On the loop equation formulation for switched capacitor networks

Palomera-Garcia, R.; Reyes-Serrato, Armando

doi:10.1002/cta.4490130409

Cited by 1 publication

(1 citation statement)

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“…Basically, four major approaches 1 have been considered for the same by the researchers, viz., (i) Nodal Analysis (NA) 2,3 and Modified Nodal Analysis (MNA), 4–6 (ii) Equivalent Circuit approach (EC), 7,8 (iii) State Space Analysis (SSA), 9–11 and (iv) Symbolic Analysis (SA) based on Signal Flow Graphs 12–17 . Every method has its own merits and demerits; however, it's interesting to note that, out of these, only a few have been extended for CAD implementations 2,4–6,13–16,18 and are based on NA, MNA, or SA.…”

Section: Introductionmentioning

confidence: 99%

Tree/link method for transfer function and stability analysis of switched‐capacitor circuits

Dinesh

Kailath

2021

Circuit Theory & Apps

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Summary The wide spread application of switched‐capacitor circuits has resulted in complex structures wherein the derivation of transfer function in discrete form is not quite straight forward. A computer‐aided tool for direct transfer function analysis of switched‐capacitor circuits using state formulation method is proposed in this paper. The state equation matrices are directly constructed from the circuit topology using tree/link analysis. The entire topology is formulated only using cutset equations to obtain the state matrices without any modifications. The discretized topological state matrices are used to generate the transfer function in z form by forward substitution of state equation in successive clock phase. Lyapunov criteria‐based matrix equation constructed using the same state matrix is used to investigate the circuit stability. The formulation is also suitable in addressing the effect of non‐idealities like switch resistance and finite gain of operational amplifiers, on the location of poles and zeros. Various numerical examples have been presented to demonstrate the performance of the simulator.

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