Q. Fourier transform of f(t) =

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Q. In the state equation x = AX + Bu is a n x m matrix.

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Q. If f(x) = x/2 , 0 < x < 3 = 0 otherwise find E(X)

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Q. If x[n] = cos[n/2], then the sequence x[n] is

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Q. A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low pass filter with cut off frequency 800 Hz. The output signal has the frequency.

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Q. If autocorrelation sequence is Rc(n) = {1,2,3,4,6,8} then what will be energy of sequence?

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Q. The function δ(t - b) is

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Q. An ac network has a power factor of 0.8 lagging for fundamental frequency. If the applied voltage contains thrid and fifth harmonics, the overall power factor will be

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Q. what will be sampling rate to aviod aliasing for the signal m(t) = 10 cos 100 πt?

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Q. Choose the function f(t), - ∞ < t < + ∞, for which a Fourier series cannot be defined

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Q. A pulse function having magnitude E and duration from t = 0 to t = a can be represented as

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Q. If I(s) = 5(s+250) / s(s+100) , initial value of i(t) is

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Q. The DTFT of x(n) = δ(n) will be

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Q. Principle of superposition is applicable to

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Q. The range of value "a" for which system will be stable. If impulse response of DT system is = aⁿ ∪[n]

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Q. Assertion (A): The number ∈ such that the probability that an error is between -∈ and + ∈ is 1 is called probable error of single obserevation.

Reason (R): The standard deviation is the arms value of the deviation from the arithmetic mean.

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Q. If a function has only cosine terms, it must satisfy the equation

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Q. Laplace transform of unit doublet is

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Q. The integral of a unit step function is

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Q. Highest value of autocorrelation function 100 sin 50 πt is

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