I've got a homework question for my signals and systems class.
In the question, we're given the graph of the magnitude and the phase of a continuous signal. Here are the graphs:
I have to find the real continuous function x(t) based on the magnitude and phase given.
I found this formula on the internet:
I figure I just need to find the function for the magnitude and phase then I insert it into the formula to figure out the real continuous signal.
My problem is that I'm confused as to how to find the function for the magnitude and phase.
I figured out how to find the function for the magnitude, but I still don't know if it's correct or not:
As you can see, I already wrote the function for |X(jw)|, but I haven't figured out the function for the phase. For the function |X(jw)|, I figured it out from this formula:
To sum up:
- Am I already on the correct path to find the real continuous signal x(t)?
- If I'm already on the correct path, how do I find the function for the phase?
- Is the function for the magnitude already correct?