Computation of a time-frequency distribution (TFD) requires a discrete version of the continuous distribution. This discreteTFD(DTFD) should be free from aliasing and conserve all the important mathematical properties of the continuous distribution. Existing DTFD definitions, how- ever, poorly approximate this ideal. One popular definition, the generalized DTFD (GDTFD), is alias free but does not retain all the desirable prop- erties from the continuous distribution. Another definition, the so-called alias-free GDTFD (AF-GDTFD), retains most properties yet is not always alias free.We propose a new DTFD definition, based on the GDTFD, that retains all desirable properties and is always alias free.