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Signals-and-systems Questions Set 26:

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What is the inverse Laplace transform of 1/(s-a)?

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Which passive component performs the differentiation operation?

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The equation y(t) = a x(t) + b represents which type of system?

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A system is memoryless if the output at time t (or n) depends only on the input at time t.

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What is the equation X(t) = ∑Xnejnωt called?

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Which of the following properties should be satisfied by a linear time-invariant (LTI) system?

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Consider the signal y(t) = 2sin(2π50t) + 5cos(4π50t) + cos(2π60t)²

Calculate the minimum frequency at which y(t) should be sampled to avoid aliasing.

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The signal x(t) = 3cos(200t+π/6) is passed through a square-law device.

Which of the following statements is true?

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What is the Region of Convergence (ROC) of the Z-transform of a two-sided, infinite duration signal?

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The Discrete Fourier Transform (DFT) of a sequence x(n) is given by X(k) = {4, 1+2j, j, 1-3j}. Find the original sequence x(n).

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