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218 Design of Guidance and Control Systems for Tactical Missiles Orthogonal polynomial interpolation fitting uses variable spaced nodes to generate the interpo lation fitting function, which can automatically narrow the node interval where there could be a large fitting error, thus ensuring consistent fitting accuracy in the entire fitting range.
Fig. 8.92 uses orthogonal polynomials and takes 25 nodes to fit the aforementioned functions.
It can be seen that when a proper number of nodes for orthogonal polynomials is chosen, a continuous function could be parameterized accurately.
Orthogonal polynomial approximation
(b) Orthogonal polynomial fitting error
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