This post is an assessment of the key assumptions of the conventional sampling paradigm.
The conventional sampling process applies to Bandlimited signals, or in other words, signal spreads in the time axis. The process assumes taking evenly spread samples of the signal at a spacing depending on the maximum frequency component of the signal.
We analyze the question, if localization of information is allowed , will the Nyquist rate be sub-optimal. For instance, consider the signal and its sampling method:
