- #1

- 5

- 0

**The problem statement**

Sketch the Amp spectrum of the following....

Additionally, for x3, sketch the phase spectrum...

( j is the imaginary number)

x1(t) = cos(10pi*t) + cos(3pi*t)

x2(t) = cos(10pi*t) + cos(5pi*t) - j*sin(10pi*t)

x3(t) = cos(10pi*t + (pi/6)) + j*sin(10pi*t)

**The attempt at a solution**

For x1 I am fairly certain that the plot should appear as two lines at f = 3/2 and f = 5 with A = 1 for both. I am only confident in this answer as the signal is real and not complex.

For x2 I have drawn two lines once more for f = 1/5 and f = 2/5 with respective A values of sqrt(2) and 1

For x3 I have f = 1/5 and a value of sqrt(2) for it. I have no idea how to interpret the phase spectrum.

There was considerably more to the problem, but I have completed everything but these plots, which I simply cannot find how to draw online. I found one source, but was weary as it did not explain what to do in the event of a phase shift. Does a phase shift effect the Amp spectrum?