DFCCIL EE/EC Signals & Systems QUIZ - 4

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Question 1

Consider a causal LTI system with frequency response  for a particular input x(t), this system is observed to produce the output as y(t) = e^–3t u(t) – e^–4t u(t).

Then the input x(t) is

• Ae^—3t u(t)
• Be^–t u(t)
• Ce^–4t u(t)
• De^4t 4(t)

Question 2

Computer the Exponential series of the following signal shown in figure.

• A
• B
• C
• D

Question 3

Match the following List-I (properties of time domain signal) with List-II (properties of Fourier transform).
List-I
A) Real and even
B) Real and odd
C) Imaginary and even
D) Imaginary and odd
List-II
1) Real and odd
2) Real and even
3) Imaginary and even
4) Imaginary and odd

• AA-2 B-1 C-3 D-4
• BA-3 B-2 C-1 D-4
• CA-2 B-4 C-3 D-1
• DA-4 B-3 C-2 D-1

Question 4

Let. If g (t) = u (t) * f (t) and x (t) = g (5t-3), where u (t) is a step signal and * represents convolution. Determine.

• A
• B
• C
• D

Question 5

Find the frequency response of an LTI system with h(t)=

• A
• B
• C
• D

Question 6

Which of the following signal does not have a Fourier series representation?

• Ax(t) = cos3t + sin5t
• Bx(t) = cos6t + sin8t + e^j2t
• C
• DNone of these

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