How to solve complex equations in matlab.?

34 views (last 30 days)
Abin Krishnan on 18 Feb 2014
Edited: John D'Errico on 18 Feb 2014
I have an equation Y=-(1-R)/(1+R); where both Y and R are imaginary. Given the real and imaginary parts of Y (e.g - (0.6,0) ),how to obtain the amplitude and argument of R?
John D'Errico on 18 Feb 2014
Um, are both Y and R imaginary, or are they complex? Your example has Y as a REAL number, not imaginary at all.

Carlos on 18 Feb 2014
I think he wants to actually solve the equation, so perhaps he is looking for something like this
>> syms R;
Y=-(1-R)/(1+R)-0.6;
solve(Y,R)
ans =
4

John D'Errico on 18 Feb 2014
Edited: John D'Errico on 18 Feb 2014
The simple rules of algebra suffice.
As long as R ~= -1 and Y ~= 1, we can solve for R in terms of Y. I suppose the symbolic toolbox would do it if you are that algebraically challenged. I don't wish to do your homework for you, but I would start by multiplying by (1+R), thus the issue with R == -1.
Solve for R. Note that in your example as posed with real Y, the solution will always be real IF one exists. Here I get R = -7/5.
R = -7/5;
-(1-R)/(1+R)
ans =
6