## Application of supergeneralized matched filters to target classification

Applied Optics, Vol. 44, Issue 1, pp. 47-54 (2005)

http://dx.doi.org/10.1364/AO.44.000047

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### Abstract

The matched filter (MF) is the optimum linear operator for distinguishing between a fixed signal and noise, given the noise statistics. A generalized matched filter (GMF) is a linear filter that can handle the more difficult problem of a multiple-example signal set, and it reduces to a MF when the signal set has only one member. A supergeneralized matched filter (SGMF) is a set of GMFs and a procedure to combine their results nonlinearly to handle the multisignal problem even better. Obviously the SGMF contains the GMF as a special case. An algorithm for training SGMFs is presented, and it is shown that the algorithm performs quite well even for extremely difficult classification problems.

© 2005 Optical Society of America

**OCIS Codes**

(070.2580) Fourier optics and signal processing : Paraxial wave optics

(070.2590) Fourier optics and signal processing : ABCD transforms

(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing

(100.5010) Image processing : Pattern recognition

(150.0150) Machine vision : Machine vision

**Citation**

Kaveh Heidary and H. John Caulfield, "Application of supergeneralized matched filters to target
classification," Appl. Opt. **44**, 47-54 (2005)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-1-47

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### References

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