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The Grassmann manifold G<sub>n,p</sub> (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space L<sup>n</sup>, where L is either R or C. This paper considers the quantization problem in which a source in G<sub>n,p</sub> (L) is quantized through a code in G<sub>n,q</sub> (L), with p and q not necessarily the same.(More)
—In this paper, we propose a combined adaptive power control and beamforming framework for optimizing multiple-input/multiple-output (MIMO) link capacity in the presence of feedback-link capacity constraint. The feedback 1 is assumed to be noiseless and causal with a feedback capacity constraint in terms of maximum number of feedback bits per fading block.(More)
The general MIMO interference network is considered and is named the B-MAC Network, for it is a combination of multiple interfering broadcast channels and multiaccess channels. Included as special cases are interference channels, X channels, X networks, and most practical wireless networks. The optimization of this important class of networks has been(More)
Coding with a single fixed rate may not achieve the maximum throughput of a compound channel if the transmitter only has access to channel state statistics. Superposition coding for broadcast channels can be employed to increase the through-put. We study the optimal rate allocation for finite level superposition coding to maximize the through-put. Results(More)
—Transmit diversity through multiple transmit antennas is generally regarded as beneficial to the link-level performance. In this paper, we shall investigate the role of transmit diversity with respect to the link level and the system-level performance. We focus on the reverse link analysis, where mobile users are assumed to have independent fading, and(More)
—Recently, the authors introduced an algebraic design framework for space–time coding in flat-fading channels [1]–[4]. In this correspondence, we extend this framework to design algebraic codes for multiple-input multiple-output (MIMO) frequency-selective fading channels. The proposed codes strive to optimally exploit both the spatial and frequency(More)
A coding theorem is proved for memoryless channels when the channel state feedback of finite cardinality can be designed. Channel state information is estimated at the receiver and a function of the estimated channel state is causally fed back to the transmitter. The feedback link is assumed to be noiseless with a finite feedback alphabet, or equivalently,(More)
This paper considers the quantization problem on the Grassmann manifold with dimension n and p. The unique contribution is the derivation of a closed-form formula for the volume of a metric ball in the Grassmann manifold when the radius is sufficiently small. This volume formula holds for Grassmann manifolds with arbitrary dimension n and p, while previous(More)
— This paper considers the quantization problem on the Grassmann manifold with dimension n and p. The unique contribution is the derivation of a closed-form formula for the volume of a metric ball in the Grassmann manifold when the radius is sufficiently small. This volume formula holds for Grassmann manifolds with arbitrary dimension n and p, while(More)