Q. The function δ'(t - b) is a unit doublet.

View solution

Q. The value of P(2 < x < 3) in function f(x) = K(x - 1) for K = 1 < x < 4 is

View solution

Q. If f(t) = sgn(t), F(jω)

View solution

Q. If xk = 0 for k < 0 and = 2^k for k ≥ 0 X(z) = z/(z -2).

View solution

Q. Assertion (A): If an event A can happen in m ways and another event B can happen in n ways, both can happen in mn ways.

Reason (R): Two events are mutually exclusive if happening of either precludes the occurrence of other.

View solution

Q. A dice is tossed. The probability that either 1 or 2 will appear is

View solution

Q. The signal m(t) = 10 cos 100 πt is sampled at the rate of Fs = 75 Hz, then determine signal after sampling.

View solution

Q. The tree selected for the formation of state equations contains

View solution

Q. Consider the following statements

1. If ensemble and time averages of a random process are identical, the process is ergodic.
2. If ensemble and time average of a random process are not identical, the process is ergodic.
3. An ergodic process is stationary.
4. A stationary process is necessarily ergodic.

Which of the above statements are correct?

View solution

Q. (sI - A)¯¹ is equal to

View solution

Q. For a Gaussian process, auto-correlation sequence also implies that

View solution

Q. Which one of the following is correct? Energy of a power signal is

View solution

Q. Choose the correct option

View solution

Q. For matrix A, A¯¹ A = 1

View solution

Q. If xk = 2^k for k ≤ 0 and = 0 for k > 0 X(z) = 2/(2 - z).

View solution

Q. In plotting line spectrum

View solution

Q. Assertion (A): Transient periods are of short duration but can result in dangerously high voltages and currents.

Reason (R): Circuit equations in transient analysis are integral differential equations.

View solution

Q. Assertion (A): The function ke^(st) with both σ and ω positive and s > 0 depicts a sinusoid whose amplitude increases with time.

Reason (R): If σ = 0, ke^(st) becomes a sinusoid.

View solution

Q. The peak factor is

View solution

Q. Assertion (A): A half cycle of sine wave can be expressed as sum of sine wave and another sine wave shifted by T/2 where T is the time period.

Reason (R): The function u(t - t₀) - u(t - t₀ - T) is a gate function occuring at t = t₀ and of duration T.

View solution