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The hit array: an analysis formalism for multiple access frequency hop coding

机译：命中数组：多址跳频编码的分析形式主义

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摘要

A formalism is presented for the analysis of general frequency hop waveforms, such as those suitable for use in coherent active radar and sonar echolocation systems as well as multiple-access spread-spectrum communications. This formalism is based on the concept of coincidence, or 'hit', between two frequency hopping patterns. The collection of all possible hits, together with their locations, is recorded in time-frequency space, which produces the high array associated with the two patterns considered. If the code length is sufficiently small with respect to the time-bandwidth product chosen, the hit array can be viewed as a digital representation of the corresponding ambiguity function. Salient properties of the hit array formalism are derived, including simple relationships between hit arrays resulting from basic symmetry-preserving transformations. These properties make it possible to predict the performance of a given set of frequency hop waveforms directly from the associated set of frequency hopping patterns.
机译：提出了一种形式分析，用于分析一般的跳频波形，例如适用于相干有源雷达和声纳回声定位系统以及多址扩频通信的波形。这种形式主义基于两个跳频模式之间的巧合或“命中”概念。所有可能的命中及其位置的集合都记录在时频空间中，这会产生与所考虑的两种模式相关的高位数组。如果代码长度相对于所选的时间带宽乘积足够小，则可以将命中数组视为相应歧义函数的数字表示。推导了命中数组形式主义的显着属性，包括由基本对称保持转换产生的命中数组之间的简单关系。这些特性使得可以直接从相关联的一组跳频图案中预测给定的一组跳频波形的性能。

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