
WaveRider Operating Manual
51
Copyright 1997-2004 Jonathan Purcell
All Rights Reserved
FFTS, DIGITAL FILTERS AND SIGNAL PROCESSING
The Fast Fourier Transform (FFT) is a mathematical prism. Just as a prism splits white light
into its component colors, an FFT splits a signal into its component frequencies. Another
perspective is that the FFT sorts a signal into a set of frequency bins. The WaveRider's FFT
sorts a signal into frequency bins one hertz wide.
An FFT takes a window or set of data points and converts this time window of data into a set
of frequencies. The input data is considered to be in the "time domain," the output data is in
the "frequency domain." The WaveRider uses a one second window. In the slow bars mode a
new window is begun every .25 seconds.
A digital filter performs a transfer function consisting of a collection of stop and pass bands.
Pass bands let specific frequencies pass. Stop bands stop certain frequencies from passing.
Most digital filters used in WaveWare have three bands, two stop bands and a pass band in
the middle. A digital filter also uses a window of data points. Unlike the FFT this window is
recalculated every time a new data point comes in. This makes digital filters much more
responsive to signal variations than FFTs.
Comentarios a estos manuales