Signals and Systems - ECE Questions and Answers

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The inverse Fourier transform of the function F(ω) = is

sin ωt

cos ωt

sgnt

u(t)

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Let f₁(t) = G₁(t) + 4, f₂(t) = G₂(t) + 3. If G₁(t) and G₂(t) are uncorrected then the correlation between f₁(t) and f₂(t) are

zero

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If p is the probability of success and q is the probability of failure, then the probability that there are r successes in n trails is

ⁿc_r p^r qⁿ ^- ^r

ⁿc_r p^{n -} ^r q^r

ⁿc_r p^r qⁿ ⁺ ^r

ⁿc_r pⁿ qⁿ ^{- r}

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ROC of sequence x[n] = δ[n] is

Not exist

z = 0

Entire Plane

Entire Plane expect z = 0, z = ∞

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The Z.T. of sequence x[n] = aⁿ ∪ [n] is

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The unit step response of a system is (1 - e^at) u(t). Then its impulse response is

e^{- at} u(t)

^ae^{- at} u(t)

^{- a}e^{- at} u(t)

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The output of a linear system for any input can be computed in which of the following ways?

Only by summation of inpulse response by convolution integral

Only by summation of step response by superposition integral

Neither a nor b

Either (a) or (b)

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The inverse Laplace transform of 1/(s - a)² is

e^at

t e^at

t² e^at

e^at/t

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If f(t) = sgn(t), F(jω)