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

Zouhair Ben Jemaa (1) , Sylvie Marcos (2) , Safya Belghith (1)

1 ENIT - Ecole Nationale d'Ingénieurs de Tunis
2 L2S - Laboratoire des signaux et systèmes

In this paper, we consider chaotic sequences as an alternative to other sequences in the literature for the design of radar waveforms in multiple-input multiple-output (MIMO) radar. For this aim we here adopt a statistical approach; by considering the codes defining the transmitted waveform as real-izations of a random variable we show that a suitable distribution of the random variable can give good codes. As an example we show how the chaotic skew tent map allows to generate deterministic codes having the desired statistical properties and thus makes it possible to obtain a good ambiguity function. These results are confirmed by simulations and compared to those using Gold codes and optimized codes.

Mots clés: MIMO radar; chaos-based sequences; ambiguity function; skew tent map; invariant probability density

Domaines: Sciences de l'ingénieur [physics]; Traitement du signal et de l'image [eess.SP]

Zouhair Ben Jemaa, Sylvie Marcos, Safya Belghith. Statistical Approach based Optimization for the Application of Chaotic Sequences to Radar. 28th European Signal Processing Conference (EUSIPCO 2020), Jan 2021, Amsterdam, Netherlands. ⟨10.23919/Eusipco47968.2020.9287461⟩. ⟨hal-02935416⟩