Chapter | twenty-five

 

Fast Fourier Transformation

 

CHAPTER OUTLINE

Periodic Signals

FFT analysis

Data Window Functions

Overlap

Other Analyses Based on FFT

Inverse FFT

Digital Filters

Background

 

FFT is an acronym for “Fast Fourier Transformation.” The purpose of a Fourier Transformation is to transform waveform (impulse response/waveform) into frequency. This is a common methodology which is implemented in many kinds of audio software.

PERIODIC SIGNALS

The basis for the Fourier transformation is the fact that every (infinite) periodic signal can be described by an infinite harmonics series (cf. Chapter 4, “Signal Types”).

The signal can be resolved into a set of constituents based upon the fundamental frequency. Each of these constituents ...

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