1) A periodic continuous time signal x(t) with period To=9 is shown in Figure-1. a. Calculate the Fourier Series representation of x(t), find the Fourier Series coefficients. x(t) 2 -2 2 7 11 -1 To b. Calculate the Fourier Series representation of the following signals: x(t-1) х(-) dx/dt 2) Periodic signal x(t) which is shown in Figure-1 is applied to a LTI system with impulse response h: h(t) = 3 8 (t) + 2 e -" u(t). Find the output y(t) using the Fourier Series of x(t) and h(t).

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1) A periodic continuous time signal x(t) with period To-9 is shown in Figure-1.
a. Calculate the Fourier Series representation of x(t), find the Fourier Series
coefficients.
x(t)
2
-7
-2
2
7
11
-1
To
b. Calculate the Fourier Series representation of the following signals:
x(t-1)
x(-t)
dx/dt
2) Periodic signal x(t) which is shown in Figure-1 is applied to a LTI system with
impulse response h:
h(0) — 3 8 (1) + 2 е 41 и()
%3D
Find the output y(t) using the Fourier Series of x(t) and h(t).
LTI
x(t)
y(t)
h(t)
Transcribed Image Text:1) A periodic continuous time signal x(t) with period To-9 is shown in Figure-1. a. Calculate the Fourier Series representation of x(t), find the Fourier Series coefficients. x(t) 2 -7 -2 2 7 11 -1 To b. Calculate the Fourier Series representation of the following signals: x(t-1) x(-t) dx/dt 2) Periodic signal x(t) which is shown in Figure-1 is applied to a LTI system with impulse response h: h(0) — 3 8 (1) + 2 е 41 и() %3D Find the output y(t) using the Fourier Series of x(t) and h(t). LTI x(t) y(t) h(t)
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