Time Left - 15:00 mins
Solution of Signals & Systems Live Quiz Session
Attempt now to get your rank among 535 students!
Question 1
Two signals are given as follows:
Where x(t) is a continuous time signal and x[n] is a discrete time signal.
Which of the following statement is correct?
Where x(t) is a continuous time signal and x[n] is a discrete time signal.
Which of the following statement is correct?
Question 2
Which of the following signal is obtained on integrating ramp signal?
Question 3
Impulse response of a system is defined as
Question 4
Which of the following is false?
i. The signal multiplied by u(n) are causal signals (defined for n≥ 0).
ii. The signals multiplied by u (-n-1) are anti causal signals (defined for n<0).
iii. The z- transform for e-anT u (n) is 1 / 1 - e-aT z-1 with
iv. δ(n) has entire z-plane as ROC.
i. The signal multiplied by u(n) are causal signals (defined for n≥ 0).
ii. The signals multiplied by u (-n-1) are anti causal signals (defined for n<0).
iii. The z- transform for e-anT u (n) is 1 / 1 - e-aT z-1 with
iv. δ(n) has entire z-plane as ROC.
Question 5
From the following signals, find the signal whose Fourier series does not exist or it is invalid.
Question 6
Consider the signal given below:
. 
then the Nyquist sampling rate of the signal is
. then the Nyquist sampling rate of the signal is
Question 7
Which of the following are true regarding ROC:
i. If x (n) is a finite duration two – sided (non causal) signal, the ROC lies between z=0 and z= ∞.
ii. If X (z) is rational, then ROC includes all poles of X (z).
iii. If X (z) is rational, and if x (n) is two sided, then ROC is the region between two circles whose radius corresponds to the pole of the causal part with the largest magnitude and the pole of the anticausal part with smallest magnitude.
iv. If x (n) is infinite duration two – sided (non causal) signal, the ROC lies on the entire z – plane except the region between two circles of radius r1 and r2.
i. If x (n) is a finite duration two – sided (non causal) signal, the ROC lies between z=0 and z= ∞.
ii. If X (z) is rational, then ROC includes all poles of X (z).
iii. If X (z) is rational, and if x (n) is two sided, then ROC is the region between two circles whose radius corresponds to the pole of the causal part with the largest magnitude and the pole of the anticausal part with smallest magnitude.
iv. If x (n) is infinite duration two – sided (non causal) signal, the ROC lies on the entire z – plane except the region between two circles of radius r1 and r2.
Question 8
Two discrete time systems with impulse responses h1[n] = δ[n - 1] and h2[n] = δ[n – 2] are connected in cascade. The overall impulse response of the cascaded system is
Question 9
Consider a discrete time periodic signal 
. Let ak be the complex Fourier series coefficients of x[n]. The coefficients {ak} are non-zero when k = Bm ±1, where m is any integer. The value of B is______.
. Let ak be the complex Fourier series coefficients of x[n]. The coefficients {ak} are non-zero when k = Bm ±1, where m is any integer. The value of B is______.Question 10
Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as
Which one of the following statements is true about the system?
Which one of the following statements is true about the system?
- 535 attempts
- 5 upvotes
- 7 comments
Feb 22ESE & GATE EC
