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GATE EC : Signals & Systems Champion Quiz 3
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Question 1
The Fourier series expansion of a real periodic signal with fundamental frequency fo is given by 
it is given that C3 = 3+j 5 Then C-3 is
Question 2
The power in the signal 
is:
is: Question 3
The Dirac delta function δ(t) is defined as
Question 4
The Integral in laplace transformation clarifies?
F(t) = 1/2πj∫ P(s) eit ds
F(t) = 1/2πj∫ P(s) eit ds
Question 5
Let 
and 
be the Fourier transform of 
. Then 
is
and be the Fourier transform of . Then is Question 6
Match the following and choose the correct combination:
Question 7
The 3-dB bandwidth of the low-pass signal 
, where 
is the unit step function, is given by
, where is the unit step function, is given by Question 8
A linear, time-invariant, causal continuous time system has a rational transfer function with simple poles at s = –2 and s = –4, and one simple zero at s = –1. A unit step u(t) is applied at the input of the system. At steady state, the output has constant value of 1. The impulse response of this system is
Question 9
A signal x(n) = sin (ω0 n + φ) is the input to a linear time invariant system having a frequency response 
. If the output of the system is Axn-n0), then the most general form of 
will be
. If the output of the system is Axn-n0), then the most general form of will be Question 10
The state variable equations of a system are:
1. x1 = –3x1 – x2 + u
2. x2 = 2x1
y = x1 + u
the system is
1. x1 = –3x1 – x2 + u
2. x2 = 2x1
y = x1 + u
the system is
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Apr 24ESE & GATE EC
