The author proposes a sequence of time-frequency signal representations which offer a continuous transition from time smoothed pseudo-Wigner-Ville distributions (PWVD) to a specified class of positive representations. This allows the selection of a representation which offers the desired tradeoff between the inherent localization properties of the PWVD and the lack of interference terms present in the class of positive representations, a cause of some criticism of the method. The sequence converges uniformly to the specified positive distribution. >