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Signal Processing, Filtering, & Fourier Transform Page

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Tutorials An Introduction to Digital Filtering: filter.pdf This tutorial focuses on the Butterworth filter. Introduction to the Spectral Functions. The Fourier Transform and Power Spectral Density Function: spectral.pdf Fast Fourier Transform: fft.pdf   The FFT transform is based on the butterfly algorithm. Power Spectral Density Calculation via Matlab: psd_mat.pdf Guest tutorial submitted by Bob Light. Sine Function Identification and Removal.  sinefind.pdf Statistical Degrees of Freedom: statdof.pdf

DLL Files needed to run software programs

dlls.zip

Software	Executable	Source
Digital filtering using a Butterworth 6th order  filter. The user must supply an input time  history  file. Both lowpass and highpass  options are  available.	filter.exe	filter.cpp
Fast Fourier transform (FFT) of a time history. The  transform operates on a time series with 2^n  points, where n is an integer. Also, corresponding inverse FFT.	fft.exe invfft.exe	fft.cpp invfft.cpp
Conventional Fourier transform of a time series  with an arbitrary number of points.	fourier.exe	fourier.cpp
Generation of time history signals: 1. sine 2. damped sine 3. sine sweep 4. white noise 5. pink noise	generate.exe	_
First-order trend identification and removal.	trend1.exe	trend1.cpp
Second-order trend identification and removal.	trend2.exe	trend2.cpp
Cubic Spline Curve-fit:	spline.exe	spline.cpp
Integrate a time history via the trapezoidal rule.	integ.exe	integ.cpp
Differentiate a time history.	differ.exe	differ.cpp

Recommended Books Brigham, The Fast Fourier Transform and its Applications Stearns and David, Signal Processing Algorithms in Fortran and C Ken Steiglitz, A Digital Signal Processing Primer Himelblau, Piersol, et al., IES Recommended Practice 012.1: Handbook for Dynamic Data Acquisition and Analysis

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