Exact(1)
Moreover, these derivations could, also, approximate that of the Rician channels when the mean channel matrix is of rank 1; this could be satisfied when all channel vectors have the same mean value or in some other practical scenarios where the line-of-sight (LOS) component of the channel matrix approaches the scaled all-ones matrix [37].
Similar(59)
Figure 2 MMSE-OSIC: VSER curves for antenna selection from (3 × 4) to (3 × 3) where ( M × N ) means channel matrix size (Uncoded, QPSK).
Figure 1 ZF-OSIC: VSER curves for antenna selection from (3 × 4) to (3 × 3) where ( M × N ) means channel matrix size (Uncoded, QPSK).
With this, the input output relation at time instant, formulated by means of the equivalent channel matrix, is given by, where we introduced the receive vector, the transmit vector and the receive noise vector.
As for the MIMO channel, the coefficients for each pair of antennas are drawn from independent Rice distributions, although not identically distributed, picking random complex mean values for each MIMO channel matrix entry.
In satellite coexistence scenario, the channel is non-zero mean and we consider a tridiagonal channel matrix with 3 correlated entries.
Correlation matrices are symmetric, and for simplicity, we denote H ̄ mi = R r 1 2 H ̄ i R i 1 2 and E mi = R r 1 2 E i T I N + σ i 2 R i − 1 − T 2, where these represent each channel matrix with a mean part and an estimation error part.
This means that each entry in the channel matrix is a constant complex value.
However, if the sum of smaller two of (|A| + |F|), (|B| + |E|), and (|C| + |D|) is also large, then it means that all columns of the channel matrix are close to each other, and the channel is ill conditioned, and the performance of antenna grouping degrades.
So the mean and correlation matrix of the Rice channel matrix can be expressed as (13) (14).
Using the same method as for the Rayleigh channel, an adjustment factor can be obtained to maximize (2) when the statistic estimated value of mean and correlation matrix of the Rice channel matrix are known by the receiver side in the BS.
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