3

Signal Transforms and Filtering Essentials

Abstract

This chapter presents methods towards the representation of audio signals in the frequency domain. Special emphasis has been placed on the description of the Discrete Fourier Transform because a lot of material in later chapters of this book assumes that the reader is familiar with this particular transform. Furthermore, the chapter aims at presenting the fundamentals of digital filters in MATLAB, so that, in the end of this chapter, the reader will be able to create and experiment with basic filter types and understand how they can affect the performance of various audio analysis stages.

Keywords

Discrete Fourier Transform

DFT

Fast Fourier Transform

FFT

Short-Time Fourier Transform

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