Hint: You will need to put the function in various forms. z = x + iy gives you real and complex parts x and y respectively and r*e^(ix) = rcos(x) + i*rsin(x). Also remember that e^a * e^b = e^(a+b).
Complex exponential signal?
Ive been out of school for about 15 years. I am taking a discrete course online and have this homework problem. I don't know where to start. I am working with my old diff eq books to get caught up but need help.
Given the complex exponential signal: y(t)=3*exp(j*pi/3)*exp(j*10*pi)
a) What is the imaginary part i(t)?
b)What are the frequency and period of i(t)?
c)What is the real part r(t)?
d)What is the value of r(t) at t=10ms?
e) At what time incidents does r(t) reach maximum or minimum?