Sinusoids and Exponentials

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Sinusoids and Exponentials

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Sinusoids and Exponentials

This chapter provides an introduction to sinusoids, exponentials, complex sinusoids, $t_{60}$, in-phase and quadrature sinusoidal components, theanalytic signal, positive and negative frequencies, constructive anddestructive interference, invariance of sinusoidal frequency in linear time-invariant systems, circular motion as the vector sum of in-phase and quadrature sinusoidal motions, sampled sinusoids, generating sampled sinusoids from powers of $z$, and plot examples using Mathematica.



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