Reconfigurable intelligent surface (RIS) architectures not limited to diagonal phase shift matrices have recently been considered to increase their flexibility in shaping the wireless channel. One of these beyond-diagonal RIS or BD-RIS architectures leads to a unitary and symmetric RIS matrix. In this letter, we consider the problem of maximizing the signal-to-noise ratio (SNR) in single and multiple antenna links assisted by a BD-RIS. The Max-SNR problem admits a closed-form solution based on the Takagi factorization of a certain complex and symmetric matrix. This allows us to solve the max-SNR problem for SISO, SIMO, and MISO channels.
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页码:923 / 926
页数:4
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[1]
Autonne L., 1913, Annales de l'Universite de Lyon, V156, P858
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Univ Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Di Renzo, Marco
Zappone, Alessio
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Univ Cassino & Lazio Meridionale, Dipartimento Ingn Elettr & Informaz, I-03043 Cassino, ItalyUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Zappone, Alessio
Debbah, Merouane
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h-index: 0
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Huawei France Res & Dev, F-92100 Boulogne Billancourt, FranceUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Debbah, Merouane
Alouini, Mohamed-Slim
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King Abdullah Univ Sci & Technol KAUST, Thuwal 23955, Saudi ArabiaUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Alouini, Mohamed-Slim
Yuen, Chau
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Singapore Univ Technol & Design SUTD, Singapore 487372, SingaporeUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Yuen, Chau
de Rosny, Julien
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CNRS, Inst Langevin, Paris Sci & Lettres, F-75005 Paris, FranceUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
de Rosny, Julien
Tretyakov, Sergei
论文数: 0引用数: 0
h-index: 0
机构:
Aalto Univ, Dept Elect & Nanoengn, Helsinki 02150, FinlandUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
机构:
Univ Paris Saclay, Cent Supelec, F-91192 Gif Sur Yvette, FranceSingapore Univ Technol & Design, Engn Prod Dev EPD Pillar, Singapore 487372, Singapore
Zappone, Alessio
Alexandropoulos, George C.
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Huawei Technol France SASU, Math & Algorithm Sci Lab, Paris Res Ctr, F-92100 Boulogne, France
Natl & Kapodistrian Univ Athens, Dept Informat & Telecommun, Athens 15784, GreeceSingapore Univ Technol & Design, Engn Prod Dev EPD Pillar, Singapore 487372, Singapore
Alexandropoulos, George C.
Debbah, Merouane
论文数: 0引用数: 0
h-index: 0
机构:
Univ Paris Saclay, Cent Supelec, F-91192 Gif Sur Yvette, France
Huawei Technol France SASU, Math & Algorithm Sci Lab, Paris Res Ctr, F-92100 Boulogne, FranceSingapore Univ Technol & Design, Engn Prod Dev EPD Pillar, Singapore 487372, Singapore
机构:
Hefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
Hefei Univ Technol, Key Lab Knowledge Engn Big Data, Minist Educ, Hefei 230601, Peoples R ChinaHefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
Huang, Wei
Zeng, Yong
论文数: 0引用数: 0
h-index: 0
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Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
Purple Mt Labs, Nanjing 211111, Peoples R ChinaHefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
Zeng, Yong
Huang, Yongming
论文数: 0引用数: 0
h-index: 0
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Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
Purple Mt Labs, Nanjing 211111, Peoples R ChinaHefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
机构:
Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, EnglandImperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
Li, Hongyu
Shen, Shanpu
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h-index: 0
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Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Hong Kong, Peoples R ChinaImperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
Shen, Shanpu
Clerckx, Bruno
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h-index: 0
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Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, EnglandImperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
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Univ British Columbia, Sch Engn, Kelowna, BC V1V 1V7, CanadaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Nadeem, Qurrat-Ul-Ain
Kammoun, Abla
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h-index: 0
