(New page: As discussed in class,a system is called linear if for any constants a,b belongs to phi and for anputs x1(t), x2(t) (x1[n],x2[n]) yielding output y1(t) , y2(t) respectively the response to...) |
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| − | As discussed in class,a system is called linear if for any constants a,b belongs to phi and for anputs x1(t), x2(t) (x1[n],x2[n]) | + | As discussed in class,a system is called '''linear''' if for any constants a,b belongs to phi and for anputs x1(t), x2(t) (x1[n],x2[n]) |
yielding output y1(t) , y2(t) respectively | yielding output y1(t) , y2(t) respectively | ||
the response to | the response to | ||
<pre>ax1(t) + bx2(t) is ay1(t)+by2(t).</pre> | <pre>ax1(t) + bx2(t) is ay1(t)+by2(t).</pre> | ||
| + | |||
| + | Consider the following system: | ||
| + | <math>e^{2jt}\to system\to te^{-2jt}</math> | ||
| + | <math>e^{-2jt}\to system\to te^{2jt}</</math> | ||
Revision as of 09:12, 18 September 2008
As discussed in class,a system is called linear if for any constants a,b belongs to phi and for anputs x1(t), x2(t) (x1[n],x2[n]) yielding output y1(t) , y2(t) respectively the response to
ax1(t) + bx2(t) is ay1(t)+by2(t).
Consider the following system: $ e^{2jt}\to system\to te^{-2jt} $ $ e^{-2jt}\to system\to te^{2jt}</ $
