Trying to solve a four variable equation for a range of values

Hello, I am trying to solve a noise parameter equation:

eqn1 = F == Fmin + ((4*Rn)/Z0)*((abs(gammas-gammaopt))^2/(abs(1+gammaopt)^2*(1-abs(gammas)^2)));

I have values for Fmin, Rn, gammas and gammopt (with Z0 being a constant).

My question is, how do I input a range of values for these variables and output a range of values for F?

Sorry if this is a relatively easy question, but I am quite new with Matlab and have been spending most of my time trying to input a range of values from ADS.

[David Hill]

Are your range of values for Fmin, Rn, gammas, and gammopt coorelated (i.e, Fmin(1) goes with Rn(1), etc.)?

[Ebrahim Soujeri]

Hello

If you want to calculate F with respect to the variation one variable at a time (fixing other variables), you make a vector of that variable, and run your formula using the notation .* instead of * and .^2 instead of ^2

For example,

suppose that Rn has a range of -3 to +5 with intervals of 0.01

in Matlab you state:

Rn = -3 : 0.01 : 5;

Otherwise, you can construct a nested (for loop) that will produce a value for F, scanning the range of your input parameters.

Post an image of your formula here if you still need help.

[Freddie Hoare]

syms gammas Z0 Fmin Rn gammaopt gammasreal gammasimag gammaoptreal gammaoptimag

F=sym ('F', [1 11])

gammaoptreal = [-0.605, -0.646,-0.682 ,-0.713,-0.736,-0.756,-0.774 ,-0.789,-0.802,-0.814,-0.825];

gammaoptimag= [0.489,0.462,0.439,0.417,0.394,0.375,0.357,0.340,0.325,0.311,0.298];

gammasreal= [-0.819,-0.820,-0.820,-0.821,-0.822,-0.822,-0.822,-0.822,-0.823,-0.823,-0.823];

gammasimag=[-0.406,-0.407,-0.408,-0.409,-0.409,-0.410,-0.410,-0.411,-0.411,-0.411,-0.412];

Z0 = [50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100];

Fmin = [3.922, 3.901,3.973 ,4.057,4.018,3.991,3.973,3.960,3.951,3.945,3.941];

Rn = [21.801, 21.847, 22.880, 23.992, 23.609, 23.336,23.155 , 23.026, 22.937,22.876 ,22.842];

gammas=complex(gammasreal, gammasimag)

gammaopt = complex(gammaoptreal, gammaoptimag)

solveF=F == Fmin + ((4*Rn)/Z0)*((abs(gammas-gammaopt).*abs(gammas-gammaopt)) /(abs(1+gammaopt).*abs(1+gammaopt) .*(1-abs(gammas).*abs(gammas) )));

% gammas = s_11 F = noise factor gammaopt = sopt Rn == noise

% resistance

Hi there, sorry I have taken so long to respond. Hope you are still available to help with this!

The values are all 1*11 arrays.

Answer 1

[David Hill]

If you want all possible combinations, then use ndgrid.

Z0=1.5;
Fmin=0:10;
Rn=1:20;
gammas=-10:1;
gammopt=13:.1:20;%I have no idea what these values are, just examples
[Fmin,Rn,gammas,gammopt]=ndgrid(Fmin,Rn,gammas,gammopt);%creates all possible combinations
F = Fmin(:) + (4*Rn(:)/Z0.*(gammas(:)-gammaopt(:)).^2)./((1+gammaopt(:)).^2.*(1-gammas(:).^2));
F=reshape(F,size(Fmin));%shapes F to same size as other matrices