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.

中文翻译：

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一种优化雷达模糊函数的统计方法和基于混沌的波形设计

摘要 在本文中，我们采用统计方法来优化雷达系统的模糊度函数。通过考虑将传输波形定义为随机变量实现的代码，我们首先表明随机变量的合适分布可以获得良好的代码。其次，我们表明使用混沌倾斜帐篷地图可以生成具有所需统计特性的确定性代码。这允许获得雷达系统的优化全局模糊度函数。使用基于混沌的序列的优点是它们可以很容易地以任何长度和数量生成。我们通过引入下采样进一步提高了它们的性能。似乎所提出的序列的性能与计算优化的文献序列的性能非常相似。