How is it possible to tell if systems are linear, non-linear or time-invariant?

Question

Niamh Mc Devitt 2013-10-23

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/91222-how-is-it-possible-to-tell-if-systems-are-linear-non-linear-or-time-invariant

回答： Wayne King 2013-10-23

How is it possible by looking at systems to tell whether a system is linear, non-linear and time invariant? For example how would you tell with these systems, (a) y[n] = sin(x[n]) (b) y[n] = 3x[2n] (c) y[n] = 5x[n – 3]

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

Wayne King 2013-10-23

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/91222-how-is-it-possible-to-tell-if-systems-are-linear-non-linear-or-time-invariant#answer_100620

This is not a MATLAB question. You can simply tell in these cases by checking whether the operator satisfies the superposition and scaling properties of a linear operator and whether the operator commutes with the shift operator (time invariance)