Time Left - 15:00 mins
GATE 2020: Signals and Systems Rapid Quiz - 1
Attempt now to get your rank among 619 students!
Question 1
Consider the sequence given below 
The value of 
Question 2
A periodic signal x(t) has a trigonometric Fourier series expansion X(t) = a0+
if x (t) =-x(-t) = -x (t-
) , we can conclude that
Question 3
An LTI system with unit sample response 
is a
is a Question 4
Let h[n] be the impulse response of a discrete-time linear time invariant (LTI) filter. The impulse response is given by
h[0]=
; h[1]= 
;h[2]= 
;and h[n]=0 for n<0 and n>2
Let H(ω)be the discrete-time Fourier system transform (DTFT) of h[n], where ω is the normalized angular frequency in radians. Given that H(ω)=0 and
, the value of 
(in radians) is equal to _______.
h[0]=
; h[1]= ;h[2]= ;and h[n]=0 for n<0 and n>2 Let H(ω)be the discrete-time Fourier system transform (DTFT) of h[n], where ω is the normalized angular frequency in radians. Given that H(ω)=0 and
, the value of (in radians) is equal to _______.Question 5
Consider the parallel combination of two LTI systems shown in the figure.
The impulse responses of the systems are
If the input x(t) is a unit step signal, then the energy of y(t) is ______.
The impulse responses of the systems are
If the input x(t) is a unit step signal, then the energy of y(t) is ______.
Question 6
Let x(t) be the input to a linear system and time- invariant system. The required output is 4x (t- 4). The Transfer function of the system should be
- 619 attempts
- 3 upvotes
- 2 comments
Dec 15ESE & GATE EC
