A periodic signal x(t) is shown in Figure-1 and x(t) is defined as: x(t)=cos(t) for -t/2

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A periodic signal x(t) is shown in Figure-1 and x(t) is defined as:
x(t)=cos(t) for -t/2<t< t/2 , periodic with T=T.
Find the complex exponential Fourier Series coefficients
1
а)
of x(t).
b)
Find the Fourier Series coefficients of x1(t) = x(t -
x(t)
1.5
1
0.5
-TT/2
TT/2
3T/2
-3/2
-0.5
-1E
-1.5
-2
-6
-4
-2
2
4
Transcribed Image Text:A periodic signal x(t) is shown in Figure-1 and x(t) is defined as: x(t)=cos(t) for -t/2<t< t/2 , periodic with T=T. Find the complex exponential Fourier Series coefficients 1 а) of x(t). b) Find the Fourier Series coefficients of x1(t) = x(t - x(t) 1.5 1 0.5 -TT/2 TT/2 3T/2 -3/2 -0.5 -1E -1.5 -2 -6 -4 -2 2 4
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