I'm trying to plot a simple function of K*Cos(w1*t)+K*Cos(W2*t)+K*Cos(W3*t) in frequency domain using Maple.
Y-axis can be the amplitude and X-axis is frequency domain in radian.
I could use Fourier transform to conver the time domain to frequency domain function.
Since the w1, w2, and w3 are undefined values, I don't know how I could draw it in symbolc way in frequency domain.
Here is my assumption for w1, w2, and w3.
w2-w1 not equal to w3-w2
They could certain frequencies in positive.
K is a positive constant.
I expect a plot as following:
| | | |
| | | |
----------|-------w1----w2--w3----------> w [Rad/sec]
As seen, w1, w2, and w3 has a different interval and
Dirac pulse at w1, w2 and w3 domain with an amplitude of K.
I have no idea how I could implement this symbolic plot in Maple.
Should I use some assumption statement? or programming??