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Discrete time signal to continuous time signal 
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#1
Sep2808, 06:03 PM

P: 5

1. The problem statement, all variables and given/known data
Suppose that a discretetime signal x[n] is given by the formula x[n] = 10cos(0.2*PI*n  PI/7) and that it was obtained by sampling a continuous signal at a sampling rate of fs=1000 samples/second. Determine two different continuoustime signals x1(t) and x2(t) whose samples are equal to x[n]; ie. find x1(t) and x2(t) such that x[n] = x1(nTs) = x2(nTs0 if Ts = 0.001. Both of these signals should have a frequency less than 1000Hz. Give a formula for each signal. 3. The attempt at a solution Since x[n] = 10 * cos ( 0.2 * PI * n  PI / 7) The same signal would be represented by x[n] = 10 * cos(2.2 * PI * n  PI/7) Is this assumption correct? Now I would need to convert these two x[n] equations to timedomain x(t), and I am not sure how I would go about doing this part. 


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