Microwave engineering problem

Matlab touchstone.m file is giving me issues due to inconsistent matrix dimensions. The first row of my 3-D array table displays the S parameters. What I am confused about is how to enter the minimum noise figure, the optimum reflection coefficient, and the difference between the minimum noise figure and the required noise figure. These are their respective values:

Fmin=1.6dB

r_opt=0.62*exp(j*100*pi/180)

Noise figure delta = 0.4 dB

How do I enter the minimum noise figure, the optimum reflection coefficient, and the noise figure delta in a second row to be consistent with the matrix dimensions of the first row shown below? First row has the S parameters.

S11=0.6*exp(-j*60*pi/180) S12=0.05*exp(j*26*pi/180); S21=1.9*exp(j*81*pi/180) S22=0.5*exp(-j*60*pi/180)

S(:,:,1) = [0.6*exp(-j*60*pi/180) 0.05*exp(j*26*pi/180); 1.9*exp(j*81*pi/180) 0.5*exp(-j*60*pi/180)];

The following table is how these parameters are supposed to be in a touchstone file, but I am uncertain of how to create the second row for consistent matrix dimensions. The problem statement is also shown below, along with a typical touchstone file.3-D matlab array with S parameters

S(:,:,1) = [0.80*exp(-j*89*pi/180) 0.03*exp(j*56*pi/180); 2.86*exp(j*99*pi/180) 0.76*exp(-j*41*pi/180)];
>> S(:,:,2) = [0.72*exp(-j*116*pi/180) 0.03*exp(j*57*pi/180); 2.60*exp(j*76*pi/180) 0.73*exp(-j*54*pi/180)];
>> S(:,:,3) = [0.66*exp(-j*142*pi/180) 0.03*exp(j*62*pi/180); 2.39*exp(j*54*pi/180) 0.72*exp(-j*68*pi/180)];
>> fMHz = 3000:1000:5000;
>> m = touchstone2('Ex12_3M2',fMHz,S)
 

Transcribed Image Text:

! symbol freq-unit parameter-type data-format keyword impedance-ohms MHz 4000.0000 4000.0000 S 0.60000 1.6 0.62 MA -60.000 100.0 1.90000 0.4 R 50 81.000 0.05000 26.000 0.50000 -60.000 ! symbol freq-unit parameter-type data-format keyword impedance-ohms MHz 4000.0000 4000.0000 S 0.60000 1.6 0.62 MA -60.000 100.0 1.90000 0.4 R 50 81.000 0.05000 26.000 0.50000 -60.000

Answer rating: 100% (QA)

STEP 1 Create a MATLAB script that generates a Touchstone file containing Sparameter data along with additional parameters like minimum noise figure o... View the full answer