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Orthogonal Ramanujan Sums-based Multirate Filter Bank

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Abstract

In this paper, we propose a multirate filter bank, based on Orthogonal Ramanujan Sums (ORS). Dyadic decomposition of signal may not suit always, due to variation in energy distribution in different bands. In a number of applications, for optimum processing, it is required that the given signal is decomposed in non-dyadic bands. Here, we propose a more general ORS-based multirate filter bank which is well suited when decomposition is required at any level q, where \(1 \le q \le n\). ORS-based filter bank provides greater flexibility by providing different possibilities for decomposition at each stage. Suitable examples have also been given to support the proposed idea.

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Authors and Affiliations

  1. SAG, DRDO, New Delhi, Delhi, India

    Devendra Kumar Yadav

  2. Department of EE, IIT Delhi, New Delhi, India

    S D Joshi

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  1. Devendra Kumar Yadav
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  2. S D Joshi
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Correspondence to Devendra Kumar Yadav.

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Yadav, D.K., Joshi, S.D. Orthogonal Ramanujan Sums-based Multirate Filter Bank. Circuits Syst Signal Process 40, 5813–5823 (2021). https://doi.org/10.1007/s00034-021-01797-4

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  • DOI: https://doi.org/10.1007/s00034-021-01797-4

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