Signals and Systems - ECE Questions and Answers

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For the discrete time system of the given figure

y_k = 0.5 u_{k - 2} - u_k - 0.25 y_k - 1

y_k = 0.5 u_k_{- 1} - u_k - 0.25 y_k - 1

y_k = 0.5 u_k - u_k_{- 1} - 0.25 y_k - 1

y_k = 0.5 u_k_{- 1} - u_k_{- 1} - 0.25 y_k - 1

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The signal is

periodic for t > 0

non-periodic

periodic for t < 0

depends on t

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

True

False

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If the poles of H(z) are at

z = 1 and z = 3

z = -1 and z = -3

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Which one is a non-causal system?

y(n) = x(2n)

y(n) = x(n/2)

y(n) = x(n/2) + x(n)

all

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A linear system is characterized by H(ω) = Be^-2ω² the system is physically

unrealizable

realizable

depends upon B

depends upon constant 2

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The current in a circuit with 10 Ω resistance is i = 3 + 4 sin (100 t + 45°) + 4 sin (300 t + 60°) A. The rms current and power dissipated are

41 A and 410 W

35 A and 350 W

5 A and 250 W

11 A and 1210 W

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Fourier transform pair are

autocorrelation and power spectral density

autocorrelation and convoloution

convolution and power spectral density

autocorrelation and energy

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