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Synthesis of digital low-frequency phase devices with equel deviations approach of the time group delay to the given type

Keywords:

A.V. Ananev – Ph.D. (Eng.), Doctoral Candidate, Military Air Academy Named After Professor N.E. Zhukovsky and Yu.A. Gagarin (Voronezh). E-mail: sasha303_75@mail.ru


The designed method of synthesis based on the modified Remez algorithm, a special type of a TF and built-in units of synthesis of structures of packet MATLAB, allows to reduce to engineering decision digital LF DDL with IIR having N+3 deviations from zero point EF on the approximating interval. Changeover of linearly-decreasing law GD allows to disseminate a designed method to the arbitrary physical implementable laws GD. In relation to the known solutions gained earlier for reproduction to an oblique amplitude-frequency characteristic, in the case under consideration the domain of existence of receivable solutions significantly is less that bears to complication of application of a designed method, including, in the adaptive systems with usage numeral DDL with IIR. However detection on its base of subset A of arguments of TF at which one it is existed N+3 deviations from zero point EF on the approximating interval is necessary for steady synthesis GD of LF phase devices. The existence of a solution of the task acknowledged repeated in research work approximation with N+3 equal deviation from zero point of EF for digital LF DDL with IIR bears to existence of some domain of existence A-rational approximation with equal deviation for a various type of rationalized approximating functions.
References:

 

  1. Ananev A.V. Sintez nizkochastotnykh ustrojjstv s ubyvajushhejj amplitudno-chastotnojj kharakteristikojj s N+3 ravnymi otklonenijami ot linejjnogo zakona na intervale approksimacii // Telekommunikacii. 2015. № 5. S. 5–12.
  2. Ananev A.V., Zmijj B.F. Sintez peredatochnykh funkcijj fazovykh ustrojjstv obrabotki LCHM-signala dlja razlichnykh koehfficientov perekrytija po chastote // Telekommunikacii. 2011. № 9. S. 2–7.
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  4. Ananev A.V. Realizacija chislennykh metodov CHebyshevskogo priblizhenija v srede Mathcad // Materialy dokl. XIV Mezhdunar. nauch.-metodich. konf. «Informatika: problemy, metodologija, tekhnologii». Voronezhskijj gosudarstvennyjj universitet. 2014. T. 1. S. 43–46.
  5. Zmijj B.F.Sintez linejjnykh ustrojjstv obrabotki signalov na aktivnykh chetyrekhpoljusnikakh vysshikh porjadkov. Voronezh: VAIU. 2008.

 

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