Two periods of the sinusoid (t) = A cos(t + p) are plotted below. The value of x(0) equals 4 sin(2π/7). -21 0 as a single sinusoid. (iii) (iv) ( 0.01 0.02 y(t) 0.03 = 0.04 (i). Determine A, 2 and o. Express as an exact rational multiple of 7 in the range [0, 2π). (You may want to verify your answers by plotting the resulting sinusoid it should be identical to the one in the figure.) In what follows: A, 2 and are as found in part (i) and x[n] = x(nTs), where Ts is a suitably chosen sampling period. (ii) Using phasors, express 0.05 0.06 x(t) + 2x(t (π/4N)) - 3.) Determine all values of T, such that x[n] is constant for all n. Determine all values of T, such that x[n] = A cos((T/12)n + p).

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Two periods of the sinusoid r(t) A cos(Nt+) are plotted below. The value of x(0) equals
4 sin(2π/7).
0
0.01
as a single sinusoid.
(iii)
(iv) (
0.02
0.03
0.04
0.05
(i)
Determine A, and o. Express as an exact rational multiple of 7 in the range
[0, 2π). (You may want to verify your answers by plotting the resulting sinusoid-it should be
identical to the one in the figure.)
0.06
In what follows: A, and are as found in part (i) and x[n] = x(nTs), where Ts is a suitably
chosen sampling period.
(ii)
Using phasors, express
g(t) = x(t)+2x(t _(7/492))
3.) Determine all values of T, such that x[n] is constant for all n.
) Determine all values of T, such that x[n] = Acos((T/12)n + p).
Transcribed Image Text:Two periods of the sinusoid r(t) A cos(Nt+) are plotted below. The value of x(0) equals 4 sin(2π/7). 0 0.01 as a single sinusoid. (iii) (iv) ( 0.02 0.03 0.04 0.05 (i) Determine A, and o. Express as an exact rational multiple of 7 in the range [0, 2π). (You may want to verify your answers by plotting the resulting sinusoid-it should be identical to the one in the figure.) 0.06 In what follows: A, and are as found in part (i) and x[n] = x(nTs), where Ts is a suitably chosen sampling period. (ii) Using phasors, express g(t) = x(t)+2x(t _(7/492)) 3.) Determine all values of T, such that x[n] is constant for all n. ) Determine all values of T, such that x[n] = Acos((T/12)n + p).
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