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Shannon diversity matrix was used.
Symbols from consecutive ST component codewords are interrelated via the diversity matrix.
Reconstruct the source bits using maximum a posteriori (MAP) criterion according to the specific diversity matrix applied. .
Decode the orthogonal ST code by employing Proposition 1. Reconstruct the source bits using maximum a posteriori (MAP) criterion according to the specific diversity matrix applied.
It follows from Equation 20 that the optimum diversity matrix, denoted A M, N ( m, n ), is SNR dependent, with n and m being the number of transmit and receive antennas, respectively, and where M= 2, 4, 8, and 16 correspond to BPSK, QPSK, 8-PSK, and 16-QAM constellations, respectively.
Then, ( {overline{mathbf{F}}}^k={mathbf{V}}_0^kin {C}^{N_ttimes left[{N}_t-{displaystyle {sum}_{i=1}^{k-1}{l}_i}right]} ) is named as the transmit space matrix and ( {overline{overline{mathbf{F}}}}^k ) is the transmit diversity matrix with ( left[{N}_t-{displaystyle {sum}_{i=1}^{k-1}{l}_i}right]times {l}_k ) size.
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Alpha diversity matrices for sample A replicate libraries.
We estimated the relative contribution of different drivers on these patterns using variation partitioning of microbial beta diversity matrices.
For this purpose, a Mantel test comparing the diversity matrices of the phenotypic and genotypic data was performed.
The relationship between the phenotypic and genotypic diversity of the core collection was assessed by a paired Mantel test [ 34] using GenAlEx 6.5 [ 35] with 999 permutations and by the MXCOMP module of NTSYS-Spec 2.11 L computing the correlation between the phenotypic and genotypic diversity matrices.
With the beta-diversity matrix calculated using rank distance, the 20 CRA and 24 normal participants differed significantly at the phylum level (P = 0.02 based on 10,000 permutations, Supplemental Table 3).
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