Skip to main content
Log in

An Improved Product Theorem for Fractional Fourier Transform

  • Research Article
  • Published:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Aims and scope Submit manuscript

Abstract

The paper suggests a better product theorem for fractional Fourier transform (FrFt), which is more precise and relevant proposition than existing models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Almeida LB (1994) The fractional Fourier transform and time–frequency representation. IEEE Trans Signal Process 42:3084–3091

    Article  ADS  Google Scholar 

  2. Ozaktas HM, Zalevsky Z, Kutay MA (2001) The fractional Fourier transform: with applications in optics and signal processing. John Wiley, Chichester, pp 1–513

    Google Scholar 

  3. Almeida LB (1997) Product and convolution theorems for the fractional fourier transform. IEEE Signal Process Lett 4(1):15–17

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  5. Sontakke PK, Gudadhe AS (2009) Convolution and Rayleigh’s theorem for generalized fractional Hartley transform. Eur J Pure Appl Math 2(1):162–170

    MathSciNet  MATH  Google Scholar 

  6. Zayed AI (1998) A convolution and product theorem for the fractional Fourier transform. IEEE Signal Process Lett 5(4):101–103

    Article  MathSciNet  ADS  Google Scholar 

  7. Singh AK, Saxena R (2010) Development of convolution theorem in FRFT domain. International conference on signal processing and communications, Guna, 18–21 July 2010

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pooja Mohindru.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mohindru, P., Khanna, R. & Bhatia, S.S. An Improved Product Theorem for Fractional Fourier Transform. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 82, 343–345 (2012). https://doi.org/10.1007/s40010-012-0058-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40010-012-0058-0

Keywords

Navigation