Reassigned time–frequency representations of discrete time signals and application to the Constant-Q Transform

In this paper we provide a formal justification of the use of time–frequency reassignment techniques on time–frequency transforms of discrete time signals. State of the art techniques indeed rely on formulae established in the continuous case which are applied, in a somehow inaccurate manner, to discrete time signals. Here, we formally derive a general framework for discrete time reassignment. To illustrate its applicability and generality, this framework is applied to a specific transform: the Constant-Q Transform.