Iteration method for digital solution of nuclear signal forming circuit

Abstract

BackgroundAnalyzing the nuclear electrical circuit in time domain can help to obtian the voltage value at any moment based on the appropriate initial voltage by using recursive method.PurposeThis study aims to obtain the correct output waveform of nuclear signal forming circuit by using iteration method instead of recursive method.MethodsFirst of all, the circuit current equation and the S-K low-pass filter circuit equivalent model were established according to Kirchhoff's current law (KCL) and node voltage method. Then the resistant devices were converted to non-resistant devices by equivalent substitution, and the digital solution was obtained by the iterative method. Finally, ihe initial value problem of recursive method was discussed, and the errors between recursive solution and iterative solution of C-R differential circuit and R-C integral circuit in nuclear signal forming circuit were analyzed.ResultsComparison results verify that the iterative method can solve the initial value problems of nuclear signal forming circuit. Iterative solution and the number of iterations are affected by iteration accuracy.ConclusionsThe error between the iterative method and the analytic solution is small. The higher the set data sampling rate is, the smaller the error is. The accuracy of iterative solution is adjustable, and almost the same effect as the recursive solution.is achieved.

Keywords

• nuclear signal
• iteration method
• r-c integral circuit
• c-r differential circuit
• s-k low-pass filter circuit