High Precision LC Ladder Synthesis Part I: Lowpass Ladder Synthesis via Parametric Approach
Yarman, Bekir Sıddık Binboğa
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In this paper, a novel, high precision lowpass LC ladder synthesis algorithm is presented. The new algorithm directly works on the driving point input immitance function which describes the lowpass LC ladder in resistive termination. The crux of the idea is that, at each step of the proposed method, a simple pole at infinity is removed then, the remaining immitance function is corrected using the parametric method. Parametric method warrants the exact lowpass LC ladder nature of the remaining immitance function. Thus, at the end of the synthesis process, a lowpass LC ladder is obtained with high numerical precision. Examples are presented to exhibit the implementation of the synthesis algorithm. A randomly generated driving point input immitance is synthesized with 19 elements yielding a relative error less than 10(-6). Furthermore, numerical robustness of the novel synthesis method is tested. Based on the tests, we can confidently state that, proposed synthesis algorithm can safely extract more than 40 elements from the original immitance function with a relative error less than 10(-2). Newly developed synthesis algorithm is coded on MatLab environment and it is successfully combined with the "Real Frequency-Direct Computational Technique" to construct practical impedance matching networks.
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High Precision LC Ladder Synthesis Part II: Immittance Synthesis With Transmission Zeros at DC and Infinity Yarman, Bekir Sıddık Binboğa; Kılınç, Ali (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2013-10)In this paper, a novel, high precision bandpass LC ladder synthesis algorithm is presented. The new algorithm directly works on the rational form of a positive real driving point input immittance F(p) = a(p)/b(p) which ...
Yarman, Bekir Sıddık Binboğa; Köprü, Ramazan; Kumar, Narendra G.; Prakash, Chacko (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2014-04)A Richards immitance is a positive real function expressed in terms of the Richards variable lambda = tanh(pT) = Sigma + j Omega where p = sigma + j omega is the classical complex frequency. A Richards immittance can be ...
Aksen, Ahmet; Yarman, Bekir Sıddık Binboǧa; Köprü, Ramazan; Aydın, Çaǧatay; Atilla, Çağdaş (Institute of Electrical and Electronics Engineers Inc., 2016-08-02)In this work, we introduce a high precision synthesis algorithm to include the extraction of finite frequency and right half plane (RHP) transmission zeros of an impedance function as Brune/Darlington Type-C sections. After ...