Q. A rectangular pulse train s(t) is shown in figure is convolved with the signal cos²(4π x 10³t). The convolved signal will be a

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Q. The z-transform of sequence n x x[n] is

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Q. The inverse Laplace transform of

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Q. The function f(t) in the given figure will have its Laplace transform as

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Q. The joint probability function of two discrete random variable X and Y is given by following equation. Then E(X) =

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Q. The effective value of the waveform in the given figure is

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Q. Which one of following is a static system?

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Q. The Laplace transform of unit ramp function starting at t = a is

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Q. If i(t) is a time varying current, then following is

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Q. For the discrete time system of the given figure

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Q. The following signal is

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Q. If H(z) is given by following equation, the poles of H(z) are at

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Q. The function x(t) is shown in the given figure. Even and odd parts of a unit step function ∪ (t) are respectively,

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Q. Fourier transform of -jt f(t) is

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Q. DTFT (Discrete time Fourier transform) of x[n] = aⁿ∪[n] for -1 < a < + 1.

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Q. The given figure shows a discrete time system consisting of a unit delay system, a multiplier and a summer, such that y(k) = x(k - 1) + 0.5 x(k). This system

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Q. The joint probability function of two discrete random variable X and Y is given below.
Then E(y) is

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Q. The joint probability function of two discrete random variable X and Y is given below.
Variance σ² will be

[Hint: σ² = E(X²) - μ² ⇒ E(X²) - (E(X))²]

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Q. A probability density function is given by p(x) = Ke^(-x²/2) for -∞ < x < ∞ , The value of K should be

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Q. The Laplace transform of f(t) is

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