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On obtaining of a transfer function with complex‐conjugate poles of the same Q ‐factor by fourier approximation
Author(s) -
Filanovsky I. M.,
Stromsmoe K. A.
Publication year - 1979
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490070402
Subject(s) - fourier series , transfer function , complex conjugate , transformation (genetics) , mathematics , fourier transform , function (biology) , conjugate , inverse , mathematical analysis , series (stratigraphy) , closed loop pole , fourier analysis , computer science , geometry , engineering , paleontology , biochemistry , chemistry , electrical engineering , control (management) , evolutionary biology , artificial intelligence , biology , full state feedback , gene
This communication presents a method for obtaining a transfer function with multiple complex conjugate poles. The procedure is based on a special frequency transformation. The function derived from those to be approximated is expanded in a Fourier series with a finite number of terms. The application of the inverse transformation to this truncated series gives an algebraic ratio from which the transfer function with chosen poles can be obtained with known methods.