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The DST-O Method for Multiband IIR Filter

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Abstract

Nowadays, there is a trend to simultaneously integrate various applications in one communication system, in which multiband digital filter will play an important role in frequency selection. For digital signal processing, this paper proposes an advanced design method for the design of multiband IIR filter. This method is based on the concept of direct synthesis technique (DST) we proposed for analogue general Chebvshev filter, which is called the DST-O method here. According to specification requirement of the multiband IIR filter to be designed, main information such as transmission zeros and reflection zeros are determined by using the DST. Then, optimization is applied to achieve equal ripple in all passbands. Finally, the transfer function of the multiband IIR filter is obtained by applying the bilinear transformation on that of the analogue one. Such hybrid method fully combines the advantages of both analytical and optimal approaches, and is featured by flexibly controlling centre frequencies, bandwidths and passband ripples. Some multiband IIR filter examples are provided for demonstration.

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Data Availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Project No. 61671111).

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Authors and Affiliations

  1. School of Electronic Science and Engineering, University of Electronic Science and Technology of China (UESTC), Qingshuihe Campus, Chengdu, 611731, People’s Republic of China

    Rihan Wu, Xiaohong Tang, Junling He, Yu Cao, Likang Xiao & Fei Xiao

  2. Southwest Institute of Applied Magnetics, Mianyang, Sichuan, 621000, People’s Republic of China

    Likang Xiao

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  1. Rihan Wu
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  2. Xiaohong Tang
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  3. Junling He
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  4. Yu Cao
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  5. Likang Xiao
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Correspondence to Likang Xiao or Fei Xiao.

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Wu, R., Tang, X., He, J. et al. The DST-O Method for Multiband IIR Filter. Circuits Syst Signal Process 42, 431–448 (2023). https://doi.org/10.1007/s00034-022-02129-w

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  • DOI: https://doi.org/10.1007/s00034-022-02129-w

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