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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 20 — Jul. 10, 2006
  • pp: 4850–4857

Wavelet-modified maximum average correlation height filter for rotation invariance that uses chirp encoding in a hybrid digital–optical correlator

Shilpi Goyal, Naveen K. Nishchal, Vinod K. Beri, and Arun K. Gupta  »View Author Affiliations

Applied Optics, Vol. 45, Issue 20, pp. 4850-4857 (2006)

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We discuss and implement a wavelet-modified maximum average correlation height (MACH) filter for 0 ° 360 ° in-plane rotations in a hybrid digital–optical correlator. Use of a wavelet transform improves the performance of the MACH filter by reducing the number of filters that are required to identify a target rotated at any angle between 0 °   and   360 ° in-plane rotations and enhances the autocorrelation peak intensity significantly. The output of a hybrid digital–optical correlator contains two autocorrelation peaks and a strong dc. Using a chirp function with the wavelet-modified MACH filter, the correlation signals are focused in three different planes. Thus placing a peak-capturing CCD camera at a particular plane, only one autocorrelation peak is recorded, discarding the strong dc and other autocorrelation peaks. A signal-to-noise ratio has been calculated as a metric of goodness of the proposed wavelet-modified MACH filter.

© 2006 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(100.4550) Image processing : Correlators

Original Manuscript: November 2, 2005
Revised Manuscript: February 14, 2006
Manuscript Accepted: February 21, 2006

Shilpi Goyal, Naveen K. Nishchal, Vinod K. Beri, and Arun K. Gupta, "Wavelet-modified maximum average correlation height filter for rotation invariance that uses chirp encoding in a hybrid digital-optical correlator," Appl. Opt. 45, 4850-4857 (2006)

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