کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633063 1340661 2009 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical differentiation with noisy signal
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical differentiation with noisy signal
چکیده انگلیسی

The aim of this paper is to present a new numerical method, which ables one to filter and compute numerical derivatives of a function whose values are known in some points from experimental measurements, inducing noisy data. We use a piecewise cubic spline interpolation to generate a function whose Fourier coefficients give an approximation of the numerical derivatives we are looking for. Error and stability analysis of this numerical algorithm are provided. Numerical results are presented for data smoothing and for the first and second derivatives computed from noisy data. They show that this method gives good numerical results. Comparison with other methods is done.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 6, 15 November 2009, Pages 2283–2297
نویسندگان
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