Nonlinear transformation analysis of the misregistered trade-off heterocorrelation filter: part 2, using the phase-only filter

Jed Khoury; Peter D. Gianino; Charles L. Woods

doi:10.1117/1.1828091

1 January 2005 Nonlinear transformation analysis of the misregistered trade-off heterocorrelation filter: part 2, using the phase-only filter

Jed Khoury, Peter D. Gianino, Charles L. Woods

Author Affiliations +

Optical Engineering, Vol. 44, Issue 1, 017202 (January 2005). https://doi.org/10.1117/1.1828091

Abstract

We continue our study of the misregistered trade-off heterocorrelation filter (HCF), introduced in Part 1. Instead of using the matched filter, we use only the phases of the Fourier transforms of the functions constituting the filter, with our basic filter being the phase-only filter. We show that by adjusting the value of the trade-off factor it is possible to make the correlation pattern and intensities of the heterocorrelation peaks equal to those of the autocorrelation peaks; in effect, making the HCF a homogeneous filter. This means that it can equally recognize totally different objects that one designs it to recognize. These results (1) turn out to be independent of the amount of misregistration (i.e., shift) between the centers of the impulse responses of the functions making up the filter and (2) can also support the claim that a HCF is a totally new approach to generating synthetic discriminant filter functions. We also produce plots showing how the intensities, peak-to-noise ratios, and peak-to-secondary ratios of both autocorrelation and heterocorrelation peaks behave as a function of trade-off factor.

©(2005) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Jed Khoury, Peter D. Gianino, and Charles L. Woods "Nonlinear transformation analysis of the misregistered trade-off heterocorrelation filter: part 2, using the phase-only filter," Optical Engineering 44(1), 017202 (1 January 2005). https://doi.org/10.1117/1.1828091

Published: 1 January 2005

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