B.Yang and J.Philips, "A multi-interval Chebyshev collocation method for efficient high-accuracy RF circuit simulation", Proc. DAC, Session 11, 2000  Home/Search   Document Details and Download   Summary   Related Articles   Check

....(like the degree of nonlinearity, etc. Traditional SPICE like solvers [11] typically select a 2nd order polynomial model and decrease the size of the subintervals (timestep) in order to ensure the accuracy of the signal model. This is often combined with adaptive stepsize control. In [13], a polynomial based approach is presented, that allows you to make a trade off between timestep and polynomial order. When dealing with telecom systems and their associated IF and RF modulated signals, these approaches however lead to a huge number N T of subintervals (small timestep) resulting ....

B.Yang and J.Philips, "A multi-interval Chebyshev collocation method for efficient high-accuracy RF circuit simulation", Proc. DAC, Session 11, 2000

.... in simulation of sensitive RF circuits, we have recently developed a method that works by discretizing the circuit equations by dividing the simulation domain into a set of intervals whose size is adaptively chosen and using Chebyshev polynomials to represent the solution in each interval [12]. On each interval, the time derivative operator is replaced by a Chebyshev differentiation matrix, and continuity between the interval boundaries is enforced. The order of approximation within each interval and the size of the intervals can be adjusted independently, resulting in a flexible ....

B. Yang and J. Phillips, "A multi-interval Chebyshev collocation method for efficient high-accuracy RF circuit simulaiton ", Proc. DAC, June 2000.

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