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Novel Cosine Time Functions for Triple Band Filtering Applications

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Abstract

In this paper, we present novel finite two-term cosine time functions, whose frequency responses exhibit triple pass bands, and these bands have the narrowest possible null-to-null lobe width (\(\pm 1/T\), where T is the duration of the time function), equal to that of a rectangular window. More importantly, these functions provide much higher decay of sidelobes (18 dB/octave) than that is obtainable (6 dB/octave) from the rectangular window. Therefore these functions can be used for designing triple band surface-acoustic-wave (SAW) filters, or for synthesizing the finite-impulse-response filters requiring triple bands. As an example, a triple band SAW filter centered at 25 MHz is designed employing two interdigital transducer structures. The modeling of the electrode-overlap pattern as a sampled data structure is explained, and the simulated frequency plot of the triple band SAW filter is shown.

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Acknowledgements

The author thanks the administration of PES University for supporting this work. The valuable comments from the anonymous reviewers improved the manuscript considerably.

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  1. Department of Electronics and Communication Engineering, PES University, 100 Feet Ring Road, BSK III Stage, Bengaluru, 560085, Karnataka, India

    Raghavendra G. Kulkarni

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  1. Raghavendra G. Kulkarni
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Correspondence to Raghavendra G. Kulkarni.

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Kulkarni, R.G. Novel Cosine Time Functions for Triple Band Filtering Applications. Circuits Syst Signal Process 41, 6484–6492 (2022). https://doi.org/10.1007/s00034-022-02104-5

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  • DOI: https://doi.org/10.1007/s00034-022-02104-5

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