Differential Feedback of MIMO Channel Gram Matrices Based on Geodesic Curves
| Autor: | Daniel Sacristan-Murga, Antonio Pascual-Iserte |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya. A&MP - Grup de Processament d'Arrays i Sistemes Multicanal |
| Rok vydání: | 2010 |
| Předmět: |
Geodesic
Geometria diferencial MIMO Feedback errors Data_CODINGANDINFORMATIONTHEORY 02 engineering and technology Topology MIMO systems Matrix (mathematics) Control theory Grassmannian Quantization 0202 electrical engineering electronic engineering information engineering Differential geometry Feedback communication Sistemes MIMO Electrical and Electronic Engineering Grassmannian packaging Computer Science::Information Theory Gramian matrix Mathematics Applied Mathematics Quantization (signal processing) 020206 networking & telecommunications Feedback delay Enginyeria de la telecomunicació [Àrees temàtiques de la UPC] Hermitian matrix Computer Science Applications 020201 artificial intelligence & image processing Geometry Differencial Subspace topology |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) IEEE Transactions on Wireless Communications Recercat. Dipósit de la Recerca de Catalunya instname |
| ISSN: | 1536-1276 |
| DOI: | 10.1109/twc.2010.102210.091686 |
| Popis: | This paper proposes a differential quantization strategy to be used in the feedback link of a multiple-input multiple-output (MIMO) communication system. This algorithm is applied to the channel Gram matrix using geodesic curves and exploiting the intrinsic geometry of positive definite Hermitian matrices. It also exploits the temporal correlation of the channel, and follows on average the gradient of the cost function associated to the transmitter design criterion. A full description of the algorithm, including the computational cost and a numerical analysis of the effect of delays and errors in the feedback link is presented. Simulation results show that the proposed algorithm improves other techniques based on the direct quantization of the channel response matrix or the quantization of the subspace spanned by the strongest eigenmodes of the MIMO channel, i.e., Grassmannian based techniques. The main drawback of Grassmannian based algorithms is that the transmitter is constrained to apply a uniform power allocation among spatial transmission modes, which is not forced in the algorithm proposed in this paper. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|