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However, the design of the Wiener filter takes a different approach. Typical deterministic filters are designed for a desired frequency response. The Wiener filter is based on a statistical approach, and a more statistical account of the theory is given in the minimum mean square error (MMSE) estimator article. The Wiener filter can be used to filter out the noise from the corrupted signal to provide an estimate of the underlying signal of interest. For example, the known signal might consist of an unknown signal of interest that has been corrupted by additive noise. The goal of the Wiener filter is to compute a statistical estimate of an unknown signal using a related signal as an input and filtering that known signal to produce the estimate as an output.
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