Electronics and Communication Engineering - Communication Systems - Discussion

Discussion Forum : Communication Systems - Section 1 (Q.No. 17)
17.
Which of the following cannot be the Fourier series expansion of a periodic signal?
x(t) = 2 cos t + 3 cos 3t
x(t) = 2 cos pt + 7 cos t
x(t) = cos t + 0.5
x(t) = 2 cos 1.5pt + sin 3.5 pt
Answer: Option
Explanation:

x(t) = cos t + 0.5

not satisfies the Dirichlet condition.

The integration of constant term is ∞.

Discussion:
11 comments Page 1 of 2.

Rohit prakash said:   1 decade ago
We can say that it's a Fourier series so it should contain sin or cosine terms.

Dhiman biswas said:   10 years ago
It signifies that we know Fourier series expansion is possible only in periodic signal in correct option there is a dc term.

Eswar said:   9 years ago
In option B irrational numbers will get.

Anirban Sengupta said:   9 years ago
The answer is incorrect. Option B will be the right answer. Because the ratio of two frequencies is not rational. So that's why it is not a periodic function and hence can't be expressed as Fourier series.

Amit said:   9 years ago
The Answer should be B.

Abhishek said:   8 years ago
The answer should be B because it is not at all periodic signal.

Venkatesh said:   8 years ago
Yes. Option B will be right. Because it's not a periodic signal and we cannot find Fourier series for a periodic signal.

Sunil said:   8 years ago
Option B is right.

Venkatesh said:   7 years ago
Option B is correct. Because it was a non periodic signal.

Chand said:   6 years ago
Option B is the correct answer.


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