Stone Studio

Resources:

Fast Convolution

Covers various implementations of linear convolution using the DFT, including Overlap-Add and Overlap-Save.

Upsampling vs. Oversampling for Digital Audio

An article about the benefits of these techniques.

The Scientist and Engineer’s Guide to Digital Signal Processing

A great practical introduction to DSP. (Free to download)

Information on Gibbs Phenomenon

Wikipedia article on it.

Articles on Sampling below the Nyquist Rate

Sampling Signals of Finite Rate of Innovation

by Martin Vetterli

M. Vetterli, P. Marziliano, T. Blu, “Sampling Signals with Finite Rate of Innovation,”

IEEE Transactions on Signal Processing, vol. 50, no. 6, pp. 1417-1428, June 2002.

Sampling and Reconstruction of Signals with Finite Rate of Innovation in the Presence of Noise

by Irena Maravic and Martin Vetterli

Applets

Signals, Systems, and Control Demonstrations

A collection of helpful applets from Johns Hopkins University.

Demonstration of Aliasing of a Sinusoidal Signal

Applet that illustrates aliasing visually.

Magnitude/Phase DFT Applet

The “Second Applet” is a helpful tool for getting a better feel for the DFT.

Real/Imaginary DFT Applet

This is great for demonstrating the symmetry properties of the DFT.