Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference
The covariance information at the transmitter side is often subject to mismatches due to various impairments. This paper considers a training design problem for multiple-input multiple-output (MIMO) systems when both channel and interference covariance matrices are imperfect at the transmitter side....
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2025-07-01
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| author | Jae-Mo Kang Sangseok Yun |
| author_facet | Jae-Mo Kang Sangseok Yun |
| author_sort | Jae-Mo Kang |
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| description | The covariance information at the transmitter side is often subject to mismatches due to various impairments. This paper considers a training design problem for multiple-input multiple-output (MIMO) systems when both channel and interference covariance matrices are imperfect at the transmitter side. We first derive the structure of the optimal training signal, minimizing the worst-case mean square error (MSE). With the training structure, the original problem becomes a simple power allocation problem. We propose a numerical optimal power allocation scheme and a closed-form suboptimal power allocation scheme. Simulation results show that the proposed schemes considerably outperform the conventional schemes in terms of the worst-case MSE and bit error rate (BER) performances, and the proposed closed-form training scheme has comparable performance to that of the optimal one. For example, the proposed schemes yield more than 2.5 dB signal-to-interference ratio (SIR) gains at a BER of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></semantics></math></inline-formula>. |
| format | Article |
| id | doaj-art-b9972625e3f149d1baede5524a7fc1d0 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj-art-b9972625e3f149d1baede5524a7fc1d02025-08-20T03:50:17ZengMDPI AGMathematics2227-73902025-07-011313216810.3390/math13132168Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored InterferenceJae-Mo Kang0Sangseok Yun1Department of Artificial Intelligence, Kyungpook National University, Daegu 41566, Republic of KoreaDepartment of Information and Communications Engineering, Pukyong National University, Busan 48513, Republic of KoreaThe covariance information at the transmitter side is often subject to mismatches due to various impairments. This paper considers a training design problem for multiple-input multiple-output (MIMO) systems when both channel and interference covariance matrices are imperfect at the transmitter side. We first derive the structure of the optimal training signal, minimizing the worst-case mean square error (MSE). With the training structure, the original problem becomes a simple power allocation problem. We propose a numerical optimal power allocation scheme and a closed-form suboptimal power allocation scheme. Simulation results show that the proposed schemes considerably outperform the conventional schemes in terms of the worst-case MSE and bit error rate (BER) performances, and the proposed closed-form training scheme has comparable performance to that of the optimal one. For example, the proposed schemes yield more than 2.5 dB signal-to-interference ratio (SIR) gains at a BER of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></semantics></math></inline-formula>.https://www.mdpi.com/2227-7390/13/13/2168imperfect covariance matrixMIMO channel estimationminimax approachrobust training optimizationworst-case robustness |
| spellingShingle | Jae-Mo Kang Sangseok Yun Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference Mathematics imperfect covariance matrix MIMO channel estimation minimax approach robust training optimization worst-case robustness |
| title | Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference |
| title_full | Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference |
| title_fullStr | Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference |
| title_full_unstemmed | Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference |
| title_short | Worst-Case Robust Training Design for Correlated MIMO Channels in the Presence of Colored Interference |
| title_sort | worst case robust training design for correlated mimo channels in the presence of colored interference |
| topic | imperfect covariance matrix MIMO channel estimation minimax approach robust training optimization worst-case robustness |
| url | https://www.mdpi.com/2227-7390/13/13/2168 |
| work_keys_str_mv | AT jaemokang worstcaserobusttrainingdesignforcorrelatedmimochannelsinthepresenceofcoloredinterference AT sangseokyun worstcaserobusttrainingdesignforcorrelatedmimochannelsinthepresenceofcoloredinterference |