Question 541. . The Fourier transform of a Gaussian time pulse is 1 z2 ? z

Question 542. . The z-transform of a system is H(z)= z- 0.2 If the ROC is VI < 0.2, then impulse response of the system is

Question 543. . The probability density function of the envelope of narrow band noise is

Question 544. . If a(n) is the response of a linear, time-invariant discrete system to a unit step input, then the response of the same to a unit impulse input is.

Question 545. . The impulse response hIn] of a linear time-invariant system is given by h[n] = u[n + 31 + uln - 21 - 2uln - 7] where ulnl is the unit step sequence. The above system is

Question 546. . The z-transform of a system is H(z) =z-0.2 If the ROC is Izi

Question 547. . The discrete time system described by y(n) = x(n2) is

Question 548. . A causal LTI system is described by the difference equation 2yInl = ayin -21- 2)01 + f3x1n - 11 The system is stable only if

Question 549. . Consider the following statements regarding linear discrete-time system. z2 +1 H(Z) -(z+ 0.5)(z- 0.5) The system is stable. The initial value h(0) of the impulse response is -4. The steady state output is zero for a sinusoidal discrete-time input of frequency equal to one-fourth the sampling frequency. Which of these statements are correct?

Question 550. . The impulse response hinj of a linear time invariant system is given as -2J n = 1, -1 4.5 n = 2, -2 0,otherwise If the input to the above system is the sequence OR", then the output is