With rapid advancement in data acquisition technology (i.e.analog-to-digital and digital-to-analog converters) and the explosive introduction of micro-computers, selected complex linear and nonlinear ...

When electrical engineers hear the name "Nyquist," they think of what Harry Nyquist is best known for: his Sampling Theorem. Evidence of its importance is everywhere. Products like cell phones, audio ...

Abstract: Conventional sampling based on traditional interpretation of the sampling theorem has inherent problems. Most of them are related to the necessity to accumulate signal energy in the ...

Abstract: Low sampling frequency challenges the exact identification of continuous-time (CT) dynamical systems from sampled data, even when its model is identifiable. A necessary and sufficient ...

It is shown that a well-known irregular sampling formula for ordinary bandlimited functions is also valid for functions bandlimited in a generalized sense, except for some necessary modifications.

The optional sampling theorem for martingales indexed by a partially ordered set is true if the index set is directed. However, the corresponding result for submartingales indexed by a partially ...