MATLAB Code
%Jacob Pfister %HW1.1 clear clc delta = 1/44100; sec = 1/delta; i = 1; %a) Hail, Hail to old Purdue for t = 0:delta:0.5 y(i) = sin(2*pi*264*t); i = i + 1; end for t = (0.5 + delta):delta:0.75 y(i) = sin(2*pi*297*t); i = i + 1; end for t = (0.75 + delta):delta:1 y(i) = sin(2*pi*330*t); i = i + 1; end for t = (1 + delta):delta:1.5 y(i) = sin(2*pi*352*t); i = i + 1; end for t = (1.5 + delta):delta:1.625 y(i) = sin(2*pi*396*t); i = i + 1; end for t = (1.625 + delta):delta:1.75 y(i) = sin(2*pi*440*t); i = i + 1; end %b) 2 Times faster for t = (1.75 + delta):delta:2 y(i) = sin(2*pi*264*t); i = i + 1; end for t = (2 + delta):delta:2.125 y(i) = sin(2*pi*297*t); i = i + 1; end for t = (2.125 + delta):delta:2.5 y(i) = sin(2*pi*330*t); i = i + 1; end for t = (2.5 + delta):delta:3 y(i) = sin(2*pi*352*t); i = i + 1; end for t = (3 + delta):delta:3.0625 y(i) = sin(2*pi*396*t); i = i + 1; end for t = (3.0625 + delta):delta:3.125 y(i) = sin(2*pi*440*t); i = i + 1; end %c) y(t) = x(2t) for t = 3.125:delta:3.625 y(i) = sin(4*pi*264*t); i = i + 1; end for t = (3.625 + delta):delta:3.875 y(i) = sin(4*pi*297*t); i = i + 1; end for t = (3.875 + delta):delta:4.125 y(i) = sin(4*pi*330*t); i = i + 1; end for t = (4.125 + delta):delta:4.625 y(i) = sin(4*pi*352*t); i = i + 1; end for t = (4.625 + delta):delta:4.75 y(i) = sin(4*pi*396*t); i = i + 1; end for t = (4.75 + delta):delta:4.875 y(i) = sin(4*pi*440*t); i = i + 1; end %play sound(y,44100); %write file wavwrite(y,44100,32,'HailPurdueRemix.wav');
Sound File
HailPurdueRemix_ECE301Fall2008mboutin.wav
Comments
I'm not sure I got the the lengths of the different notes exactly right, but it' pretty close. The transformation y(t) = x(2t) doubles the frequency, which effectively bumps the tune up an octave. This result is demonstrated in the sound file above.