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Avtomat. i Telemekh., 2018, Issue 8, Pages 111–128 (Mi at15124)  

Intellectual Control Systems, Data Analysis

Meixner nonorthogonal filters

I. M. Kulikovskikh

Korolev National Research University, Samara, Russia

Abstract: Consideration was given to a new representation of the Meixner filters which, in distinction to the previously proposed filters, have a rational form of representation of any integer values of the additional parameter $\alpha$, can be used to describe the dynamic systems with fractional order for the noninteger $\alpha$, and are obtained directly from the continuous generalized Laguerre filters through a modified bilinear transformation. The paper described a design of the proposed nonorthogonal Meixner filter, numerically stable algorithm to optimize the filter parameters, as well as the results of computer experiments corroborating efficiency of the nonorthogonal Meixner filters for solution of practical problems.

Keywords: Meixner filter, optimization of the filter poles, bilinear transformation, delay system.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation -6218.2018.9
074-U01
Russian Foundation for Basic Research 18-37-00219
This work was supported by the grant of President of Russian Federation, no. MK-6218.2018.9, and the Ministry of Education and Science of the Russian Federation, project no. 074-U01, and the Russian Foundation for Basic Research, project no. 18-37-00219.


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English version:
Automation and Remote Control, 2018, 79:8, 1458–1473

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Presented by the member of Editorial Board: . . 

Received: 21.04.2016

Citation: I. M. Kulikovskikh, “Meixner nonorthogonal filters”, Avtomat. i Telemekh., 2018, no. 8, 111–128; Autom. Remote Control, 79:8 (2018), 1458–1473

Citation in format AMSBIB
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