Generalized Miller theorem and its applications

Rathore, T.S.

doi:10.1109/13.34176

Cited by 14 publications

(13 citation statements)

References 3 publications

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“…Several authors [5,8] studied the problem of generalization of Miller's theorem to interconnected two ports. Moura [6] used two ports for error analysis.…”

Section: Generalized Miller's Theoremsmentioning

confidence: 99%

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New Results Related to Miller’s Theorem

Prasad

2009

Circuits Syst Signal Process

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Miller's theorem is a popular tool in the field of analog electronic circuit analysis. This paper gives some new results related to this. Impedance and admittance parameter formulations are proposed for Miller's theorem and its dual, respectively. Examples are given to show that Miller's theorems can be used in unconventional ways. The dual can be used in place of the main theorem and conversely. Star delta transformation can be performed using the two theorems. It is shown that Miller's theorems can be generalized to interconnected two ports in many different ways.

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“…Several authors [5,8] studied the problem of generalization of Miller's theorem to interconnected two ports. Moura [6] used two ports for error analysis.…”

Section: Generalized Miller's Theoremsmentioning

confidence: 99%

“…So it is useful to generalize Miller's theorem and its dual to general two ports and also for all four possible interconnections. Several authors [5,8] studied this problem and presented generalized Miller's theorems. In this paper we show that Miller's theorem can be generalized in many ways.…”

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confidence: 99%

New Results Related to Miller’s Theorem

Prasad

2009

Circuits Syst Signal Process

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“…Later two more versions [10] and [4] of Miller's theorem appeared. Rathore [14] has given a generalized Miller theorem and its applications in the analysis and synthesis of networks. Ki et al [5] examine pole splitting of a generic single-stage amplifier in detail.…”

Section: Introductionmentioning

confidence: 99%

“…In the first group, exact solution can be approached by the process of iteration [11]. Recently Rathore [14] and later Dutta Roy [2] have shown that Miller's theorem and its dual can be used for the exact analysis. In [2] it has been demonstrated that, even though there are undetermined gain parameters in the equivalent Miller impedances, they do not act as deterrents and the exact analysis can be carried out.…”

Section: Introductionmentioning

confidence: 99%

Miller Equivalents and Their Applications

Rathore¹,

Shah

2010

Circuits Syst Signal Process

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Miller's theorems are utilized for approximate as well as exact analysis of both passive and active networks in conjunction with other theorems on a single element or different elements in succession. In this paper, all the four possible Miller equivalents are fully exploited for the exact analysis by applying on different elements simultaneously. This has never been attempted before and may be viewed as an alternate approach for analyzing the networks. The four Miller equivalents are derived using the substitution theorem followed by typical illustrative examples.

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“…Note that Miller's theorem has been generalized in [ 14] for all possible two-port interconnections and illustrated by several examples of analysis and synthesis of active networks,…”

Section: Introductionmentioning

confidence: 99%

Miller's theorem revisited

Roy

2000

Circuits Systems and Signal Process

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Abstract.Miller's theorem is generally used for approximate analysis of high-frequency amplifier circuits. That it can be used without much difficulty for the exact analysis of such circuits as well as others, including passive networks, does not appear to be widely recognized in the literature. Although formulated and proved in 1972, the dual of Miller's theorem has hardly ever been used. In this paper, we present the exact analysis of a number of circuits of practical interest with the help of either Miller's theorem or its dual or both, almost by inspection.

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Generalized Miller theorem and its applications

Cited by 14 publications

References 3 publications

New Results Related to Miller’s Theorem

New Results Related to Miller’s Theorem

Miller Equivalents and Their Applications

Miller's theorem revisited

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