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  3. energy and power of signals. (a) plot the sig

energy and power of signals. (a) Plot the signal x(t) = e−tu(t) and determine its energy. What is the power of...

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Electrical Engineering

energy andpower of signals.

(a) Plotthe signal x(t)=e−tu(t)and determine its energy. What is the power of x(t)?

(b) Howdoes the energy of z(t)=e−∣t∣,−∞<t<∞, compare to the energyof z1(t)=e−tu(t)?Carefully plot the two signals.

(c) Consider thesignal
y(t)=sign[xi(t)]= 1xi(t)≥0

−1xi(t)< 0

for−∞<t<∞,i=1,2. Find theenergy and the power of y(t)when (a)x1(t)=cos(2πt)(b)x2(t)=sin(2πt)

Ploty(t)in each case.

  1. (d) Given v(t)=cos(t)+cos(2t).

    i.Compute thepower of v(t).
    ii.Determine thepower of each of the components of v(t),add

    them andcompare the result to the power of v(t).

  2. (e) Findthe power of s(t)=cos(2Ï€t)and of f(t)=s(t)u(t).How do

    theycompare?

Answers:(a)Ex=0.5; (b)Ez=2Ez1;(c) Py=1; (d)Pv=1.

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