Skip to main content
Log in

Optical Fractional Derivative Matched Correlator

  • INFORMATION OPTICS
  • Published:
Optical Review Aims and scope Submit manuscript

Abstract

We suggest a new optical matched correlator which combines the fractional derivative with the conventional correlation for application to space shift-invariant pattern recognition. This new correlator possesses the favorable feature of being able to enhance the discrimination capability and anti-interference to noise ability over that of the conventional matched spatial filter. Varying the fractional order enables one to trade off between the light efficiency and the discrimination ability of the correlator.

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.

References

  1. A. Vander Lugt: IEEE Tran. Inf. Theory IT-10 (1964) 139.

    Article  Google Scholar 

  2. C. S. Weaver and J. W. Goodman: Appl. Opt. 5 (1966) 1248.

    Google Scholar 

  3. K. B. Oldham and J. Spanier: The Fractional Calculus (Academic Press, Orlando. Fla, 1974).

    Google Scholar 

  4. M. W. Michalski: Diss. Math. 328 (1993) 3.

    Google Scholar 

  5. B. A. Harwitz: Appl. Opt. 17 (1978) 181.

    Google Scholar 

  6. J. Lancis, T. Szoplik, E. Tajahuerce, V. Climent and M. Fern#x00E1;ndez-Alonse: Appl. Opt. 36 (1997) 7461.

    Google Scholar 

  7. J. L. Horner and P. D. Gianino: Appl. Opt. 23 (1984) 812.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yan Zhang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Y., Gu, BY. & Tanno, N. Optical Fractional Derivative Matched Correlator. OPT REV 8, 318–322 (2001). https://doi.org/10.1007/s10043-001-0318-8

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10043-001-0318-8

Key words

Navigation