Spreadsheet Filtering by FFT Gaussian-based Convolution

Abstract

Filtering of digital signals is accomplished on an Excel spreadsheet using fast Fourier transform (FFT) convolution in which the kernel is either a Gaussian or a cosine modulated Gaussian. Pedagogical examples of low-pass and band-pass filtering are provided, and the practical value of the spreadsheet is illustrated with some cases involving an earthquake record generated by a folded pendulum seismometer.

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