使用更多的“自然"字样在Matlab MuPAD中操作分段步进函数的形式? [英] Use more "natural" form to manipulate piecewise step functions in Matlab MuPAD?

问题描述

我具有单位步进功能:

u0:= piecewise([-infinity < t and t < 0,0],[0 < t and t < infinity,1]):

现在我想在某个时候绘制它:

Now I want to plot it at some point:

T:=1:;
plot(u0|t=t-T/2);

这有效.但是当我使用更自然的表达方式时:

This works. But when I use a more natural expression:

T:=1:;
plot(u0(t-T/2));

它只是绘制了原始的未移动阶跃函数.

it simply plots the original unshifted step function.

在绘制修改后的阶跃函数时，有什么方法可以使用更简单的形式?

Is there any way to use the more simpler form when plotting the modified step function?

推荐答案

我相信您所说的更自然的形式"不起作用的原因是，因为u0尚未定义为 MuPad函数/过程.在这种情况下，您可以使用 ->运算符创建一个过程. :

I believe the reason that what you call the "more natural form" doesn't work, is because u0 has not been defined as a MuPad function/procedure. In this case, you can create a procedure using the -> operator:

u0 := t -> piecewise([-infinity < t and t < 0, 0], [0 < t and t < infinity, 1]):

请注意，上述内容等同于u0 := t -> piecewise([t < 0, 0],[t > 0, 1]):(我假设您已经知道未定义0).然后，您应该能够进行评估:

Note that the above is equivalent to u0 := t -> piecewise([t < 0, 0],[t > 0, 1]): (I assume that you're aware that you've left 0 undefined). Then you should be able to evaluate:

T := 1:
plot(u0(t-T/2))

因为u0现在是一个函数，所以使用 运算符|，必须更改为:

Because u0 is now a function, your first form using the evalAt operator, |, must be altered to:

T := 1:
plot(u0(t)|t=t-T/2)

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