How toverifying Simulated Noise Figure and Numerically calculated Noise Figure(NF)

Dear Sir,
I have taken the Avago ATF54143 transistor and designed low noise amplifier (LNA), simulated S-parameter and Noise Figure values at 1GHz as follows
S11= 0.581(Mag) and 19.2444(Angle), S21=10.412(Mag) and 179.792(Angle),S12=0.046(Mag) and 139.669(Angle),S22=0.363(Mag) and 51.049(Angle),NF(Noise Figure) = 0.543dB, NFmin=0.36dB.

At 1GHz , transistor ATF54143 has the following noise parameters

Fmin= 0.22dB, Γopt(Gamma Optimum)=0.32(Mag)67.6(Angle), Rn/50= 0.04.

Numerically , we can calculate Noise Figure (NF) using following attachment formula

My question is, how to calculate numerically Noise Figure (NF or 'F' in the attached formula) and Γs( Gamma S). Whatever we are calculating numerical Noise Figure(NF), that should be closer to the simulated noise using the S-parameters as NF=0.543dB. I kindly request someone help me , how to numerical calculated Noise Figure as closer to the simulated noise figure NF=0.543dB.

Honestly I don't understand your question, you want to numerically calculate the noise figure? With the attached formula?

johnjoe Sir,
Yes, exactly what you said that is correct. I need to calculate the NOISE FIGURE numerically with the attached formula that should match with the simulated NOISE FIGURE = 0.543 dB(it is shown in the posting # 1) and which value we have to take for GAMMA S(Γs). Please can you help me sir.

Sir,
Please someone help me to resolve this difficulty.

pusparaga said:

johnjoe Sir,
Yes, exactly what you said that is correct. I need to calculate the NOISE FIGURE numerically with the attached formula that should match with the simulated NOISE FIGURE = 0.543 dB(it is shown in the posting # 1) and which value we have to take for GAMMA S(Γs). Please can you help me sir.

Click to expand...

Gamma(opt) and Fmin can be defined in two ways.Either the manufacturer measures these parameters or they can be found by computed by a SPICE type simulator using with its nonlinear model of the active device.
Becaue Fmin and Gamma(opt) are both intrinsic parameters of the active device and they can not be found easily with a simple linear models and they are depended on pretty complex intrinsic admittances and suseptances.

Sir,
What is the way to find out the numerically calculated noise figure cross verify with the simulated noise figure.

Sir,
please help me someone

Dear Sir,
I want to calculate the numerically overall noise figure of circuit "F"( it is shown in the attached formula of the posting #1) using S-parameters, Gamma(opt), noise resistance(Rn), and Fmin of the transistor.

Dear Sir,
Some one can help to resolve this problem.

pusparaga said:

Dear Sir,
Some one can help to resolve this problem.

Click to expand...

As you have manufacturer's data sheet showing the optimum noise-matching parameters, you were able to ESTIMATE circuit parameters.
For noise figure as low as <1 dB, then you have to build and test the circuit. Make the noise matching circuit variable (inductor and capacitor), and use a calibrated noise-figure meter inside of a screened room to optimize your LNA.
You can spend time by modeling and calculations but adjusting the real circuit is the only proof.