Abstract
We consider a constrained finite-impulse response (FIR) filter design with time- and frequency-domain piece-wise linear constraints. This type of constrained FIR filter design usually employs the least-squares error criterion and can be generally reformulated as quadratic programming (QP) problem. This paper presents a new algorithm for the design of constrained low-pass FIR filters describing the design problem in terms of the epsilon-insensitive learning derived from AI methods. This approach is based on a dedicated new method for solution of an over-determined system of linear equations. This method tolerates very well the increase of the number of filter coefficients and/or the number of constraints. The proposed method is also characterized by rapid convergence and is suitable for high order filter design.
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References
Adams, J.W.: FIR digital filters with least-squares stopbands subject to peak-gain constraints. IEEE Transactions on Circuits and Systems 39(4), 376–388 (1991)
Grossmann, L.D., Eldar, Y.C.: An l1-method for the design of linear-phase fir digital filters. IEEE Transactions on Signal Processing 55(11), 5253–5266 (2007)
Leski, J., Henzel, N.: Generalized ordered linear regression with regularization. Bulletin of the Polish Academy of Science: Technical Sciences 60(3), 481–489 (2012)
Parks, T.W., Burrus, C.S.: Digital Filter Design. Wiley-Interscience, New York (1987)
Selesnick, I.W., Lang, M., Burrus, C.S.: Constrained least square design of fir filters without specified transition bands. IEEE Transactions on Signal Processing 44(8), 1879–1892 (1996)
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© 2014 Springer International Publishing Switzerland
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Henzel, N., Leski, J.M. (2014). Design of Linear-Phase FIR Filters with Time and Frequency Domains Constraints by Means of AI Based Method. In: Gruca, D., Czachórski, T., Kozielski, S. (eds) Man-Machine Interactions 3. Advances in Intelligent Systems and Computing, vol 242. Springer, Cham. https://doi.org/10.1007/978-3-319-02309-0_25
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DOI: https://doi.org/10.1007/978-3-319-02309-0_25
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02308-3
Online ISBN: 978-3-319-02309-0
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