P. Stenius, P. Heikkila and M. Valtonen, "Transient analysis of circuits including frequency-dependent components using transgyrator and convolution, " Proc. of the 11th European Conference on Circuit Theory and Design, Part II, 1993, pp. 1299--1304. Home/Search Document Details and Download
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Global Modeling of Nonlinear Microwave Circuits - Christoffersen (2000) (Correct)
....the number of significant impulse responses by a factor of 10 to 100, depending on the desired accuracy [17] Convolution as generally implemented uses a rectangular integration scheme (essentially an impulse response is treated as being constant in a time step interval) P. Stenius et al. [19] developed a trapezoidal form of the convolution integration which should have superior convergence properties than the previous block integration. 2.1.2 Numerical Inversion of Laplace Transform Technique This technique does not have aliasing problems since it does not assume that the function is ....
P. Stenius, P. Heikkila and M. Valtonen, "Transient analysis of circuits including frequency-dependent components using transgyrator and convolution, " Proc. of the 11th European Conference on Circuit Theory and Design, Part II, 1993, pp. 1299--1304.
State-Variable-Based Transient Analysis Using Convolution - Christoffersen, Ozkar, Steer (1999) (Correct)
.... can reduce the number of significant impulse responses by a factor of 10 100, depending on the desired accuracy [1] Convolution, as generally practiced, uses a rectangular integration scheme (essentially an impulse response is treated as being constant in a time step interval) Stenius et al. [8] developed a trapezoidal form of the convolution integration, which could possibly have superior convergence properties than the previous block integration. B. AWE The frequency dependent network parameters can be modeled using frequency independent primitives (resistors, inductors, and ....
....to (3) Now, expanding the convolution operation, we get (4) where the system is assumed to be causal: for . Numerical evaluation requires discretization as follows. First, each element of the I FFT of has a finite number of components, which is denoted as . Using the trapezoidal integration rule [8] and using obtained from the I FFT, we obtain (5) For , the last term is zero since . For , the last term is also zero since if if (5) Note that in all but one of the convolution sum terms, thus, most of the convolution sum can be performed before beginning the iterations to solve the ....
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P. Stenius, P. Heikkil a, and M. Valtonen, "Transient analysis of circuits including frequency-dependent components using transgyrator and convolution, " in Proc. 11th European Conf. Circuit Theory Design, pt. III, 1993, pp. 1299--1304.
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