### Simple Sinusoids

There are four sounds to study. First listen to each of them without knowing what they are.

Did you notice that they all had the same pitch, but they sounded different. Why is it?

Let's look at each in the time domain (i.e. plotted vs. time.)

### Plot Sounds in Time Domain

Listen to each of the signals again by clicking on the waveform.

Do they sound like they are the same note (pitch) ? (they should)

Do you hear a connection between the sound and the wave? (I don't)

Maybe the time-domain waveform isn't the best way to get such a connection.

### Plot Sounds in Frequency Domain

Another way to view the sounds is in the frequency domain. This is done by breaking the signal into many parts and computing the spectrum of each part. The spectra are plotted with a dark component representing a strong spectral component and white meaning no energy.

Listen to each of the signals again by clicking on the waveform.

Do they sound like they are the same note (pitch) ? (they should)

Do you hear a connection between the sound and the wave? (I don't)

Maybe the time domain waveform isn't that best way to get such a connection.

Did you notice that none of spectra changed with time? The bars were constant with time.

### Plot Noise vs. time and frequency

Even complicated sounds such as the following can be represented in the frequency domain:

This sound is noisy and harsh to the ear. It turns out that this signal contains all frequencies with equal power and is, therefore called "white noise."

You can listen to the signal again by clicking on plots.

Does the spectrogram show any dominant frequency?
(No, it appears to have more or less the same gray color throughout.)

Notice that the time waveform is unpredictable, i.e., random.
It can be synthesized in MATLAB with the randn(m,n) function.