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King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div, Thuwal 239556900, Saudi ArabiaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Kammoun, Abla
Chaaban, Anas
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h-index: 0
机构:
Univ British Columbia, Sch Engn, Kelowna, BC V1V 1V7, CanadaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Chaaban, Anas
Debbah, Merouane
论文数: 0引用数: 0
h-index: 0
机构:
Cent Supelec, F-91192 Gif Sur Yvette, France
Huawei France Res & Dev Ctr, Math & Algorithm Sci Lab, F-92100 Paris, FranceUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Debbah, Merouane
Alouini, Mohamed-Slim
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div, Thuwal 239556900, Saudi ArabiaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
机构:
Univ Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Di Renzo, Marco
Zappone, Alessio
论文数: 0引用数: 0
h-index: 0
机构:
Univ Cassino & Lazio Meridionale, Dipartimento Ingn Elettr & Informaz, I-03043 Cassino, ItalyUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Zappone, Alessio
Debbah, Merouane
论文数: 0引用数: 0
h-index: 0
机构:
Huawei France Res & Dev, F-92100 Boulogne Billancourt, FranceUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Debbah, Merouane
Alouini, Mohamed-Slim
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol KAUST, Thuwal 23955, Saudi ArabiaUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Alouini, Mohamed-Slim
Yuen, Chau
论文数: 0引用数: 0
h-index: 0
机构:
Singapore Univ Technol & Design SUTD, Singapore 487372, SingaporeUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
Yuen, Chau
de Rosny, Julien
论文数: 0引用数: 0
h-index: 0
机构:
CNRS, Inst Langevin, Paris Sci & Lettres, F-75005 Paris, FranceUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
de Rosny, Julien
Tretyakov, Sergei
论文数: 0引用数: 0
h-index: 0
机构:
Aalto Univ, Dept Elect & Nanoengn, Helsinki 02150, FinlandUniv Paris Saclay, CNRS, F-91192 Gif Sur Yvette, France
机构:
Univ Paris Saclay, Cent Supelec, F-91192 Gif Sur Yvette, FranceSingapore Univ Technol & Design, Engn Prod Dev EPD Pillar, Singapore 487372, Singapore
Zappone, Alessio
Alexandropoulos, George C.
论文数: 0引用数: 0
h-index: 0
机构:
Huawei Technol France SASU, Math & Algorithm Sci Lab, Paris Res Ctr, F-92100 Boulogne, France
Natl & Kapodistrian Univ Athens, Dept Informat & Telecommun, Athens 15784, GreeceSingapore Univ Technol & Design, Engn Prod Dev EPD Pillar, Singapore 487372, Singapore
Alexandropoulos, George C.
Debbah, Merouane
论文数: 0引用数: 0
h-index: 0
机构:
Univ Paris Saclay, Cent Supelec, F-91192 Gif Sur Yvette, France
Huawei Technol France SASU, Math & Algorithm Sci Lab, Paris Res Ctr, F-92100 Boulogne, FranceSingapore Univ Technol & Design, Engn Prod Dev EPD Pillar, Singapore 487372, Singapore
机构:
Hefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
Hefei Univ Technol, Key Lab Knowledge Engn Big Data, Minist Educ, Hefei 230601, Peoples R ChinaHefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
Huang, Wei
Zeng, Yong
论文数: 0引用数: 0
h-index: 0
机构:
Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
Purple Mt Labs, Nanjing 211111, Peoples R ChinaHefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
Zeng, Yong
Huang, Yongming
论文数: 0引用数: 0
h-index: 0
机构:
Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
Purple Mt Labs, Nanjing 211111, Peoples R ChinaHefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Peoples R China
机构:
Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, EnglandImperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
Li, Hongyu
Shen, Shanpu
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Hong Kong, Peoples R ChinaImperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
Shen, Shanpu
Clerckx, Bruno
论文数: 0引用数: 0
h-index: 0
机构:
Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, EnglandImperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
机构:
Univ British Columbia, Sch Engn, Kelowna, BC V1V 1V7, CanadaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Nadeem, Qurrat-Ul-Ain
Kammoun, Abla
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div, Thuwal 239556900, Saudi ArabiaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Kammoun, Abla
Chaaban, Anas
论文数: 0引用数: 0
h-index: 0
机构:
Univ British Columbia, Sch Engn, Kelowna, BC V1V 1V7, CanadaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Chaaban, Anas
Debbah, Merouane
论文数: 0引用数: 0
h-index: 0
机构:
Cent Supelec, F-91192 Gif Sur Yvette, France
Huawei France Res & Dev Ctr, Math & Algorithm Sci Lab, F-92100 Paris, FranceUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
Debbah, Merouane
Alouini, Mohamed-Slim
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div, Thuwal 239556900, Saudi ArabiaUniv British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada