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Paley–Wiener criterion in linear canonical transform domains

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Abstract

The Paley–Wiener criterion involving the issue of the physical realizability of any linear time-invariant (LTI) system / filter is well known in the literature. This criterion gives us the frequency domain condition on the magnitude of the transfer function of the LTI system. In this letter, we extend this criterion to linear canonical transform domains.

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References

  1. Papoulis, A.: Signal Analysis. McGraw-Hill, New York (1977)

    MATH  Google Scholar 

  2. Lathi, B.P.: Modern Digital and Analog Communication Systems, 3rd edn. Oxford University Press, Oxford (1998)

    Google Scholar 

  3. Ozaktas, H.M., Zalevsky, Z., Kutay, M.A.: The Fractional Fourier Transform with Applications in Optics and Signal Processing. Wiley, Chichester (2001)

    Google Scholar 

  4. Almeida, L.B.: The fractional Fourier transform and time-frequency representations. In: IEEE Trans. Signal Proc. 42(11), 3084–3091 (1994)

  5. Ozaktas, H.M., Barshan, B.: Convolution, filtering, and multiplexing in fractional Fourier domains and their relationship to chirp and wavelet transforms. J. Opt. Soc. Am. A 11, 547–559 (1994)

    Article  MathSciNet  Google Scholar 

  6. Kutay, M.A., Ozaktas, H.M., Arikan, O., Onural, L.: Optimal filtering in fractional Fourier domains. In: IEEE Trans. Signal Proc. 45(5), 2141–2150 (1997)

  7. Barshan, B., Kutay, M.A., Ozaktas, H.M.: Optimal filtering with linear canonical transformations. Optics Commun. 135(1–3), 32–36 (1997)

    Article  Google Scholar 

  8. Oktem, F.S., Ozaktas, H.M.: Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space-bandwidth product. J. Opt. Soc. Am. A 27, 1885–1895 (2010)

    Google Scholar 

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Correspondence to K. K. Sharma.

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Sharma, K.K., Sharma, L. & Sharma, S. Paley–Wiener criterion in linear canonical transform domains. SIViP 9, 105–106 (2015). https://doi.org/10.1007/s11760-013-0427-4

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  • DOI: https://doi.org/10.1007/s11760-013-0427-4

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