Chapter 10.3, Problem 3CP

Plot the least squares trigonometric approximation function of orders $m=n/2$

, $n/4$

, and $n/8$, along with the vector x containing the first $2^{14}$ sound intensity values from MATLAB’S handel sound file. (This covers about 2 seconds of audio. The MATLAB code dftfilter can be used with $p=n$

. Make three separate plots.) Use the MATLAB sound command to compare the original with the approximation. What has been lost?