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| Title | Variable weight mixed-norm LMS-LMF adaptive algorithm |
| Publication Type | Conference Paper |
| Year of Publication | 1999 |
| Authors | Aboulnasr, T., and A. Zerguine |
| Conference Name | Signals, Systems, and Computers, 1999. Conference Record of the 33rd Asilomar Conference on |
| Pagination | 791 -794 vol.1 |
| Keywords | adaptive filter, adaptive filters, adaptive signal processing, convergence, convergence of numerical methods, filtering theory, least mean fourth algorithm, least mean square algorithm, least mean squares methods, LMF cost function, LMS cost function, LMS-LMF adaptive algorithm, minimisation, objective function minimisation, step size bounds, time varying mixed-norm algorithm, time-varying filters, weighting factor |
| Abstract | In this paper, we propose a new mixed norm LMS-LMF adaptive algorithm. The algorithm minimizes an objective function defined as a weighted sum of the least mean fourth (LMF) and least mean square (LMS) cost functions. The weighting factor is time varying and adapts itself so as to emphasize one cost function over the other based on proximity to the optimum. Improved convergence is illustrated by examples. Bounds on the step size to ensure mean convergence are also derived |
| URL | http://dx.doi.org/10.1109/ACSSC.1999.832437 |
| DOI | 10.1109/ACSSC.1999.832437 |