Q. An excitation is applied to a system at t = T and the response in zero for -∞ < t < T. This system is

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Q. The signumm function written as [sgn(t)] is defined as

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Q. For formation of state equations, resistance of the circuit

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Q. In a Communication system, noise is most likely to affect the signal.

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Q. Assertion (A): The function δ'(t - b) is equal to 0 for t ≠ b

Reason (R): A number of impulses spaced from one another form an impulse train.

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Q. The range of values of a and b for which the linear time invariant system with impulse response.

h(n) = aⁿ n ≥ 0        
= bⁿ n < 0

will be stable if

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Q. If f(- t) = f(t), the function f(t) has only cosine terms.

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Q. Out of the three transforms viz. Z-transform, Laplace transform and Fourier transform

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Q. The integral of k u(t) is

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Q. If a complex voltage wave is applied to a pure inductance, the resulting current wave is much smoother than the voltage wave.

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Q. The discrete time system describes by y(n) = x(n²) is

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Q. A system is stable if ROC

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Q. The Laplace transform of a unit step function is

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Q. If ROC of x[n] is R1 then ROC of aⁿ x[n] is

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Q. x = AX + Bu is a state equation.

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Q. The standard deviation of a set of observations is the rms value of the deviation from the arithmetic mean.

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Q. Which one of following is a static system?

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Q. If R(τ) is autocorrelation of a waveform v(t) and R(0) is autocorrelation for τ = 0, then

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Q. Assertion (A): Impulse function is an important function in network analysis.

Reason (R): Convolution integral enables us to find the response of a network to an arbitary input in terms of the impulse response.

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

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