Mathematics of the Discrete Fourier Transform (DFT)

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Mathematica for Selected Plots
The Mathematica code for producing Fig. 5.1 (minus the annotations which were done using NeXT Draw and EquationBuilder from Lighthouse Design) is
    Plot[10 Sin[2 Pi 2.5 t + Pi/4],{t,0,1},
        PlotLabel->"10 Sin[2 Pi 2.5 t + Pi/4]",
        PlotPoints->500,
        AxesLabel->{" Sec", "Amp."}];
The Mathematica code for Fig. 5.2 is
Show[
    Plot[Sin[2 Pi 2.5 t],{t,-0.1,1.1},
        PlotPoints->500,
        AxesLabel->{`` Time (Sec)'', ``Amplitude''}],
    Plot[Cos[2 Pi 2.5 t],{t,-0.1,1.1},
        PlotPoints->500,
        PlotStyle->Dashing[{0.01,0.01}]
];
For the complex sinusoid plots (Fig. 5.7 and Fig. 5.9), see the Mathematica notebookComplexSinusoid.nbon Craig Sapp's web pageof Mathematica notebooks. (The packageSCMTheory.mis required.)
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