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Two-Dimensional Golay Complementary Array Pairs/Sets With Bounded Row and Column Sequence PAPRs
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DOI：10.1109/TCOMM.2022.3166903.png)
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Abstract
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The one-dimensional (1-D) Golay complementary set (GCS) has many well-known properties and has been widely employed in communications engineering. The concept of 1-D GCS can be extended to the two-dimensional (2-D) Golay complementary array set (GCAS) where the 2-D aperiodic autocorrelations of constituent arrays sum to zero except for the 2-D zero shift. The 2-D GCAS includes the 2-D Golay complementary array pair (GCAP) as a special case when the set size is 2. In this paper, 2-D generalized Boolean functions are introduced and constructions of 2-D GCAPs, 2-D GCASs, and 2-D Golay complementary array mates based on generalized Boolean functions are proposed. Explicit expressions of 2-D Boolean functions for 2-D GCAPs and 2-D GCASs are given. Therefore, they are all direct constructions without the aid of other existing 1-D or 2-D sequences. Moreover, the peak-to-average power ratio (PAPR) properties of the column sequences and row sequences of the constructed 2-D GCAPs and 2-D GCASs are investigated and the PAPRs are proved to be upper bounded.
Keywords:
Peak to average power ratio
Boolean functions
Two dimensional displays
Autocorrelation
Multicarrier code division multiple access
Upper bound
Synchronization
Golay complementary pair (GCP)
Golay complementary array pair (GCAP)
Golay complementary array mate
Golay complementary array set (GCAS)
peak-to-average power ratio (PAPR)
Journal
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8.3
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1.2W
Citations:
3.6W