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Design of Linear-Phase FIR Filters with Time and Frequency Domains Constraints by Means of AI Based Method

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Man-Machine Interactions 3

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 242))

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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© 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

  • eBook Packages: EngineeringEngineering (R0)

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