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A new method to realize nonrational driving‐point functions
Author(s) -
Kumar Abhimanyu,
Ganguli Souvik
Publication year - 2020
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.2751
Subject(s) - mathematics , logarithm , operator (biology) , square root , inverse , tangent , function (biology) , point (geometry) , control theory (sociology) , mathematical analysis , computer science , biochemistry , chemistry , geometry , control (management) , repressor , evolutionary biology , artificial intelligence , biology , transcription factor , gene
Summary This paper presents a new synthesis procedure for nonrational driving‐point functions by defining and using the G operator. The operator is defined, and its properties are explored. Applying the Stieltjes transform on the G operator, the Padé approximant or the continued fraction form of the nonrational network function can be achieved with reduced computational complexity. Thus, the classical Foster and Cauer form or other techniques may be applied to synthesize network functions. The application of this work is demonstrated by considering certain functions such as the square root, inverse tangent, logarithm, and Lambert's W function. A set of conditions called synthesis criteria is proposed, which should be satisfied by a nonrational function to be realizable.