How To calculate Q Factor and Resonance Frequency of S Parameters

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FRANCESCO MARINO
FRANCESCO MARINO 2021-2-2
编辑： Yukthi S 2024-2-28
Hey There!
I'm dealing with some .s2p files for my Degree Thesis but unfortunetely I don't know how to calculate Q Factor and Resonance Frequency of that file by using Matlab.
Can you help me, please?
Thanks In Advance

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回答（1 个）

Yukthi S
Yukthi S 2024-2-24
编辑：Yukthi S 2024-2-28
Hi Francesco
I understand that you wanted to calculate Q factor and Resonance frequency from a .s2p file using MATLAB.
The following steps can help you. Also make sure that your system has RF toolbox installed, otherwise MATLAB will throw an error.
The following code can help you to get an idea:
% Load the .s2p file using the sparameters function
s2pObject = sparameters('your_file_name.s2p');
% Extract frequency and S21 parameter
frequency = s2pObject.Frequencies;
S21 = s2pObject.Parameters(:,2,1); % S21 parameter
% Find the magnitude of S21
S21_magnitude = abs(S21);
% Find the index of the maximum magnitude of S21
[peak_magnitude, maxIdx] = max(S21_magnitude);
% Resonance frequency is the frequency at this index
resonance_frequency = frequency(maxIdx);
% Convert peak magnitude to dB
peak_magnitude_dB = 20 * log10(peak_magnitude);
% Find the frequencies where the magnitude drops 3 dB from the peak
three_dB_down = peak_magnitude_dB - 3;
idx_bandwidth = find(20 * log10(S21_magnitude) >= three_dB_down)
% Bandwidth is the difference between the upper and lower frequency limits
bandwidth = frequency(max(idx_bandwidth)) - frequency(min(idx_bandwidth));
% Calculate the Q factor
Q_factor = resonance_frequency / bandwidth;
% Display the results
fprintf('Resonance Frequency: %f Hz\n', resonance_frequency);
fprintf('Q Factor: %f\n', Q_factor);
Hope this helps.

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