Title

A Fast Block Fir Adaptive Digital Filtering Algorithm With Individual Adaptation Of Parameters

Abstract

A general formulation for developing a fast block-LMS adaptive algorithm is presented. In this algorithm, a convergence factor is obtained that is tailored for each adaptive filter coefficient and is updated at each block iteration. These convergence factors are chosen to minimize the mean squared error in the processed block and are easily computed from readily available signals. The algorithm is called the optimum Mock adaptive algorithm with individual adaptation of parameters (OBAI). It is shown that the new coefficient vector obtained from the OBAI algorithm is an estimate of the Wiener solution at each iteration. Implementation aspects of OBAI are examined and a technique is presented that eliminates matrix inversion by processing signals in overlapping blocks and applying the matrix inversion lemma. When the coefficients are updated once per input data sample, the resulting OBAI algorithm requires IN2 - 5N + 9 MAD (multiplications and divisions) per iteration, where N is the number of estimated parameters. The convergence properties of OBAI are investigated and compared with several recently proposed algorithms. In a wide range of computer simulation comparisons, OBAI compared favorably with respect to convergence speed and accuracy, particularly when adapting to time-varying systems with band-limited input signals. This improvement is achieved at the expense of an increase in the number of computations per data sample. © 1989 IEEE

Publication Date

1-1-1989

Publication Title

IEEE Transactions on Circuits and Systems

Volume

36

Issue

1

Number of Pages

1-10

Document Type

Article

Identifier

scopus

DOI Link

https://doi.org/10.1109/31.16558

Socpus ID

0024479113 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0024479113

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