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Adaptive Lattice Filter for Multiple Sinusoids in White Noise

Publication ,  Journal Article
Leib, H; Eizenman, M; Pasupathy, S; Krolik, J
Published in: IEEE Transactions on Acoustics, Speech, and Signal Processing
January 1, 1987

In this paper we present an analytical study of the lattice filter for an input time series consisting of multiple sinusoids in white noise. For this model, the method of undetermined coefficients is applied to derive the convergent solution. Further, expressions for the bias and misadjustment of the stochastic gradient (SG) lattice filter coefficients show that for inputs of moderate tonal-to-noise power ratios, the bias is negligible and the misadjustment is comparable to that of the LMS transversal filter. A heuristic approach to the derivation of the filter convergence time is presented. Copyright © 1987 by The Institute of Electrical and Electronics Engineers, Inc.

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Published In

IEEE Transactions on Acoustics, Speech, and Signal Processing

DOI

ISSN

0096-3518

Publication Date

January 1, 1987

Volume

35

Issue

7

Start / End Page

1015 / 1023
 

Citation

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Leib, H., Eizenman, M., Pasupathy, S., & Krolik, J. (1987). Adaptive Lattice Filter for Multiple Sinusoids in White Noise. IEEE Transactions on Acoustics, Speech, and Signal Processing, 35(7), 1015–1023. https://doi.org/10.1109/TASSP.1987.1165227
Leib, H., M. Eizenman, S. Pasupathy, and J. Krolik. “Adaptive Lattice Filter for Multiple Sinusoids in White Noise.” IEEE Transactions on Acoustics, Speech, and Signal Processing 35, no. 7 (January 1, 1987): 1015–23. https://doi.org/10.1109/TASSP.1987.1165227.
Leib H, Eizenman M, Pasupathy S, Krolik J. Adaptive Lattice Filter for Multiple Sinusoids in White Noise. IEEE Transactions on Acoustics, Speech, and Signal Processing. 1987 Jan 1;35(7):1015–23.
Leib, H., et al. “Adaptive Lattice Filter for Multiple Sinusoids in White Noise.” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 35, no. 7, Jan. 1987, pp. 1015–23. Scopus, doi:10.1109/TASSP.1987.1165227.
Leib H, Eizenman M, Pasupathy S, Krolik J. Adaptive Lattice Filter for Multiple Sinusoids in White Noise. IEEE Transactions on Acoustics, Speech, and Signal Processing. 1987 Jan 1;35(7):1015–1023.

Published In

IEEE Transactions on Acoustics, Speech, and Signal Processing

DOI

ISSN

0096-3518

Publication Date

January 1, 1987

Volume

35

Issue

7

Start / End Page

1015 / 1023