Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading
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...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10255749/ |
| _version_ | 1797674344647753728 |
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| author | Arathi P. Ajayan Soumya P. Dash Barathram Ramkumar |
| author_facet | Arathi P. Ajayan Soumya P. Dash Barathram Ramkumar |
| author_sort | Arathi P. Ajayan |
| collection | DOAJ |
| description | 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-<inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> 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-<inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> 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. |
| first_indexed | 2024-03-11T21:57:43Z |
| format | Article |
| id | doaj.art-766affaec1534b87bb0f013399c2eb54 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-11T21:57:43Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-766affaec1534b87bb0f013399c2eb542023-09-25T23:00:27ZengIEEEIEEE Access2169-35362023-01-011110229010230010.1109/ACCESS.2023.331727710255749Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> FadingArathi P. Ajayan0https://orcid.org/0000-0001-6485-8426Soumya P. Dash1https://orcid.org/0000-0001-8600-5838Barathram Ramkumar2School of Electrical Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, Odisha, IndiaSchool of Electrical Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, Odisha, IndiaSchool of Electrical Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, Odisha, IndiaAn 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-<inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> 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-<inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> 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.https://ieeexplore.ieee.org/document/10255749/Average channel capacityIRSNakagami-m fadingoutage probabilitySEPspatial correlation |
| spellingShingle | Arathi P. Ajayan Soumya P. Dash Barathram Ramkumar Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading IEEE Access Average channel capacity IRS Nakagami-m fading outage probability SEP spatial correlation |
| title | Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading |
| title_full | Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading |
| title_fullStr | Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading |
| title_full_unstemmed | Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading |
| title_short | Approximate Composite Channel Statistics and Performance Analysis of IRS-Aided Wireless System Under Nakagami-<italic>m</italic> Fading |
| title_sort | approximate composite channel statistics and performance analysis of irs aided wireless system under nakagami italic m italic fading |
| topic | Average channel capacity IRS Nakagami-m fading outage probability SEP spatial correlation |
| url | https://ieeexplore.ieee.org/document/10255749/ |
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