Gary L. Wise

A theoretical analysis of the properties of median filters

Necessary and sufficient conditions for a signal to be invariant under a specific form of median filtering are derived. These conditions state that a signal must be locally monotone to pass through a median filter unchanged. It is proven that the form of successive median filtering of a signal (i.e., the filtered output is itself again filtered) eventually reduces the original signal to an invariant signal called a root signal. For a signal of length L samples, a maximum of \frac{1}{2}(L - 2) repeated filterings produces a root signal.

Detection of Abnormal Behavior Via Nonparametric Estimation of the Support

In this paper two problems are considered, both involving the nonparametric estimation of the support of a random vector from a sequence of independent identically distributed observations. In the first problem, after observing n independent random vectors with a common unknown distribution

Detection in Laplace Noise

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A generalized block truncation coding algorithm for image compression

, we are given one new measurement and we wish to know whether or not it belongs to the support of

Convergence of Vector Quantizers with Applications to Optimal Quantization

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On the existence of optimal quantizers (Corresp.)

. In the second problem, after observing the n independent random vectors with a common unknown distribution

Some aspects of fusion in estimation theory

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Robust detection in nominally Laplace noise

, we then observe n additional independent random vectors with a common unknown distribution

Asymptotic memoryless discrete-time detection of phi -mixing signals in phi -mixing noise (Corresp.)

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A note on a common misconception in estimation

. In this case we wish to know whether or not the support of