Electronics and Communication Engineering - Exam Questions Papers - Discussion
Discussion Forum : Exam Questions Papers - Exam Paper 2 (Q.No. 29)
29.
Consider the signal x(n) = 1 + sin
n + 3 cosn + cos 
. Then Fourier series coefficients are __________ .
n + 3 cosn + cos . Then Fourier series coefficients are __________ .1, 
- 
j, + j, j, - j
- j, + j, j, - j1, + j, - j, - j , + j
+ j, - j, - j , + j1, 3 - j, 3 + j, j, - j
j, 3 + j, j, - j1, 3 + j, 3 - j, - j, + j
Answer: Option
Explanation:
The signal x(n) = 1 + sinn 3 cos n + cos n + cos
is periodic with period N, and we can expand x[n] directly in terms of complex exponentials to obtain
Collecting terms, we find that
Thus for Fourier series coefficients for this example are
a0 = 1,
a1 = +
= -j,
a-1 = - = +j,
a2 = j,
a-2 = -j.
Discussion:
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