A Comprehensive and Unified Procedure for Symbolic Analysis of Analog Circuits

Hashemian, Reza

doi:10.1109/tcsi.2022.3165152

Cited by 2 publications

(3 citation statements)

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“…This will provide us with the NAM determinant and the specific cofactor of the NAM. The procedure we are applying here is the AM technique [8] [10].…”

Section: Nullor Circuitmentioning

confidence: 99%

“…A listing of the sub-circuits, their active components, and the values of the STPs for the sub-circuits are given in Table 1. Finally, based on the data given in Table 1 we produce the symbolic representation of T, T 21 , and the gain transfer function A v , as given in ( 7), (8), and (10).…”

Section: The Stp Of An All-nullor Circuitmentioning

confidence: 99%

“…Due to their simplicity and being versatile, nullors are ideal for symbolic representation of circuit transfer functions [8]. In this presentation we are going to use nullors exactly for this purpose, and the platform adopted for it is going to be the topological platform using the tree enumeration method.…”

Section: Introductionmentioning

confidence: 99%

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Nullors, and Nullor Circuits; There Applications in Symbolic Circuit Analysis and Design

Hashemian

2024

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The objective in this presentation is to introduce some of the unique properties and applications of nullors in active circuit analysis and designs. The emphasis is to discuss the role nullors can play in symbolic representation of transfer functions. To show this we adopt the topological platform for the circuit analysis and use a recently developed Admittance Method (AM) to achieve the Sum of Tree Products (STP), replacing the determinant and cofactors of the Nodal Admittance Matrix (NAM) of the circuit. To construct a transfer function, we start with a given active circuit and convert all its controlled sources and I/O-ports to nullors. Now, with a solid nullor circuit (passive elements and nullors) we first eliminate the passive elements through AM operations. This produces the STPs. Second, the all-nullor circuit is then used to find the signs or the STPs. Finally, the transfer function (in symbolic, if chosen) is obtained from the ratio between the STPs.

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“…This will provide us with the NAM determinant and the specific cofactor of the NAM. The procedure we are applying here is the AM technique [8] [10].…”

Section: Nullor Circuitmentioning

confidence: 99%

Section: The Stp Of An All-nullor Circuitmentioning

confidence: 99%