A Calculation Method of Circuit Transient Response Based on Recursive Convolution

Abstract

The invention discloses a recursive convolution-based circuit transient response calculation method. The method comprises the steps of (1) obtaining a decomposition formula of a transfer function H(s), and determining an expression of an excitation function h(t); (2) based on an input voltage Vin(t0) and the decomposition formula of the transfer function H(s), performing Newton-Raphson iteration of a state variable Vout,i,j(t0) and an output voltage Vout(t0) at an initial moment t0; (3) based on a state variable Vout,i,j(tn-1) at a previous moment tn-1 and an input voltage Vin(tn) at a current moment tn, performing Newton-Raphson iteration of the state variable Vout,i,j(t0) and the output voltage Vout(t0) at the current moment tn; and (4) repeatedly executing the step (3) until a simulation ending moment. According to the recursive convolution-based circuit transient response calculation method, in circuit simulation, a method for quickly calculating the output voltage is provided for sub-circuits or elements with given input voltage and transfer function in combination with characteristics of transient circuit simulation by utilizing a basic thought of recursive convolution calculation.

Description

technical field [0001] The invention relates to the technical field of circuit simulation, in particular to a calculation method for circuit transient response based on recursive convolution. Background technique [0002] In circuit simulation, Laplace transform is a widely used integral transform method. The equations obtained by using Laplace transform to describe nonlinear elements or linear time-invariant circuits are simpler in form, intuitive and easy to operate than linear differential equations in time domain. Transform the voltage or current in the time domain to the frequency domain through Laplace transform, and then use the transfer function to further realize various operations and operations in the frequency domain to obtain the results in the frequency domain, and finally convert this result into a time domain by convolution Output the results on the domain. [0003] figure 1 It is a flow chart of Laplace transform processing circuit signal in the prior art...

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Problems solved by technology

[0012] The recursive convolution algorithm only considers the single-pole situation, although Bai Jianjun and Lin Zhenghui wrote in the paper "Analysis of Recursive Convolution Method for Transient Response of Interconnection of Multi-chip Components" (published in "Microelectronics" Journal Volume 30 Issue 5) The multi-pole situation is considered in the paper, and the recursive results are given, but the algorithm is relatively complicated, and it is not practical in large-scale circuit simulation

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