b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f₂ = 200 Hz. Note that x(t) and x2(t) are continuous time signals and h(t) is the impulse response of the LTI system. Answer the following questions. x₁(t) = cos(wot)e-j2mfit z₁(t) h(t)=sinc(f2t)e-12 (fo+f1) x2(t) = cos(wot)e/2xfit Z₂(t) h(t) = sinc(ft)e/2(fo+fi)t (i) Find the expression for z₁(t). (ii) Find the expression for z₂(t). (iii) Show that the output signal is given by y(t): cos(2π250t). 200 y(t)

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help with signals and systems please much appreciated

b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f₂ = 200 Hz. Note that
x(t) and x2(t) are continuous time signals and h(t) is the impulse response of the
LTI system. Answer the following questions.
x₁(t) = cos(wot)e-j2mfit
z₁(t)
h(t)=sinc(f2t)e-12 (fo+f1)
x2(t) = cos(wot)e/2xfit
Z₂(t)
h(t)
=
sinc(ft)e/2(fo+fi)t
(i) Find the expression for z₁(t).
(ii) Find the expression for z₂(t).
(iii) Show that the output signal is given by y(t):
cos(2π250t).
200
y(t)
Transcribed Image Text:b) For the below system, fo = 150 Hz, f₁ = 100 Hz, and f₂ = 200 Hz. Note that x(t) and x2(t) are continuous time signals and h(t) is the impulse response of the LTI system. Answer the following questions. x₁(t) = cos(wot)e-j2mfit z₁(t) h(t)=sinc(f2t)e-12 (fo+f1) x2(t) = cos(wot)e/2xfit Z₂(t) h(t) = sinc(ft)e/2(fo+fi)t (i) Find the expression for z₁(t). (ii) Find the expression for z₂(t). (iii) Show that the output signal is given by y(t): cos(2π250t). 200 y(t)
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