Buggy Code
F0 =13; T0 =1/F0; Ts = 0.07; t = 0:Ts:13*T0; x = real(exp(j*(2*pi*F0*t-pi/2))); plot(t,x)
The above MATLAB code is supposed to output 13 cycles of a 13 Hz sine wave. However, it instead outputs this:
The problem is with the sampling rate Ts. Ts is .07, and the frequency of the sine wave is 13. 1/13 is .769. A sampling rate so close to the inverse of the frequency is not going to yield enough data points to give an accurate graph. Taking a much smaller sampling rate of .005 will give a better graph of the data. Below is the graph with a sampling rate of .005, overlaid with the original graph shown by circles.
And here is the proper wave output by itself:
Here is the code to output the proper wave:
F0 =13;
T0 =1/F0;
Ts = 0.005;
t = 0:Ts:13*T0;
x = real(exp(j*(2*pi*F0*t-pi/2)));
plot(t,x)
