Curve Fitting in Least-Square Method and Its Realization with Matlab
Sun Hai-zhu
Abstract
Sun Hai-zhu
Abstract
Least-square curve fitting method is used to seek the changing rule of the definite measured data and its concomitant error. Fitting model is decided firstly, and the belonged class of fitting function is decided. For polynomial fitting method, polynomial was changed into fitting curves of hyperbola, S-figure curve, converse exponential curve and logarithm curve, etc. And polynomial coefficient was solved, the polynomial modulus was programmed by Matlab. Measured data was fitted and simulated with this program.
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Least-square curve fitting method is used to seek the changing rule of the definite measured data and its concomitant error. Fitting model is decided firstly, and the belonged class of fitting function is decided. For polynomial fitting method, polynomial was changed into fitting curves of hyperbola, S-figure curve, converse exponential curve and logarithm curve, etc. And polynomial coefficient was solved, the polynomial modulus was programmed by Matlab. Measured data was fitted and simulated with this program.
Key concepts: Curve fitting, Hyperbola, Polynomial and rational function modeling, Mathematics, Polynomial, Exponential function, Logarithm, Square (algebra)