DSP Tutorials

Here are two DSP-related tutorials written by Rick Lyons, instructor for the DSP Made Simple for Engineers course from Besser Associates.

Time Domain Interpolation by Frequency Domain Zero Padding

Performing interpolation on a sequence of time-domain samples is an important (often used) process in DSP, and there are many descriptions of time-domain interpolation (a kind of curve fitting) in the literature and on the Internet. However, there's a lesser-known scheme used for interpolation that employs the inverse discrete Fourier transform (DFT). This little tutorial attempts to describe that technique.

Quadrature Signals: Complex but not Complicated

Quadrature signals are based on the notion of complex numbers and perhaps no other topic causes more heartache for newcomers to DSP than these numbers and their strange terminology of j-operator, complex, imaginary, real, and orthogonal. If you're a little unsure of the physical meaning of complex numbers and the j = sqrt(-1) operator, don't feel bad because you're in good company. Why even Karl Gauss, one the world's greatest mathematicians, called the j-operator the "shadow of shadows". Here we'll shine some light on that shadow so you'll never have to call the Quadrature Psychic Hotline for help.

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