Uncertainty in the time-frequency plane

Is there a limit to the maximum resolution one can achieve when representing the signal´s energy in the time-frequency plane? Some authors sustain that such a limit exists, and ignoring it is the cause of the known difficulties with some joint time-frequency distributions; others maintain that there is no such limit. In this article, we propose to analyze the merits and demerits of the several existing approaches, and suggest further arguments one might wish to consider. This will take us to the conclusion that, both from a tool-specific and from a general information-theoretic point of view, there is, indeed, a lower limit on the achievable resolution, even though the expression for that limit can not be given by the traditional Heisenberg-Gabor relations