By Fei Yuan

ISBN-10: 1402079222

ISBN-13: 9781402079221

ISBN-10: 1402079230

ISBN-13: 9781402079238

Desktop equipment for research of Mixed-Mode Switching Circuits presents an in-depth remedy of the foundations and implementation information of machine tools and numerical algorithms for research of mixed-mode switching circuits. significant subject matters include:

-Computer-oriented formula of mixed-mode switching circuits,

-Network services of linear and nonlinear time-varying systems,

-Numerical Laplace inversion dependent integration algorithms and inconsistent preliminary conditions,

-Time area research of periodically switched linear and nonlinear circuits together with reaction, sensitivity, noise, clock jitter, and statistical quantities,

-Time area research of circuits with internally managed switches and over-sampled sigma-delta modulators,

-Tellegen's theorem, frequency reversal theorem, and move functionality theorem of periodically switched linear circuits and their applications,

-Frequency area research of periodically switched linear and nonlinear circuits together with reaction, sensitivity, crew hold up, noise, and statistical amounts.

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**Additional resources for Computer Methods for Analysis of Mixed-Mode Switching Circuits**

**Sample text**

Now, consider a linear capacitor in phase of a periodically clocked linear circuit. 5, requires that be zero outside phase To ensure that is zero for the input to the sub-circuit of phase must be removed. e. must be extracted completely. 8. Most nonlinear capacitors encountered in integrated mixed-mode switching circuits are pn-junction induced. The small-signal behavior of a nonlinear capacitor is often characterized using its charge-voltage relation, usually up to the order of three [2] where and are the AC components of the charge stored in the capacitor and the voltage across the capacitor, respectively.

Chapter 10 introduces Tellegen’s theorem for periodically switched linear circuits in the phasor domain. In addition, it derives the adjoint network of periodically switched linear circuits using the principle of inter-reciprocity. Frequency reversal theorem and transfer function theorem for periodically switched linear circuits are introduced, and their effectiveness in efficient calculation of both the transfer functions and aliasing transfer functions of these circuits is examined. Frequency domain analysis of periodically switched linear circuits including the response, sensitivity, group delay, the noise, mean and variance of the response of these circuits are analyzed in Chapter 11.

The MNA formulation for arbitrarily large circuits is straightforward. No manipulation of equations is necessary. Branch voltages and many branch currents are eliminated in MNA formulation as compared with Tableau formulation, leading to much smaller circuit matrices. Circuit matrices are sparse. The sparsity of circuit matrices enables the use of sparse matrix solvers to significantly reduce the cost of computation. Convenience in calculating parameter sensitivity [5]. Time derivatives of independent sources are never needed.

### Computer Methods for Analysis of Mixed-Mode Switching Circuits by Fei Yuan

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