Audio Generation

With a few lines of code, we can produce sound and play it.

We will import a few tools to make this possible, including pylab for plotting and numerical work.

%matplotlib inline
from pylab import *
from IPython.display import Audio

We now set up five seconds of sound, sampled at 8000 times per second. We generate two pure tones together at 440 and 442 Hertz. This corresponds to a musical note at A above middle C. The slight difference in frequecies will cause a beating, or fluctuation of the sound at 2 beats per second.

Fs = 8000.0
Len = 5
t = linspace(0,Len,Fs*Len)
f1 = 442.0
f2 = 440.0
signal = sin(2*pi*f1*t) + sin(2*pi*f2*t) 

Audio(data=signal, rate=Fs)
            <audio controls="controls" >
                <source src="data:audio/wav;base64,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" type="audio/wav" />
                Your browser does not support the audio element.
            </audio>

We can analyse this signal with the Fourier transform. Plotting, we see the energy is concentrated need 440 Hz (and there is a mirror image in the frequency near 8000-440 Hz).

freqs = t*Fs/Len   # a list of frequencies, in Hertz
fsig = abs(fft(signal))  # Fourier transform of the signal
plot(freqs,fsig)  # amplitude versus frequency
[<matplotlib.lines.Line2D at 0x7fdb59e82358>]

png

By zooming in on the relevant part of the signal, we can see the presence of energy at the two frequencies of 440 Hz and 442 Hz.

plot(freqs[2100:2300],fsig[2100:2300])
[<matplotlib.lines.Line2D at 0x7fdb581e5940>]

png

Some note on audio in the computer.

The sound we hear with our ears are the rapid vibrations of air pressure on our eardrums, usually generated from vibrations of some object like a guitar string, drum head, or the vocal cords of a human. These sounds are represented as a function of time. In the computer, we represent this function as a list of numbers, or samples, that indicate the value of the function at a range of time values.

Usually, we sample at uniform time intervals. In the example above, we have 8000 samples per second, for a length of 5 seconds. The Shannon sampling theorem tells us that we need to sample at least as fast as twice the highest frequency that we want to reproduce.

Humans with exceptional hearing can hear frequencies up to 20,000 Hz (20 kHz). This suggests we should sample at least at 40,000 samples per second for high quality audio. In fact, a compact disk is sampled at 44100 samples per second, and digital audio tapes at 48000 samples per second.

But, since computer speakers are often of lower quality, we typically sample at lower rates like 8000, 10000, or 22050 samples per second. That give sound that is "good enough" and saves on computer memory.



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