Signals and Systems - ECE Questions and Answers

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The F.T. X(f) of the periodic delta functions.

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Fourier transform F(jω) of an arbitrary signal has the property

F(jω) = F(- jω)

F(jω) = - F(- jω)

F(jω) = F*(- jω)

F(jω) = - F*(jω)

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The dirac delta function δ(t) is defined as

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The units of F(jω) are volt-seconds.

True

False

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Laplace transforn of sin (ωt + a) is

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A system with input x[n] and output y[n] is given as y[n] = (sin 5/6 pn) x(n) The system is

linear, stable and invertible

non-linear, stable and non-invertible

linear stable, non invertible

linear, unstable, invertible

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If f (t) is an even function, then in th form

True

False

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The output y(t) of a linear time invariant system is related to its input x(t) by the following equation y(t) = 0.5x(t - t_d + 1) + x(t - t_d) + 0.5 x(t - t_d + 7). The filter transfer function H(ω) of such a system is given by

(1 + cos ωt)e^-jωt d

(1 + 0.5 cos ωt)e^-jωt d

(1 + cos ωt)e^jωt d

(1 - 0.5 cos ωt)e^-jωt d

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unit step is a

energy signal

power signal

neither energy nor power signal

none