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0.3 The channel

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After transmission our signal enters the acoustic channel, join us as we witness what unfolds

The channel

To characterize the channel, we input an impulse by recording the tapping of the mic with our fingers. We then played that sound through the speaker and recorded the response with the mic. The signal is below, along with its spectrum.

Impulse response of the channel and its spectrum

impulse
These graphs characterize the channel that we are transmitting through

We did this in preparation for the receiving end of the system to divide the received signal’s FFT by the impulse response’s FFT.

Below are plots of our transmitted and received signals, along with their spectrums. You will notice a great similarity between the signals in time, however a distinct difference in frequency. Unfortunately, this loss in frequency will translate to a loss of information.

Transmitted and received signals in the time domain

signals
These are the signals in time that we transmitted (green) and that we received (red). As you can see they look very similar, and take it from us, they also sound similar.

Transmitted and received signal spectrums

spectrum
The green spectrum is of the signal we transmitted, and the red is the spectrum of the signal we received. We see a much bigger visual difference than we did in the time domain.

Above are plots for our transmitted and received signals. Here we used a block length of half the duration of the signal and sent it through the air at 44.1 kHz.

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Source:  OpenStax, Discrete multi-tone communication over acoustic channel. OpenStax CNX. Dec 16, 2009 Download for free at http://cnx.org/content/col11146/1.1
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