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Identifying unambiguous frequency patterns for two-target localization using frequency diverse array
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DOI：10.1016/j.sigpro.2019.107452.png)
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Frequency diverse arrays (FDAs) with random frequency patterns can decouple range and angle with high probability only when the number of elements is sufficiently large. For small-scale arrays, some approaches are developed to identify unambiguous random frequency patterns for a single target. However, for two or more targets, the ambiguity depends not only on the frequency pattern but also the relative location of the targets. Identification is challenging because of the complicated relationship among ambiguity, frequency pattern and target relative location. In this paper, a series of criteria for identifying unambiguous frequency patterns for two-target localization is proposed. The analytical expression of the null spectrum that reveals the relationship among ambiguity, frequency pattern and target relative location is derived. Three types of target relative locations and two exceptional cases that may cause ambiguity are introduced via the null spectrum analysis. Each of the ambiguity conditions leads to a corresponding criterion, which results in the series of criteria proposed. These criteria can provide guide for frequency pattern design in practical application. Numerical simulations illustrate the effectiveness of the proposed unambiguity identification criteria. (C) 2020 Elsevier B.V. All rights reserved.
Keyword:
Frequency diverse array
Random FDA
Frequency pattern identification
Null spectrum
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