I don't need the whole thing solved, just need an idea of where I would start with each step such as building the circuit and coding in MATLAB.

Build an FFT with the Arduino Nano which will sample audio signals from a source and display the detected musical note on 8 different LEDs, ignoring sharps and flats. The range of notes will be middle C (261.626 Hz) to high C (523.251 Hz). Any unamplified instrument may be used, a cell phone can be used to play a test sequence of musical notes, or the included LM386 can be connected to the Arduino to provide testing tones.

Requirements

- Each of the 8 notes, reasonably in tune (+/- 5%) , must turn on only one LED. Computation can be performed on the Arduino or in MATLAB, but the LEDs must be controlled by the Arduino.

- The audio source must be more than 10 feet away from the audio amplifier microphone supplied in the 341 kit.

- Audio amplifier must have a signal with more than 1 volt of amplitude when stimulated with an audio source.

- Audio amplifier must have less than 0.2 volts of amplitude when not stimulated with an audio source.

- More than 20 samples must be acquired for the detected period.

- At least 3 periods of acquired audio data must be graphed in MATLAB. This is not required to be done during a live session. CSV data can be recorded and then post processed for this requirement.

- Compute the SNR (Signal to Noise Ratio) of the sampled audio signal in MATLAB. The SNR must be at least 20.

- Plot the spectrum of Power vs Frequency in MATLAB. Plot at least 3 harmonics of the signal on the frequency graph.