Question 1 Determine the complex Fourier coefficients, T/2 fedt, 10% = 27 -T/2 of the function, f(t), shown in Figure 1. Hence show that the complex Fourier series of f(t) is f@== Σ sinc no 2 f(t) -1/2 1/2 T/2 -T/2 -1 Figure 1 Sketch the spectrum of the signal, carefully labelling your graph. Explain what happens to the spectrum as the period 7 increases. What happens when T→∞? Note: sin 0 sin(x) sinc(x): 2j x

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Question 1
Determine the complex Fourier coefficients,
T/2
fedt,
10% = 27
-T/2
of the function, f(t), shown in Figure 1. Hence show that the complex Fourier series of
f(t) is
f@== Σ sinc
no
2
f(t)
-1/2
1/2
T/2
-T/2
-1
Figure 1
Sketch the spectrum of the signal, carefully labelling your graph.
Explain what happens to the spectrum as the period 7 increases. What happens when
T→∞?
Note:
sin 0
sin(x)
sinc(x):
2j
x
Transcribed Image Text:Question 1 Determine the complex Fourier coefficients, T/2 fedt, 10% = 27 -T/2 of the function, f(t), shown in Figure 1. Hence show that the complex Fourier series of f(t) is f@== Σ sinc no 2 f(t) -1/2 1/2 T/2 -T/2 -1 Figure 1 Sketch the spectrum of the signal, carefully labelling your graph. Explain what happens to the spectrum as the period 7 increases. What happens when T→∞? Note: sin 0 sin(x) sinc(x): 2j x
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