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The Design of Linear-Phase FIR Multiple-Notch Filters with Variable Notch Frequencies

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Abstract

In this paper, a paradigm is developed to design the linear-phase FIR multiple-notch filters with variable notch frequencies. The design procedure can be proceeded through two steps: First, a linear-phase narrow-band low-pass filter met the given bandwidth and stopband ripple specifications is designed. Second, a tuning procedure is applied to the computed low-pass filter to yield the desired multiple-notch filter. When the notch frequencies are varied, the same tuning procedure can be employed to render the multiple-notch filter with the new set of the notch frequencies. The tuning procedure employed reduces the computational complexity of designing the multiple-notch filter with the new set of the notch frequencies. The simulation results demonstrate the effectiveness of our scheme.

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Acknowledgments

This work is supported by the Nature Science Foundation of Tianjin under Grant 14JCYBJC16100.

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Wei Xu

  2. College of Electronic Information and Optical Engineering, Nankai University, Tianjin, 300071, China

    Jiaxiang Zhao

  3. College of Information Technical Science, Nankai University, Tianjin, 300071, China

    Hongjie Wang

Authors
  1. Wei Xu
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  2. Jiaxiang Zhao
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  3. Hongjie Wang
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Correspondence to Jiaxiang Zhao.

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Xu, W., Zhao, J. & Wang, H. The Design of Linear-Phase FIR Multiple-Notch Filters with Variable Notch Frequencies. Circuits Syst Signal Process 35, 1199–1211 (2016). https://doi.org/10.1007/s00034-015-0113-6

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  • DOI: https://doi.org/10.1007/s00034-015-0113-6

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