On the compound capacity of a class of MIMO channels subject to normed uncertainty
Ημερομηνία
2012Source
IEEE Transactions on Information TheoryVolume
58Issue
4Pages
2048-2063Google Scholar check
Keyword(s):
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
The compound capacity of uncertain multiple-input multiple-output channels is considered, when the channel is modeled by a class described by a (known) nominal channel and a constrained-norm (unknown) uncertainty. Within this framework, two types of classes are investigated with additive and multiplicative uncertainties subject to a spectral norm constraint, using the singular value decomposition and related singular value inequalities as the main tools. The compound capacity is a maxmin mutual information, representing the capacity of the class, in which the minimization is done over the class of channels while the maximization is done over the transmit covariance. Closed-form solutions for the compound capacity of the classes are obtained and several properties related to transmit and receive eigenvectors are presented. It is shown that, under certain conditions, the compound capacity of the class is equal to the worst-case channel capacity, thus establishing a saddle-point property. Explicit closed-form solutions are given for the worst-case channel uncertainty and the capacity-achieving transmit covariance matrix: the best transmission strategy achieving the compound capacity is a multiple beamforming on the nominal (known) channel eigenmodes with the beam power distribution via the water filling at a degraded SNR. As the uncertainty increases, fewer eigenmodes are used until only the strongest one remains active so that transmit beamforming is an optimal robust transmission strategy in this large-uncertainty regime, for which explicit conditions are given. Using these results, upper and lower bounds of the compound capacity are constructed for other bounded uncertainties and some generic properties are pointed out. The results are extended to compound multiple-access and broadcast channels. In all considered cases, the price to pay for channel uncertainty is an SNR loss (or, equivalently, the nominal channel degradation) commensurate with the uncertainty set radius measured by the spectral norm and the optimal signaling strategy is the transmission on the degraded nominal channel. © 2006 IEEE.
Collections
Cite as
Related items
Showing items related by title, author, creator and subject.
-
Conference Object
Finite Blocklength Analysis of the Multiple Access Relay Channel with Batch-and-Forward Strategy
Kourtellaris, Christos K.; Psomas, Constantinos; Krikidis, Ioannis (2019)This work provides a comprehensive framework regarding the analysis of the Multiple Access Relay Channel (MARC) with Time Division Multiple Access (TDMA) scheduling, subject to finite blocklength constraints. In particular, ...
-
Article
Alternative relaying for cooperative multiple-access channels in wireless vehicular networks
Xu, P.; Ding, Z.; Dai, X.; Krikidis, Ioannis A.; Vasilakos, A. V. (2014)
-
Article
On the efficient use of multiple channels by single-receiver clients in wireless data broadcasting
Nicopolitidis, P.; Chrysostomou, Chrysostomos; Papadimitriou, Georgios I.; Pitsillides, Andreas; Pomportsis, A. S. (2014)This letter proposes an adaptive wireless push system for wireless data broadcasting environments, where multiple channels are available for broadcasting data from a broadcast server to a large number of mobile clients. ...