Chirps for radar based on reciprocal time, essential discontinuities and chaotic generators

We introduce and analyze a set of essentially discontinuous functions, based on multiplicative inverse of the time, which are usable as chirp signals. An advantage of these chirps is that they can be chosen from a large class to allow multiple radar operators to use each a specific waveform in automotive applications. When the new chirps are derived from chaotic signals, they are also less predictable for an observer, which is an advantage in some radar and sonar applications