Numerical Smoothing And Differentiation
An experimental datum value can be conceptually described as the sum of a signal and some noise, but in practice the two contributions cannot be separated. The purpose of smoothing is to increase the signal-to-noise ratio without greatly distorting the signal (i.e. to get rid of the noise). One way to achieve this is by fitting successive sets of m data points to a polynomial of degree less than m by the method of linear least squares. Once the coefficients of the smoothing polynomial have been calculated they can be used to give estimates of the signal or its derivatives.
Read more about Numerical Smoothing And Differentiation: Convolution Coefficients, Signal Distortion and Noise Reduction, Frequency Characteristics of Convolution Filters, Convolution and Correlation, Two-dimensional Convolution Coefficients, Applications, See Also
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