Representing graphically an analog signal?

[esmeco]

I was wondering,how do I represent graphically an analog signal components in time and frequency using an equation for example like this:

v(t)=3 + 1.414cos(w0t) - 1.414sin (w0t) + 2cos(2w0t + 5pi/2)

Thanks in advance for the reply!

 

[Andrew Mason]

I was wondering,how do I represent graphically an analog signal components in time and frequency using an equation for example like this:

v(t)=3 + 1.414cos(w0t) - 1.414sin (w0t) + 2cos(2w0t + 5pi/2)

Thanks in advance for the reply!

Calculate v(t) for different values of t. Plot the values for v(t) on the vertical axis for values of t on the horizontal axis.

AM

 

[esmeco]

But in the equation,what are the values that correspond to the amplitude and frequency?

 

[BoTemp]

It may be more enlightening to use the variable x = w0*t. x varies from 0 to 2*pi; one needn't know what w0 is. The angular frequency of the equation you wrote is w0; amplitude I'm not sure about. If you have to plot it anyway, might as well do that and find the maximum deviation from 3 (the DC value).

 

[Claude Bile]

Plotting the frequency domain is simple - just plot the Fourier transform. Because the frequency components are discrete, you will get a series of delta functions of varying heights (depending on the amplitude of each component).

Claude.