Stochastic Chaotic Radar Waveform Design Based on Function-driven

摘要

Aiming at the difficulty of noise radar signal source generation, a method of chaotic radar waveform design based on function-driven is proposed. For a class of chaotic maps, the exact solution can be written as X_n = P(θk~n), where P(·) is a periodic function, θ is a real parameter and κ is an integer number. A generalization of these functions X_n = P (θz~n), where z is a real number, can be proved to produce truly random chaotic sequences. Similar results can be obtained with functions of type X (t) = P (exp [Q (t)]), where P (y) is a periodic function and Q(t) is a pseudo-periodic function. According to this idea, we can construct chaotic systems which can produce absolutely unpredictable chaotic signals. Simulation results show that this stochastic chaotic signal and its frequency modulation both have δ-like Autocorrelation Function (AF), and flat power spectrum, they are very suitable for wide band high resolution radar application.