Explicit Formula for Predictive FIR Filters and Differentiators Using Hahn Orthogonal Polynomials(<Special Section>Papers Selected from the 21st Symposium on Signal Processing)
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概要
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An explicit expression for the impulse response coefficients of the predictive FIR digital filters is derived. The formula specifies a four-parameter family of smoothing FIR digital filters containing the Savitsky-Goaly filters, the Heinonen-Neuvo polynomial predictors, and the smoothing differentiators of arbitrary integer orders. The Hahn polynomials, which are orthogonal with respect to a discrete variable, are the main tool employed in the derivation of the formula. A recursive formula for the computation of the transfer function of the filters, which is the z-transform of a terminated sequence of polynomial ordinates, is also introduced. The formula can be used to design structures with low computational complexity for filters of any order.
- 社団法人電子情報通信学会の論文
- 2007-08-01
著者
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NISHIHARA Akinori
Center for Research and Development of Educational Technology, Tokyo Institute of Technology
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SAMADI Saed
Department of Electrical Engineering, K. N. T. University of Technology
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Samadi Saed
Department Of Electrical And Computer Engineering Concordia University
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Nishihara Akinori
Center For Research And Development Of Educational Technology Tokyo Institute Of Technology
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