Filtering error estimates and order of accuracy via the Peano Kernel Theorem |
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Authors: | Jerome BlairAuthor Vitae |
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Affiliation: | National Security Technologies, LLC, P.O. Box 98521, M/S NLV071, Las Vegas, NV 89193-8521, United States |
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Abstract: | The Peano Kernel Theorem is introduced and a frequency domain derivation is given. It is demonstrated that the application of this theorem yields simple and accurate formulas for estimating the error introduced into a signal by filtering it to reduce noise. The concept of the order of accuracy of a filter is introduced and used as an organizing principle to compare the accuracy of different filters. |
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Keywords: | Peano Kernel Theorem Filtering Error Order of Accuracy Equivalent Nise Bandwidth |
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