Question

Write a MATLAB function called generateMelody which generates a signal x[n] from a list of notes, their frequencies, and durations.

- The function should take the sampling rate Fs in Hz, a list of notes {zi}i=1 in Hz, and the duration of each note L in seconds as inputs.
- The output x[n] signal consists of the notes played in sequence with the specified durations.
- Use the DTSIN function from Assignment 1 to generate each individual note.

Answer 1

The MATLAB function called generateMelody takes a sampling rate, list of notes, and duration as inputs and generates a sequence of notes as a signal. It uses the DTSIN function to generate each individual note.

Step-by-step explanation:

The MATLAB function called generateMelody can be implemented as follows:

1. Initialize an empty array x to store the generated signal.
2. For each note in the list of notes, calculate the duration in number of samples by multiplying the sampling rate Fs with the duration L.
3. Generate the individual note for the calculated duration using the DTSIN function.
4. Append the generated note to the array x.
5. Return the final array x as the output signal.

Here's an example implementation:

<pre>&nbsp;&nbsp;&nbsp;function x = generateMelody(Fs, notes, L)

&nbsp;&nbsp;&nbsp;x = [];

&nbsp;&nbsp;&nbsp;for i = 1:length(notes)
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;duration = round(Fs * L);
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;note = DTSIN(Fs, notes(i), duration);
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x = [x, note];
&nbsp;&nbsp;&nbsp;end

&nbsp;&nbsp;&nbsp;end
</pre>