Frequency responses and resolving power of numerical integration of sampled data

L. P. Yaroslavsky, A. Moreno, J. Campos

Research output: Contribution to journalArticlepeer-review

Abstract

Methods of numerical integration of sampled data are compared in terms of their frequency responses and resolving power. Compared, theoretically and by numerical experiments, are trapezoidal, Simpson, Simpson-3/8 methods, method based on cubic spline data interpolation and Discrete Fourier Transform (DFT) based method. Boundary effects associated with DFT- based and spline-based methods are investigated and an improved Discrete Cosine Transform based method is suggested and shown to be superior to all other methods both in terms of approximation to the ideal continuous integrator and of the level of the boundary effects.

Original languageEnglish
Pages (from-to)2892-2905
Number of pages14
JournalOptics Express
Volume13
Issue number8
DOIs
StatePublished - Apr 2005

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