Ergodic Capacity Analysis of RIS-Aided Systems with Spatially Correlated Channels

Tanash, Islam M.; Riihonen, Taneli

doi:10.1109/icc45855.2022.9839244

Cited by 6 publications

(6 citation statements)

References 18 publications

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“…The value of L is considered to be 25 for all these cases. The simulation plots coincide with the computation plots, which validates the expression derived in (34). It can also be inferred that the diversity order for different values of M is the same.…”

Section: Numerical Resultssupporting

confidence: 81%

“…4. From the figure, we can observe that the simulation and the computation plots are coinciding, which validates (34). As the number of reflecting elements L in IRS increases, the received SNR increases, thereby improving the SEP performance of the system.…”

Section: Numerical Resultssupporting

confidence: 72%

“…The modulation employed by the transmitter is MPSK. First, we validate the symbol error probability of the IRS system with correlated Nakagami-m channels derived in (34). The SEP is numerically calculated for various values of average SNR Γ avg , keeping a fixed number of IRS reflecting elements L. This procedure is repeated for L = 4, 10, 15, 25.…”

Section: Numerical Resultsmentioning

confidence: 98%

“…Additionally, it is to be noted that the channel coefficients between the transmitter and the IRS and the IRS and the receiver are considered to be independent of each other. Moreover, we consider the phase introduced by the IRS element i ∈ [L] is φ i = ∠g i − ∠h i , which maximizes the instantaneous SNR of the considered system [24], [27], [34], [40]. Thus, the maximum instantaneous received SNR is given by…”

Section: System Modelmentioning

confidence: 99%

“…The probability density function (p.d.f) of the composite channel coefficient is derived using random matrix theory and is subsequently used to derive the expression for ergodic capacity of the overall system. The authors of [34] has derived the ergodic capacity of reconfig-urable intelligent surface (RIS)-aided system with spatially correlated channels. The channel coefficients between the IRS and the transmitter, and the IRS and the receiver are considered to be Rayleigh distributed and a statistical approximation of the p.d.f.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-m Fading

Ajayan,

Dash,

Ramkumar

2023

IEEE Access

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An intelligent reflecting surface (IRS) enhances the performance of a wireless channel by controlling the phase of signals reflected by them. This paper investigates an IRS-aided single input single output wireless communication system. Owing to the closely spaced placement of the IRS elements, the channels between the IRS and the transmitter, as well as the channels between the IRS and the receiver, are considered to be spatially correlated. Assuming optimal phase configuration at the IRS, correlated Nakagami-m random vectors are used to model the magnitude of the channel coefficient vectors between the IRS and the transmitter as well as between the IRS and the receiver. A statistical approximation of the distribution of composite channel is obtained as a Gamma distribution. The parameters of the approximated Gamma distribution are derived in terms of the scale parameter and spread parameter of Nakagami-m random vectors. The approximated Gamma distribution is validated using Monte-Carlo simulations and found to be closely following the actual distribution of the composite channel coefficient. Using the approximation, closed form expressions of the performance metrics such as symbol error probability (SEP), outage probability and average channel capacity are derived and validated.INDEX TERMS Average channel capacity, IRS, Nakagami-m fading, outage probability, SEP, spatial correlation.

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Section: Numerical Resultssupporting

confidence: 81%

Section: Numerical Resultssupporting

confidence: 72%

Section: Numerical Resultsmentioning

confidence: 98%