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Performance of CSE Techniques for Designing Multiplier-Less FIR Filter Using Evolutionary Algorithms

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Abstract

In this work, an efficient design of multiplier-less digital finite impulse response (FIR) filter is presented, where the sub-expression elimination (SE) algorithms are employed on filter coefficients, and optimization is done with evolutionary algorithms. This FIR filter is designed with novelty of optimizing the quantized coefficients inside each of the respective optimization algorithm, instead of using two separate algorithms: one for generation of optimal continuous coefficients, and second for optimizing the quantized coefficients. Comparative analysis using different SE techniques have been utilized for reducing the requirement of adders on both binary represented and canonic signed digit converted filter coefficients. The simulation results illustrate the impact of proposed algorithm along with significant reduction in number of adders.

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Acknowledgements

This work was supported in part by the Department of Science and Technology, Govt. of India, under the Grant No. SB/S3IEECE/0249/2016.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, PDPM-Indian Institute of Information Technology Design and Manufacturing, Jabalpur, 482005, India

    Ila Sharma, Anil Kumar & Deepak Kumar

  2. Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Girish Kumar Singh

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  1. Ila Sharma
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  2. Anil Kumar
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  3. Deepak Kumar
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  4. Girish Kumar Singh
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Correspondence to Ila Sharma.

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Sharma, I., Kumar, A., Kumar, D. et al. Performance of CSE Techniques for Designing Multiplier-Less FIR Filter Using Evolutionary Algorithms. Circuits Syst Signal Process 37, 2574–2590 (2018). https://doi.org/10.1007/s00034-017-0679-2

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  • DOI: https://doi.org/10.1007/s00034-017-0679-2

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