(b) Consider the following idea for avoiding large recursion depths in QuickSort. Run QuickSort as usual, but when the recursion depth reaches 3 times the ideal depth at a certain sub-problem, solve that sub-problem directly using MergeSort instead of recursively calling QuickSort. The ideal recursion depth is the depth achieved when the partitioning is perfectly balanced. 1. Modify the above QuickSort pseudo-code to implement this idea. You will need to show the initial call to QuickSort. Assume that you have a MergeSort routine ready for you to use; so, you only call it. Don’t rewrite big blocks of code that do not incur any change; just indicate that they remain the same.

Now you’re on your own. include a short summary of this section with plots in your lab report. write a matlab script file to do steps (a) through (d) below. include a listing of the script file with your report. 1 the soundsc(xx,fs) function requires two arguments: the first one (xx) contains the vector of data to be played, the second argument (fs) is the sampling rate for playing the samples. in addition, soundsc(xx,fs) does automatic scaling and then calls sound(xx,fs) to actually play the signal. mcclellan, schafer, and yoder, dsp first, 2e, isbn 0-13-065562-7. prentice hall, upper saddle river, nj 07458. c 2015 pearson education, inc. 4 mcclellan, schafer and yoder, signal processing first. prentice hall, upper saddle river, new jersey, 2003. c 2003 prentice hall. (a) generate a time vector (tt) to cover a range of t that will exhibit approximately two cycles of the 4000 hz sinusoids defined in the next part, part (b). use a definition for tt similar to part 2.2(d). if we use t to denote the period of the sinusoids, define the starting time of the vector tt to be equal to t , and the ending time as ct . then the two cycles will include t d 0. finally, make sure that you have at least 25 samples per period of the sinusoidal wave. in other words, when you use the colon operator to define the time vector, make the increment small enough to generate 25 samples per period. (b) generate two 4000 hz sinusoids with arbitrary amplitude and time-shift. x1.t / d a1 cos.2