Alias-free sampling: An alternative conceptualization and its applications

A new concept of alias-free sampling of continuous-time processes X = \{ X(t), -\infty is introduced. The new concept is shown to be distinct from the traditional concept [1]-[3]. various criteria for a given sampling scheme \{t_{n}\} to be alias-free in the new sense are developed. The relationship of the new definition to the question of estimating the spectral density function \Phi(\lambda) of the continuous-time process X from its samples \{X(t_{t})\} is discussed.