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Reference.org
Trigonometric interpolation
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, trigonometric interpolation is <a href="/facts/Interpolation/8PyetX4f">interpolation</a> with <a href="/facts/Trigonometric_polynomial/K2FEr7Ic">trigonometric polynomials</a>. Interpolation is the process of finding a function which goes through some given <a href="/facts/Data_points/IFEDysRP">data points</a>. For trigonometric interpolation, this function has to be a trigonometric polynomial, that is, a sum of <a href="/facts/Trigonometric_function/czej7ur0">sines and cosines</a> of given periods. This form is especially suited for interpolation of <a href="/facts/Periodic_function/Sm8lJQsF">periodic functions</a>. </p><p>An important special case is when the given data points are equally spaced, in which case the solution is given by the <a href="/facts/Discrete_Fourier_transform/uK9Tjsbl">discrete Fourier transform</a>. </p>