can you help me create the program for plotting the graph of this discontinuous signal equation?

the equation is: S(t)= { 2t, 0<t<0.5 { 1/3(4-2t) 0.5<t<2 { 0 elsewhere

Answer 1

[Rick Rosson]

Please try the following steps:

1. Decide on a sampling rate Fs in samples per second, or alternatively, decide on a time increment dt in seconds per sample. Once you choose one or the other of these parameters, then compute the second parameter as the reciprocal. For example:

   Fs = 100;     % samples per second
   dt = 1/Fs;    % seconds per sample

2. Define the time domain based on the time increment, the start time, and the stop time:

   StartTime = 0;
   StopTime = 2;

   t = StartTime:dt:StopTime-dt;

3. Create two signals x and y, one for each of the two equations that you want to represent:

   x = 2*t;
   y = (4-2*t)/3;

4. Create a logical signal (valued at 0 or 1) to distinguish between the two time regions that define which of the two equations is in play:

   u = (t<0.5);

5. Create the final signal S from the two separate signals x and y, and the locical control signal u.

HTH.