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Revised: Fri Oct 16 23:12:34 CDT 2015
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This is one in a series of modules designed to teach you about Digital Signal Processing (DSP) using Java. The purpose of the miniseries is topresent the concepts of DSP in a way that can be understood by persons having no prior DSP experience. However, some experience in Java programmingwould be useful. Whenever it is necessary for me to write a program to illustrate a point, I will write it in Java.
In a previous module, I explained the meaning of sampling, and discussed some of the problems that occur as a result of high-frequency componentsin the analog signal.
Measure and record the signal amplitude
I told you that to sample an analog signal means to measure and record its amplitude at a series of points in time. The values that you record constitute a sampled time series intended to represent the analog signal.
Avoiding frequency folding
I told you that to avoid problems, the sampling frequency must be a least twice as great as the highest frequency component contained in the analogsignal, and as a practical matter, should probably be somewhat higher.
Sinusoids, frequency, and period
I introduced you to sinusoids, taught you about sine and cosine functions, and introduced the concepts of period and frequency for sinusoids.
Decomposition of time series
I told you that almost everything we will discuss in this series on DSP is based on the premise that every time series can be decomposed into a largenumber of sinusoids, each having its own amplitude and frequency.
The notion of DSP
I told you that DSP is based on the notion that signals in nature can be sampled and converted into a series of numbers. The numbers can be fed into somesort of digital device, which can process the numbers to achieve some desired objective.
I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figureswhile you are reading about them.
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