exponential function phase reversal

I wish to know when using exponential function do i get a phase reversal of 180 degrees like -- exp(1i*0) to exp(1i*pi) or exp(1i*180)?

Answer 1

[Bjorn Gustavsson]

Try:

phi = linspace(-5*pi,5*pi,5*360+1);
Phi = angle(exp(1i*phi));
plot(phi,Phi)
grid on
set(gca,'XTick',[-2.5*360:180:2.5*360])

HTH

[Bjorn Gustavsson]

OK, so you will need to write a function that is zero for all times except for a brief period of time, in that time-period you'll have something that looks like a parabloically (exponentially, something with an increasing rate of phase-variation) and then back to zero. Preferably your function should return a vector of phases for a vector of times in. Something like:

function Phi = my_phase_variationing(t)
if t_start <= t && t < t_stop
    Phi = t.^2;
else
    Phi = 23;
end
end

Adapt after your own needs.

[Bjorn Gustavsson]

Yes. Have a look at the function-sketch I gave above. Read it think about what it does, and how it takes you halfway to what you want. Then have a think about how you can modify that sketch to make what you need for your homework. Ask yourself these questions:

• Can I use something like elseif to split up a time-vector into multiple segments?
• Can I use logical indexing to smoothly vectorize the code? Or do I perhaps need to loop over all elements in t?
• How do I get real-complex values from given phase-values?

After you've asked and answered those questions you will see that you can solve this problem rather easily. I will not write what I start to think because I start to have opinions.

HTH