How do i convert from Complex numbers(a+bi) to a polar form(r,theta) ?

I am writing a script for my microwave amplifier design . I need to convert from the polar form to complex numbers and vice versa . Does Matlab support this function ?

Thank you.

Answer 1

[Azzi Abdelmalek]

x=2+3j
rho=abs(x)
theta=angle(x)
%-------------------
x=rho*exp(j*theta)

[Xuanjun Gong]

There is an error for using rho*exp(j*theta) about dimensionality.

It might solve the issue by using:

`x=rho.*exp(j*theta)`

Answer 2

[Mischa Kim]

Hello Pradeep, use http://www.mathworks.com/help/matlab/ref/cart2pol.html. You can also find the reverse transformation there.

a = 1 + 2i;
[theta, rho] = cart2pol(real(a), imag(a))

[Felicia Chiew Pei Wan]

how to display " [theta,rho]" in command window? thanks

[Stephen23]

fprintf('[%g,%g]\n', theta, rho)

[Felicia Chiew Pei Wan]

I can display the s-parameters in a+bi form. However, I would like to convert it to polar form with this kind of arrangements.

Arrangement (in polar form) S11 S21 (S11 AND S22 IN SAME LINE) S12 S22(S12 AND S22 IN NEXT LINE)

On the other hand, "[theta, rho] = cart2pol(real(a), imag(a))". Based on this command, the angle we got is not right. Have to multiple by 180/pi. Any idea on this? Thank you.

[Stephen23]

"Based on this command, the angle we got is not right": actually this angle is perfectly correct, according to the cart2pol documentation. If you want to convert correct and documented radians to some other angle unit, then this is up to you.

Answer 3

[Youssef Sherif]

Io_polar = sprintf('Io_polar = %.3f ∠ %.3f°', abs(Is(1,1)), rad2deg(angle(Is(1,1))))