Nonlinear model fitting for ln(dN/dh)_max
Versione 1.0.0 (57 KB) da
Godfrey Ojerheghan
Non linear Regression of ionospheric data
In_dHdh_max = 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%% ================================
% Nonlinear model fitting for ln(dN/dh)_max
% ================================
% --- Ensure all data are double ---
ln_dNdh_max = double(ln_dNdh_max);
foF2 = double(foF2);
M3000F2 = double(M3000F2);
theta = double(theta);
% --- Match lengths of all variables ---
minLen = min([length(ln_dNdh_max), length(foF2), length(M3000F2), length(theta)]);
ln_dNdh_max = ln_dNdh_max(1:minLen);
foF2 = foF2(1:minLen);
M3000F2 = M3000F2(1:minLen);
theta = theta(1:minLen);
% --- Prepare X (independent variables) and Y (dependent variable) ---
X = [foF2(:), M3000F2(:), theta(:)];
Y = ln_dNdh_max(:);
% --- Initial parameter guess [a, b, c, d, e] ---
params0 = [1, 1, 1, 1, 0.1];
% --- Define model function ---
modelFun = @(params, X) ...
params(1) + params(2).*log(X(:,1)) + params(3).*log(X(:,2)) + params(4).*cos(params(5).*X(:,3));
% --- Fit using lsqcurvefit ---
lb = [-Inf, -Inf, -Inf, -Inf, -Inf];
ub = [ Inf, Inf, Inf, Inf, Inf];
options = optimoptions('lsqcurvefit', 'Display', 'iter');
params_est = lsqcurvefit(modelFun, params0, X, Y, lb, ub, options);
% --- Predicted values ---
Yfit = modelFun(params_est, X);
% --- Evaluate model performance ---
residuals = Y - Yfit;
SSres = sum(residuals.^2);
SStot = sum((Y - mean(Y)).^2);
R2 = 1 - SSres/SStot;
% --- Display results ---
disp('Estimated parameters [a b c d e]:');
disp(params_est);
disp(['R-squared: ', num2str(R2)]);
% --- Plot Observed vs Fitted ---
figure;
scatter(Y, Yfit, 'filled');
xlabel('Observed Y');
ylabel('Fitted Y');
title('Observed vs Fitted ln(dN/dh)_{max}');
grid on;
refline(1,0);
Cita come
Godfrey Ojerheghan (2025). Nonlinear model fitting for ln(dN/dh)_max (https://it.mathworks.com/matlabcentral/fileexchange/182329-nonlinear-model-fitting-for-ln-dn-dh-_max), MATLAB Central File Exchange. Recuperato .
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