Frequency Modulated Radar Waveform based on Sampled Chaotic Series

Chaos shows many advantages in radar application. A chaos sampled method is proposed in this paper. Two sampling models are provided. We obtain new chaotic series of noise like phase space structures and sharp autocorrelation functions. The model of chaos-based frequency modulated waveform is then put forward and properties including frequency spectrum, ambiguity function are theoretically analyzed in detail. Additionally, a sufficient condition of chaotic behavior sustaining for this frequency modulation is deduced. We confirm that the sampling method can present much superiority in finding suitable or even perfect chaotic series for frequency modulated radar waveform design, and outstanding performance can be obtained as well when the sufficient condition is satisfied. Numerical simulations mainly based on the Bernoulli chaos validate the theoretical analysis.