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This paper presents a coding approach for achieving omnidirectionaltransmission of certain common signals in massive multi-input multi-output(MIMO) networks such that the received power at any direction in a cell remainsconstant for any given distance. Specifically, two-dimensional (2D) Golaycomplementary array set (GCAS) can be used to design optimal massive MIMOprecoding matrix so as to achieve omnidirectional transmission due to itscomplementary autocorrelation property. In this paper, novel constructions ofnew 2D GCASs with arbitrary array lengths are proposed. Our key idea is tocarefully truncate the columns of certain larger arrays generated by 2Dgeneralized Boolean functions. Finally, the power radiation patterns andnumerical results are provided to verify the omnidirectional property of theGCAS-based precoding. The error performances of the proposed precoding schemeare presented to validate its superiority over the existing alternatives.

Two-Dimensional Golay Complementary Array Sets With Arbitrary Lengths for Omnidirectional MIMO Transmission