analysis of the proposed APL algorithms is also carried out and its accuracy is verified by using simulation results in a system-identification application. |
URL | http://ieeexplore.ieee.org/document/6747407/ |
DOI | 10.1109/TCSI.2014.2304665 |
Citation Key | 6747407 |
- gradient-based step size
- Vectors
- system-identification
- steady-state misalignment
- Steady-state
- mean-square-error analysis
- mean-square error in adaptive filtering
- mean square error methods
- Matrix decomposition
- Least squares approximations
- input signal matrix
- a posteriori error vector
- gradient methods
- convergence
- computational complexity
- channel-equalization
- Algorithm design and analysis
- affine-projection-like adaptive-filtering algorithms
- affine-projection algorithms
- adaptive-filtering algorithms
- adaptive filters
- acoustic-echo-cancelation applications