The output y(t) of a linear time invariant system is related to its input x(t) by the following equationsy(t) = 0.5 x(t – td + T) + x(t - td) + 0.5 x(t – td - T)The filter transfer function H(ω) of a such system is given by

Question

The output y(t) of a linear time invariant system is related to its input x(t) by the following equationsy(t) = 0.5 x(t – td + T) + x(t - td) + 0.5 x(t – td - T)The filter transfer function H(ω) of a such system is given by

TuteeHUB · Accepted Answer

$\left( {1 + 0.5\cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}$

TuteeHUB · Answer

$\left( {1 + \cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}$

TuteeHUB · Answer

$\left( {1 + \cos {\rm{\omega }}T} \right){e^{ j{\rm{\omega }}{t_d}}}$

TuteeHUB · Answer

$\left( {1 - cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}$

1.	The output y(t) of a linear time invariant system is related to its input x(t) by the following equationsy(t) = 0.5 x(t – td + T) + x(t - td) + 0.5 x(t – td - T)The filter transfer function H(ω) of a such system is given by
A.	\(\left( {1 + \cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}\)
B.	\(\left( {1 + 0.5\cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}\)
C.	\(\left( {1 + \cos {\rm{\omega }}T} \right){e^{ j{\rm{\omega }}{t_d}}}\)
D.	\(\left( {1 - cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}\)
Answer» B. \(\left( {1 + 0.5\cos {\rm{\omega }}T} \right){e^{ - j{\rm{\omega }}{t_d}}}\)

The output y(t) of a linear time invariant system is related to its input x(t) by the following equationsy(t) = 0.5 x(t – td + T) + x(t - td) + 0.5 x(t – td - T)The filter transfer function H(ω) of a such system is given by

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