b. A triangular wave w(t) is expressed as a piecewise function below. Solve for w'(t). Then, plot w(t) and w'(t) side by side. What can you say about the graphs? t, 0

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b. A triangular wave w(t) is expressed as a piecewise function below. Solve for w'(t). Then, plot
w(t) and w' (t) side by side. What can you say about the graphs?
t,
0 <t<1
w (t) = {-t + 2,
t - 4,
1<t< 3
3 <t< 4
c. Sampling is the reduction of continuous-time signal to discrete-time signal. What is the
sampling rate needed for a sine wave so that when it is sampled at n = 3, the value of x[n] is 0.07538.
The discretized function of a sine wave is x[n] = A sin(2nnt,). Assume A = 2.
%3D
Transcribed Image Text:b. A triangular wave w(t) is expressed as a piecewise function below. Solve for w'(t). Then, plot w(t) and w' (t) side by side. What can you say about the graphs? t, 0 <t<1 w (t) = {-t + 2, t - 4, 1<t< 3 3 <t< 4 c. Sampling is the reduction of continuous-time signal to discrete-time signal. What is the sampling rate needed for a sine wave so that when it is sampled at n = 3, the value of x[n] is 0.07538. The discretized function of a sine wave is x[n] = A sin(2nnt,). Assume A = 2. %3D
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