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An optimal algorithm to solve digital filtering problem with the use of adaptive smoothing

Abstract

A one-dimensional problem of digital filtering with the procedure of adaptive smoothing is considered. A time-optimal parallel-pipeline algorithm is proposed to solve this problem. The optimality in the class of algorithms equivalent with respect to information graph is proved.

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Correspondence to M. S. Yadzhak.

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Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2013, pp. 142–151.

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Yadzhak, M.S., Tyutyunnyk, M.I. An optimal algorithm to solve digital filtering problem with the use of adaptive smoothing. Cybern Syst Anal 49, 449–456 (2013). https://doi.org/10.1007/s10559-013-9528-x

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Keywords

  • optimal parallel-pipeline algorithm
  • digital filtering problem
  • adaptive smoothing
  • quasisystolic structure
  • structural-procedure organization of computations