RECURSIVE GAUSSIAN FILTERS

Dariusz Janecki, Stanislaw Adamczak

Abstract

The paper discuss the general methodology for the design of recursive digital filters with phase correction. The method for the approximation of the Gaussian characteristic presented below ensures the smallest possible error for a given filter order. It has been shown that by selecting appropriate initial values of the filter we can eliminate the so-called edge effect and evaluate the whole profile being registered. To describe the filter transfer function, the discrete incremental difference operator (delta operator) is applied in place of the usual shift operator z. This increases the accuracy of representation of filter parameters and decreases the number rounding errors.

Keywords

Gaussian filters, recursive filters, edge effect

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PWC-2003-TC14-010.pdf

DOI

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IMEKO TC

TC14 - Measurement of Geometrical Quantities

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