Synchronous signals and signal transmission and reception methods to achieve perfect omnidirectional precoding in large-scale mimo systems
A technology of synchronization signal and transmission method, applied in the directions of synchronization device, transmission system, radio transmission system, etc., can solve problems such as omnidirectional signal transmission performance affecting synchronization performance, linear increase of pilot frequency overhead, and different transmission signal power, etc. Achieve perfect omnidirectional coverage, reduce pilot overhead, and reduce complexity
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Embodiment 1
[0099] Each column of the perfect omnidirectional precoding matrix W may be composed of each sequence in a set of multiple mutually complementary orthogonal sequences. Consider a set of multi-complementary orthogonal sequences {a 0 ,a 1 ,...,a K-1}, where each sequence a k =[a k,0 ,a k,1 ,...,a k,M-1 ] T are polyphase sequences of length M, polyphase means All K sequences in this set satisfy both the complementary property and the orthogonal property. The complementary property means that the sum of the aperiodic autocorrelation functions of the K sequences is a delta function, that is
[0100]
[0101] And the orthogonality property means that
[0102]
[0103] Then the perfect omnidirectional precoding matrix W is constructed as
[0104] W=[a 0 ,a 1 ,...,a K-1 ] (16)
[0105] When K=2, a typical multi-complementary orthogonal sequence set is a Golay sequence pair.
example 2
[0106] Example 2: You can construct a dimension of The perfect omni-directional precoding matrix W′, which is denoted as
[0107] W'=[w 0 ,w 1 ,...,w K-1 ] (17)
[0108] Then each column of the perfect omnidirectional precoding matrix W with dimension M×K can be obtained by performing K times zero-interpolation on each column of W′ respectively, namely
[0109] W=[P 0 w 0 ,P 1 w 1 ,...,P K-1 w K-1 ] (18)
[0110] In formula (18), P k =[[I M ] :,k ,[I M ] :,k+K ,...,[I M ] :,k+M-K ] indicates that the dimension is K times zero interpolation matrix, [I M ] :,k It means that taking the k-th column of the M×M identity matrix, interpolation according to formula (18) can ensure that each row of the obtained perfect omnidirectional precoding matrix W has only one non-zero element. Taking K=2, M=64 as an example, the perfect omnidirectional precoding matrix W' with a dimension of 32×2 is recorded as
[0111]
[0112] Then the perfect omni-directional precodi...
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