摘要
在非线性动态网络响应分析中,采用Volterra级数法可以导出与线性系统传递函数相似的非线性传递函数,能使非线性系统用线性化和系统化方法达到精确分析。本文利用方波函数的积分变换具有将时域内的微分、积分运算变换成方波域内的矩阵代数运算的性质,将一类非线性动态网络响应求解的Volterra级数解的连续时域递推算法转化为离散算式,解决了连续算式中广义卷积积分的迭加计算麻烦的问题。文中给出了该算法,仿真结果证明了它的有效性。
In analysis of nonlinear network responses, Volterra Series can be used to educe the nonlinear transfer function that is similar to the transfer function of linear systems. In order to get precision analysis for nonlinear system by using the methods of linearization and systematization, the paper uses the characters of block-pulse function integral transform which can transform the calculation of the differential and integral in time-domain to the algebra calculation of matrix in block-pulse domain. This method can convert the recursive algorithm in continuous time-domain based on the solutions of Volterra series to a kind of discrete algorithm, so it settles the problem of the integral in the continuous algorithm. The algorithm is presented repeatedly computation of a set of generalized convolution and the results of simulation proves the availability of this method.
出处
《电路与系统学报》
CSCD
北大核心
2008年第4期15-18,14,共5页
Journal of Circuits and Systems
基金
国家自然科学基金资助项目(50677014)
国家863计划(2006AA04A104)
湖南省自然科学基金(06JJ2024)
高校博士学科点专项基金(20020532016)
湖南省科技计划项目(05GK2005)
湖南省杰出青年基金(20020532016)
