Javed, Shazia and Ahmad, Noor Atinah
(2014)
A Stochastic Total Least Squares Solution of Adaptive Filtering Problem.
Scientific World Journal, 2014 (625280).
pp. 1-6.
ISSN 2356-6140
Abstract
An efficient and computationally linear algorithm is derived for total least squares solution of adaptive filtering problem, when
both input and output signals are contaminated by noise. The proposed total least mean squares (TLMS) algorithm is designed by
recursively computing an optimal solution of adaptive TLS problem by minimizing instantaneous value of weighted cost function.
Convergence analysis of the algorithm is given to show the global convergence of the proposed algorithm, provided that the
stepsize parameter is appropriately chosen. The TLMS algorithm is computationally simpler than the other TLS algorithms and
demonstrates a better performance as compared with the least mean square (LMS) and normalized least mean square (NLMS)
algorithms. It provides minimum mean square deviation by exhibiting better convergence in misalignment for unknown system
identification under noisy inputs.
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