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.