Question

i) Discuss how the integral (area under the plot) differs from the true area (A) as a function of n, by plotting the residuals (i.e.y-y) in the ranget-0.0 to 0.3 for n-1,2,5,20 i)If y(t) is the shape of the function and y,(t) is the estimator given by summing the Fourier series to order n make a plot to show (H, will have to be computed numerically). Why is H, more useful than the integral under the plots (residuals determined in step ii) in estimating goodness of fit ? Make sure your numerical integration is suitably sensitive ie. the step size At you chose is appropriate and explain how you chose it Estimate the value of n you will need to get a better than 0(0.01%) deviation from the total area as determined by taking H.Call this value of n-m. iv) At what time(s) is the biggest deviation if y-from y at n-1,5,20

Answer 1

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