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A Novel Construction of Two-Dimensional Z-Complementary Array Pairs With Large Zero Correlation Zone
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DOI：10.1109/LSP.2021.3085238.png)
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Abstract
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The two-dimensional (2-D) Z-complementary array pair (ZCAP) can be viewed as an extension of the well-known one-dimensional (1-D) Z-complementary pair (ZCP). To date, most constructions of 2-D ZCAPs are indirect and based on existing 1-D sequences or 2-D arrays. In this letter, a new direct construction of 2-D ZCAPs with flexible array sizes based on 2-D generalized Boolean functions is proposed. Compared with the state-of-the-art method, the proposed 2-D ZCAPs have larger 2-D zero correlation zone (ZCZ) sizes and more flexible array sizes. Furthermore, the peak-to-average power ratio of column sequences of the proposed 2-D ZCAPs is analyzed and upper bounded by 2.
Keywords:
Boolean functions
Peak to average power ratio
Correlation
Zero correlation zone
Two dimensional displays
Array signal processing
Multicarrier code division multiple access
Generalized Boolean function
peak-to-average power ratio (PAPR)
Z-complementary array pair (ZCAP)
Z-complementary pair (ZCP)
zero correlation zone (ZCZ)
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