Title

Theoretical Framework For The Design Of Purely Real Synthetic-Discriminant-Function-Type Correlation Filters

Abstract

A general algorithm for synthesizing purely real correlation filters in the frequency domain is developed by using the method of Lagrange multipliers. This method can be applied to filters that are derived by using linearly constrained quadratic minimization. The synthesis of purely real versions of minimum average correlation energy filters, minimum-variance synthetic discriminant functions, and other synthetic-discriminant-function-type filters is discussed to illustrate this approach. Their performance is found to be somewhat less than that of the original complex filters but still adequate for practical applications. The main advantage of this approach is that optimum purely real filters can be generated that are easy to implement in spatial fight modulators without holograms and that yield the correlation output on the zero-order beam. © 1992 Optical Society of America.

Publication Date

1-1-1992

Publication Title

Applied Optics

Volume

31

Issue

35

Number of Pages

7450-7456

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/AO.31.007450

Socpus ID

84975608625 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84975608625

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