High-level Plan

Pre-reqs

Sampling, Aliasing & Nyquist Theorem:

• We cannot just take continuous data and store it digitally. → discretize the samples
• The intervals at which you are collecting y-coordinates
• Aliasing: When the sampling rate is too low to the point where we cannot identify the frequency at which the signal was at

Nyquist Theorem: SR should be double the max frequency at each second (or time interval)

How are waves detected:

STFT

Z-axis (color) is the power distribution. The time bits are individually computed and summed up for the complete fourier transform.

Which segment of frequency or data should we obtain to get the most accurate image of the data?

Small time interval means that we aren’t measuring many frequencies and only including a small portion of the data (which could be bad if our stft transform is very choppy). A large time interval means that we will be integrating over more frequencies which could decrease the stft resolution.