A statistical approach to the optimization of the radar ambiguity function and the chaos-based waveform design

Abstract

In this paper we adopt a statistical approach to optimize the ambiguity function of a radar system. By considering the codes defining the transmitted waveform as realizations of a random variable we firstly show that a suitable distribution of the random variable allows to obtain good codes. Secondly we show that using the chaotic skew tent map it is possible to generate deterministic codes having the desired statistical properties. This allows to obtain an optimized global ambiguity function of the radar system. The advantage of using chaos-based sequences is that they can be easily generated in any length and number. We further improve their performance by introducing down sampling. It appears that the proposed sequences have performance quite similar to those of the sequences of the literature computationally optimized.

Statistical Approach based Optimization for the Application of Chaotic Sequences to Radar

“…As demonstrated in this work the drawback of the considered chaotic sequences is due to the first iterations of the corresponding distribution. A method allowing to avoid this weakness has recently been proposed in [21].…”