CS 100 M Lecture 23

# CS 100 M Lecture 23 - 23 Working with Sound Files Cont'd...

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23. Working with Sound Files Cont’d Frequency Computations Touchtone Phones

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Let’s Understand Frequency
A Sinusoidal Function () t t y ω π 2 sin ) ( = = the frequency Higher frequency means that y(t) changes more rapidly with time.

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0 0.2 0.4 0.6 0.8 1 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 omega = 4 () t t y π 8 sin ) ( =
0 0.2 0.4 0.6 0.8 1 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 omega = 8 () t t y π 16 sin ) ( =

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Digitize for Graphics % Sample “Rate” n = 200 % Sample times tFinal = 1; t = 0:(1/n):tFinal % Digitized Plot… omega = 8; y = sin(2*pi*omega*t) plot(t,y)
Digitize for Sound % Sample Rate Fs = 32768 % Sample times tFinal = 1; t = 0:(1/Fs):tFinal % Digitized sound… omega = 800; y = sin(2*pi*omega*t) sound(y,Fs)

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Equal-Tempered Tuning 0 A 55.00 110.00 220.00 440.00 880.00 1760.00 1 A# 58.27 116.54 233.08 466.16 932.33 1864.66 2 B 61.74 123.47 246.94 493.88 987.77 1975.53 3 C 65.41 130.81 261.63 523.25 1046.50 2093.01 4 C# 69.30 138.59 277.18 554.37 1108.73 2217.46 5 D 73.42
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CS 100 M Lecture 23 - 23 Working with Sound Files Cont'd...

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