Here are links to all the Signal Processing ToolKit posts. They are in reverse chronological order–I cannot choose the temporal order, so if you want to get the most out of these posts, start at the bottom and work your way up: Start with “Signals.”

There are also “Next SPTK Post” and “Previous SPTK Post” links in each SPTK post.

SPTK (and CSP): Random Processes

The merging of conventional probability theory with signal theory leads to random processes, also known as stochastic processes. The ideas involved with random processes are central to cyclostationary signal processing.

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SPTK: The Analytic Signal and Complex Envelope

In signal processing, and in CSP, we often have to convert real-valued data into complex-valued data and vice versa. Real-valued data is in the real world, but complex-valued data is easier to process due to the use of a substantially lower sampling rate.

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SPTK: Ideal Filters

Ideal filters have rectangular or unit-step-like transfer functions and so are not physical. But they permit much insight into the analysis and design of real-world linear systems.

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