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The general formulation for a set of adaptive order statistics filters is based on the local characteristics obtained from local test statistics. The local characteristics are obtained from output estimators which define the general features of the filter when they are combined linearly.

Edge preserving signals are enhanced by the application of different types of robust filtering procedures. Evaluation of output average and variance in the edges of the primary signal enables the gauging of the edge performance of these filters using statistical simulations when analytical techniques are intractable. However, the edge response of a filter is specifically analyzed by the application of approximate asymptotic methods.