Q. If a number of even functions are added, the resultant sum is

View solution

Q. For the differential equation (D³ - D² + D -1) [y(t)] = 0, the root of auxiliary equation are

View solution

Q. The auto correlation of a sampling function is a

View solution

Q. A gate function which occurs at t = t₀ and lasts for duration T can be written as

View solution

Q. Assertion (A): The response of a network to an impluse is determined only by the parameters of the network.

Reason (R): If f(t) is a unit parabolic function, its Laplace transform is 1/s³

View solution

Q. Assertion (A): δ(t - b) is an impulse occuring at t = b

Reason (R): Intergal of unit impulse gives unit step function.

View solution

Q. If a signal g(t) has energy E, then the energy of the signal g(2t) is equal to ...

View solution

Q. For an ac sinusoidal wave, the rms value is 10 A. For the same wave delayed by 60° in each half cycle, the rms value is likely to be

View solution

Q. It f(t) is an odd function, the coefficients Fn in the exponential form of Fourier series

View solution

Q. If the system transfer function of a discrete time system H(z) = z/(z-1), then system is

View solution

Q. Two rectangular waveforms of duration t1 and t2 seconds are convolved. What is the shape of the resulting waveform?

View solution

Q. The function Ae^[(s + jω)t] represens a rotating phasor having a magnitude increasing with time.

View solution

Q. If δ(t) denotes a unit impulse, Laplace transform of d²/dt²[δ(t)] is

View solution

Q. The function (sin x)/x

View solution

Q. Which of the following represents a stable system?

1. Impulse response decreases exponentially.
2. Area within the impulse response in finite.
3. Eigen values of the system are positive and real.
4. Roots of the characteristic equation of the system are real and positive.

Select the answer using the following codes:

View solution

Q. Auto correlation for τ = 0 is equal to

View solution

Q. X and Y are two random variable and Z = X + Y. Let σ²x, σ²y and σ²z be variance of X, Y and Z. Then

View solution

Q. Assertion (A): The conditions under which it is possible to write Fourier series of a periodic function are called Drichlet conditions.

Reason (R): If f(t) = - f(- t), it is refereed to as odd symmetry.

View solution

Q. L[c1f1(t) + c2f2(t)] =

View solution

Q. If a linear time invartant system is exicited by a pure random signal like white noise, the output of the linear system will have which of the following properties?

View solution