# 3 Accuracy of Sampling Let us sample the function gt)cos(2fo) at sampling interval dt- 1, for...

###### Question:

3 Accuracy of Sampling Let us sample the function gt)cos(2fo) at sampling interval dt- 1, for frequency values of f 0,0.25,0.5,0.75, 1.0 hertz. In each case, plot on the screen the points of the resulting time series (as isolated red crosses) to see how well it approximates g(t) (plotted as a blue-dotted line, try a very small dt fine sampling). Submit only plots for frequencies of 0.25 and 0.75 Hertz, use xlabel, ylabel, title commands to annotate each plot. For each frequency that you investigated, do you think the sampling time series is a fair representation of the original time series g )? What is the apparent frequency for the sampling time series? (Figure out after how many points (N) the series repeats itself, then the apparent frequency 1/(N*dt). You can do this either mathematically or by inspection. A flat time series has apparent frequency = 0.) Can you guess with a sampling interval of dt = 1 , what is the maximum frequency f of g() such that it can be fairly represented by the discrete time series? (Please attach your Python code.)

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