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This module is the first in a series of modules designed to teach you about Digital Signal Processing (DSP) using Java. The purpose of theminiseries is to present the concepts of DSP in a way that can be understood by persons having no prior DSP experience. However, some experience in Javaprogramming would be useful. Whenever it is necessary for me to write a program to illustrate a point, I will write it in Java.
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 Figures while you are reading about them.
Many physical devices (and electronic circuits as well) exhibit a characteristic commonly referred to as periodic motion .
I will use the example of a pendulum to introduce the concepts of
I will introduce you to the concept of a time series .
I will introduce you to sine and cosine functions and the Java methods that can be used to calculate their values.
I will introduce you to the concepts of period and frequency for sinusoids.
I will introduce you to the concept of radians versus cycles .
I will introduce you to the concept of decomposition by decomposing a time series into a (possibly very large) set of sinusoids, each having its own frequency and amplitude. (We will learn much more about this in a subsequent module when we discuss frequency spectral analysis.)
I will introduce you to the concept of composition , where (theoretically) any time series can be created by adding together the correct (possibly very large) set of sinusoids, each having its own frequency and amplitude.
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