Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Performance Analysis of a Two-Tile Reconfigurable Intelligent Surface
  Assisted $2\times 2$ MIMO System   We consider a two--tile reconfigurable intelligent surface (RIS) assisted
wireless network with a two-antenna transmitter and receiver over Rayleigh
fading. We show that the average received signal-to-noise-ratio (SNR) optimal
transmission and combining vectors are given by the left and right singular
spaces of the RIS-receiver and transmit-RIS channel matrices, respectively.
Moreover, the optimal phases at the two tiles of the RIS are determined by the
phases of the elements of the latter spaces. To further study the effect of
phase compensation, we statistically characterize the average SNR of all
possible combinations of transmission and combining directions pertaining to
the latter singular spaces by deriving novel expressions for the outage
probability and throughput of each of those modes. Furthermore, for comparison,
we derive the corresponding expressions in the absence of RIS. Our results show
an approximate SNR improvement of $2$\,dB due to the phase compensation at the
RIS.

10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org