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

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Q. The auto correlation of a sampling function is a

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

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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

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

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

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

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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

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

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

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

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

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

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Q. The function (sin x)/x

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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:

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Q. Auto correlation for τ = 0 is equal to

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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

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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.

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

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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?

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Q. A signum function is

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