Integrated Video-Frequency Continuous-Time Filters

Willingham, Scott D.; Martin, K.

doi:10.1007/978-1-4615-2347-5

Cited by 19 publications

(6 citation statements)

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“…It is the value of where the fundamental component is compressed by 1 dB, and is denoted by . This value can be approximately calculated from (4). Indeed, the compression is caused by the second term (in ) of the coefficient of .…”

Section: Immentioning

confidence: 98%

Distortion in elementary transistor circuits

Sansen

1999

IEEE Trans. Circuits Syst. II

214

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Section: Immentioning

confidence: 98%

Distortion in elementary transistor circuits

Sansen

1999

IEEE Trans. Circuits Syst. II

214

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“…; a b ) is defined as the Hadamard product of the two vectors. 3 If h = "g does not hold in (2), then (13) must be replaced by the more general model _ v = Av + Ev + Bu + Fu (14) y = Cv + Kv where E, F, and K are the corresponding matrices for the third-order nonlinear terms. Although the algebra is a little more involved in this case, one can follow exactly the same steps presented in this paper to derive the total distortion of the filter (system).…”

Section: Estimation Of Harmonic Distortionmentioning

confidence: 99%

“…When the transconductors exhibit weak third-order nonlinearity modeled by (3), (12) changes to (13) Equations (13) are the filter's model used in this work 3 .…”

Section: Introductionmentioning

confidence: 99%

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State-space harmonic distortion modeling in weakly nonlinear, fully balanced G/sub m/-C filters-a modular approach resulting in closed-form solutions

Zhang

Celik

Sotiriadis

2006

IEEE Trans. Circuits Syst. I

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State space harmonic distortion modeling and estimation are introduced for -filters with fully balanced, weakly nonlinear tranconductors. The proposed method provides compact closed-form answers expressed explicitly in terms of the values of the circuit elements. It can be easily implemented in MATLAB and applied to -filters of any order. The filter is viewed as a composition of three operators in signal space representing the input stage, the filter core, and the output stage. Each operator is then decomposed into the superposition of a linear operator and a nonlinear operator. The total distortion at the output is shown to be approximately the sum of the distortion introduced by the nonlinear operator of each stage. The theoretical results are found to be in good agreement with Cadence simulations for the cases of a lossy integrator and a third-order Butterworth low-pass filter.

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“…This concept is used both for analysis and optimization of (static) TL structures as described in [40] and [41]. The time-varying dependence of the excess voltage leads to residual distortion [42]. A rough estimation of the excess voltage is feasible if the ideal (i.e., expected) values of collector currents for each junction involved are known.…”

Section: Practical Deviations and Considerationsmentioning

confidence: 99%

"Log-domain state-space": a systematic transistor-level approach for log-domain filtering

Drakakis

Payne

Toumazou

1999

IEEE Trans. Circuits Syst. II

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In this paper the properties of a low-level nonlinear continuous-time circuit element-termed a Bernoulli Cell (or Operator)-are described in a systematic way. This cell is composed of an npn BJT and an emitter-connected grounded capacitor, and is governed by a differential equation of the Bernoulli form. Although this cell has the potential for application in both linear and nonlinear analog signal processing, this paper will focus on the field of input-output linear log-domain filtering. The Bernoulli Cell can be utilized in both the analysis and synthesis of log-domain circuits. The Bernoulli Cell approach leads to the creation of a system of linear differential equations with timedependent coefficients and state variables nonlinearly related to currents internal to the circuit; this set of equations is termed "log-domain state-space," and can be used for the synthesis of linear log-domain filters. Four design examples-including a bandpass biquad-are presented.

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Integrated Video-Frequency Continuous-Time Filters

Cited by 19 publications

References 0 publications

Distortion in elementary transistor circuits

Distortion in elementary transistor circuits

State-space harmonic distortion modeling in weakly nonlinear, fully balanced G/sub m/-C filters-a modular approach resulting in closed-form solutions

"Log-domain state-space": a systematic transistor-level approach for log-domain filtering

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