Discrepancy theory investigates the uniformity of distributions by quantifying the deviation between the empirical distribution of a finite set of points and the uniform distribution. In numerical ...

Shift-invariant spaces form a fundamental class of function spaces where elements can be represented as linear combinations of translates of one or more generating functions. This concept is pivotal ...

Over the years, I've encountered many engineers (a majority in fact) who are still puzzled by the subtleties of sampling. Even though they may know some mathematical basics, or have some idea of how ...

In part 1, we started to make some intuitive connections between near-Nyquist sampling, the addition of close-frequency sines, and how those signals would interact with perfect LP filters. Let's put ...