Problem 6-7 Consider the sinusoid x(t) shown below: x(t) -1 -2 3 2 6-5.5-5-4.5-4-3.5-3-25-2-1.5-1-0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (seconds) (a) Write an equation for r(t), ie., r(t) = A cos(2x fol + ). Indicate the values of the amplitude, frequency, and phase for (4). (b) Suppose that the signal x(t) is sampled at a rate of fs =Hz. Sketch the samples that you would see over the interval -6<<+6. The first sample is at -6 seconds. Connect your samples with a straight line (linear interpolation). -1 -2 4 3 2 1 0 -6-5.5-5-4.5-4-3.5-3-2.5-2-1.5-1-0.50 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (seconds)

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Problem 6-7
Consider the sinusoid x(t) shown below:
x(t)
-1
-2
3
2
6-5.5-5-4.5-4-3.5-3-25-2-1.5-1-0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
t (seconds)
(a) Write an equation for r(t), ie., r(t) = A cos(2x fol + ). Indicate the values of the amplitude,
frequency, and phase for (4).
(b) Suppose that the signal x(t) is sampled at a rate of fs =Hz. Sketch the samples that you would
see over the interval -6<<+6. The first sample is at -6 seconds. Connect your samples with
a straight line (linear interpolation).
-1
-2
4
3
2
1
0
-6-5.5-5-4.5-4-3.5-3-2.5-2-1.5-1-0.50 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
t (seconds)
Transcribed Image Text:Problem 6-7 Consider the sinusoid x(t) shown below: x(t) -1 -2 3 2 6-5.5-5-4.5-4-3.5-3-25-2-1.5-1-0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (seconds) (a) Write an equation for r(t), ie., r(t) = A cos(2x fol + ). Indicate the values of the amplitude, frequency, and phase for (4). (b) Suppose that the signal x(t) is sampled at a rate of fs =Hz. Sketch the samples that you would see over the interval -6<<+6. The first sample is at -6 seconds. Connect your samples with a straight line (linear interpolation). -1 -2 4 3 2 1 0 -6-5.5-5-4.5-4-3.5-3-2.5-2-1.5-1-0.50 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (seconds)
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