Q. A casual LTI system is described by the difference equation

2y[n] = αy[n - 2] - 2x[n] + βx[n -1]

The system is stable only if

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Q. Fourier series is applicable for

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Q. Fourier transform F(jω) of an arbitrary signal has the property

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Q. The units of F(jω) are volt-seconds.

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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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