Hit arrays: a tool for signal design for Wigner distribution functions for frequency hop codes

Using the fact that any Wigner distribution function (WDF) of two signals can be related to an ambiguity function of two (possibly different) signals, the concept of hit arrays is applied to predict the hit structure (inner or outer interference terms), together with location and shape of the hits, of the WDF. A graphical technique and algebraic expressions are derived and used to obtain the time reversed frequency hop codes. Since the time reversed codes are still a (possibly different) frequency hop code of the same type, all properties, signal design criteria and results available for hit arrays and ambiguity functions can not be directly applied to the WDF. This has opened a new approach to designing for signals for desired WDFs.<>