Extracting Communication, Ranging and Test Waveforms with Regularized Timing from the Chaotic Lorenz System

We present an algorithm for extracting basis functions from the chaotic Lorenz system along with timing and bit-sequence statistics. Previous work focused on modifying waveforms function of a single state variable. Importantly, these efforts initiated development solvable systems simple matched filters, which are suitable many spread spectrum applications. However, few known, they highly dependent upon engineered function. Non-solvable, signals often used to test time-series prediction schemes also central maximize spectral efficiency by joining radar communication waveforms. Here, we provide extracted all three variables, their statistics, Further, outline detailed extraction such as system. These results promote search in systems, tools waveforms, give algorithmic process quantify performance forecasting methods. The presented here compatible quantitative analysis predicted amplitudes regular timing.