Friday, 4 December 2015

How to check if a signal is power signal or energy signal?


What is the procedure to check the signal type?


example:


x(t)=Asin(ωt)


y(t)=Aeλ|t|



Answer




let's assume the signal, x(t) is not identically zero for all t.


an "energy signal" (what i would prefer to call a "finite energy signal") is such a signal, x(t) with a finite energy: 0 < |x(t)|2 dt < +


BTW, sometimes for mathematical ease, we require a stricter sense of finite "energy": 0 < |x(t)| dt < +


and a "power signal" (what i would prefer to call a "finite power signal") is such a signal, x(t) with finite power: 0 < lim


i think that is the most fundamental definitions of the two classes of continuous-time signals. you can do a very similar definitions for discrete-time signals, x[n].


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