Driving Point Impedance and Signal Flow Graph Basics: A Systematic Approach to Circuit Analysis

Ochoa, A.

doi:10.1007/978-3-319-26252-9_2

Cited by 7 publications

(9 citation statements)

References 3 publications

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“…is analytic in E, p(z) < 1 for z < 1, p(0) = 0 and p( − 1) = 1 for c = − 1 ∈ ∂E. So, from (2), we obtain an estimate (see (7)) . Since…”

mentioning

confidence: 91%

“…Driving point impedance (DPI) functions are positive real functions (PRFs) which depend on the complex frequency parameter, s. A DPI function is physically realisable if it satisfies the properties of PRFs which are given below [1] The aim of this study is to perform a boundary analysis of the derivatives of PRFs. In electrical engineering, the derivatives of the DPI functions are mainly used in network synthesis [2][3][4], in control systems [5], signal processing [6,7] and microwave engineering [8,9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On boundary analysis for derivative of driving point impedance functions and its circuit applications

Örnek

Düzenli̇

2018

IET Circuits, Devices & Systems

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In this study, a boundary analysis is carried out for the derivative of driving point impedance (DPI) functions, which is mainly used for the synthesis of networks containing resistor-inductor, resistor-capacitor and resistor-inductor-capacitor circuits. It is known that DPI function, Z(s), is an analytic function defined on the right half of the s-plane. In this study, the authors present four theorems using the modulus of the derivative of DPI function, |Z′(0)|, by assuming the Z(s) function is also analytic at the boundary point s = 0 on the imaginary axis and finally, the sharpness of the inequalities obtained in the presented theorems are proved. It is also shown that simple inductor-capacitor tank circuits and higher-order filters are synthesised using the unique DPI functions obtained in each theorem.

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“…is analytic in E, p(z) < 1 for z < 1, p(0) = 0 and p( − 1) = 1 for c = − 1 ∈ ∂E. So, from (2), we obtain an estimate (see (7)) . Since…”

mentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

On boundary analysis for derivative of driving point impedance functions and its circuit applications

Örnek

Düzenli̇

2018

IET Circuits, Devices & Systems

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“…The aim of this study is to perform boundary analysis of derivative of PRFs. Derivative of PRFs are mainly used in network synthesis, [4][5][6][7] in control systems 8,9 and control theory, 10 signal processing, 11,12 and in microwave engineering. 13,14 As an exemplary application, Hazony has used the derivative of PRF to design a gyrator.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of this study is to perform boundary analysis of derivative of PRFs. Derivative of PRFs are mainly used in network synthesis, in control systems and control theory, signal processing, and in microwave engineering …”

Section: Introductionmentioning

confidence: 99%

Schwarz lemma for driving point impedance functions and its circuit applications

Örnek

Düzenli̇

2019

Circuit Theory & Apps

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Summary In this paper, a boundary version of the Schwarz lemma is investigated for driving point impedance functions and its circuit applications. It is known that driving point impedance function, Z(s) = 1 + cp(s − 1)p + cp + 1(s − 1)p + 1 + ..., p > 1, is an analytic function defined on the right half of the s‐plane. Two theorems are presented using the modulus of the derivative of driving point impedance function, |Z′(0)|, by assuming the Z(s) function is also analytic at the boundary point s = 0 on the imaginary axis with Z()0=0. In the obtained inequalities, the value of the function at s = 1 and the derivatives with different orders have been used. Finally, the sharpness of the inequalities obtained in the presented theorems is proved. Simple LC circuits are obtained using the obtained driving point impedance functions.

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“…Introduction. Positive real functions (PRF) have several application fields in electrical engineering [15,13,7,3,4,9,12,16]. In this study, PRFs will be considered in aspect of control systems theory.…”

mentioning

confidence: 99%

Some results on the behaviour of transfer functions at the right half plane

Azeroğlu¹,

Örnek²,

Düzenli̇³

2022

EECT

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<p style='text-indent:20px;'>In this paper, an inequality for a transfer function is obtained assuming that its residues at the poles located on the imaginary axis in the right half plane. In addition, the extremal function of the proposed inequality is obtained by performing sharpness analysis. To interpret the results of analyses in terms of control theory, root-locus curves are plotted. According to the results, marginally and asymptotically stable transfer functions can be determined using the obtained extremal function in the proposed theorem.</p>

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Driving Point Impedance and Signal Flow Graph Basics: A Systematic Approach to Circuit Analysis

Cited by 7 publications

References 3 publications

On boundary analysis for derivative of driving point impedance functions and its circuit applications

On boundary analysis for derivative of driving point impedance functions and its circuit applications

Schwarz lemma for driving point impedance functions and its circuit applications

Some results on the behaviour of transfer functions at the right half plane

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