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Baldwin explains how the Fourier transform can be used to determine the spectral content of a signal in the time domain.

Revised: Fri Oct 16 23:16:39 CDT 2015

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Preface

Programming in Java doesn't have to be dull and boring. In fact, it's possible to have a lot of fun while programming in Java. This module is onein a series that concentrates on having fun while programming in Java.

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Figures

Multiply-add operations

This module deals with a topic commonly know as Digital Signal Processing, (DSP for short) .

Computational requirements for DSP

The computational requirements for implementing DSP in a computer program are usually straightforward. Almost all DSP operations consist of multiplyingcorresponding values contained in two numeric series and then calculating the sum of the products. Sometimes, the final sum is divided by the total number ofvalues included in the sum to produce an average. This is often referred to as a sum-of-products or multiply-add operation .

(This is the digital equivalent of integrating the product of two continuous functions between specified limits.)

Typical notation

Such an operation can be indicated by the symbolic notation shown in Figure 1 (where the strange looking thing constructed of straight lines is the Greek letter sigma) .

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Source:  OpenStax, Digital signal processing - dsp. OpenStax CNX. Jan 06, 2016 Download for free at https://legacy.cnx.org/content/col11642/1.38
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