离散时间系统响应求解及其待定系数确定
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摘要
响应求解是"信号与系统"课程教学中的核心内容。离散时间系统中方程右边有激励的移位序列的线性组合时,求解零状态响应的常用方法都是激励分解法,但最后结果形式复杂,难以化简和分析。本文提出一种直接求解及确定待定系数的方法。与激励分解法相比,该方法结果表示简单,计算方便,既可以计算零状态响应,也可以计算全响应。
The response analysis of linear time-invariant( LTI) system is the core of the Signal and System course.The solving zero-state response is commonly based on the decomposition of the excitation when the excitation is a linear combination of simple signal and its sequences. But the final results are complex in the form and difficult to simplify and subsequent analysis. In this paper,a method to determine the response and its undetermined coefficients is given. Compared with excitation decomposition,the presented method is simple,convenient and can be used to compute zero-state response or complete response.
The response analysis of linear time-invariant( LTI) system is the core of the Signal and System course.The solving zero-state response is commonly based on the decomposition of the excitation when the excitation is a linear combination of simple signal and its sequences. But the final results are complex in the form and difficult to simplify and subsequent analysis. In this paper,a method to determine the response and its undetermined coefficients is given. Compared with excitation decomposition,the presented method is simple,convenient and can be used to compute zero-state response or complete response.
引文
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[3]曾黄麟,信号与线性系统[M],北京:科学出版社,2011.2
[4]金波,张正炳,信号与系统分析[M],北京:高等教育出版社,2011.4.
[5]邓翔宇,信号与系统(第二版)[M],北京:清华大学出版社,北京交通大学出版社,2005.7
[6]张永瑞,信号与系统(精编版)[M],西安:西安电子科技大学出版社,2014.6.
[7]张晔,信号与系统[M],哈尔滨:哈尔滨工业大学出版社,2010.12.
[8]郭宝龙,闫允一,朱娟娟等,工程信号与系统[M],北京:高等教育出版社,2014.7.
[9]吕幼新,张明友编著,信号与系统(第二版)[M],北京:电子工业出版社,2007.8.
[10]陈后金,胡健,薛健,信号与系统(第二版)[M],北京:清华大学出版社,北京交通大学出版社,2005.7