Histogram Equalisation as a Method for Making an Objective Comparison Between Antenna Patterns Functions

Authors: S.F. Gregson, J. McCormick, C.G. Parini

Attempts to produce robust, objective, quantitative measures of comparison between data sets using statistical methods have been widely reported in the literature. Recently, techniques have been developed that require the antenna pattern functions to be converted into histograms before the comparison, i.e. the measure of adjacency, is made.

The success of such a tactic can be crucially dependent upon the choice of categorising “bins”. As the number, level, and size of these bins can be chosen both a priori and freely, it is possible that the resulting histograms will be sparsely populated with the majority of the samples falling within only a few of the categories. This difficulty can be avoided if the bins are defined in such a way that roughly equal numbers of samples fall within each of the categorising bin.

This paper describes an efficient method for “equalising” any histogram and illustrates the effectiveness of this strategy with example, measured data.

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Copyright 2007 IET. Reprinted from the second European Conference on Antenna and Propagation (EuCAP) 11-16 November 2007.

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