Matrix analysis
Description and generation of spherically invariant speech-model signals
Signal Processing
Elements of information theory
Elements of information theory
Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise
Convex Optimization
Fundamentals of wireless communication
Fundamentals of wireless communication
MIMO Wireless Communications
Signal modelling in wireless fading channels using spherically invariant processes
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 05
Diversity-Integration Tradeoffs in MIMO Detection
IEEE Transactions on Signal Processing - Part II
Spatial diversity in radars-models and detection performance
IEEE Transactions on Signal Processing
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
Second-order asymptotics of mutual information
IEEE Transactions on Information Theory
Mutual information and minimum mean-square error in Gaussian channels
IEEE Transactions on Information Theory
Gradient of mutual information in linear vector Gaussian channels
IEEE Transactions on Information Theory
Optimum power allocation for parallel Gaussian channels with arbitrary input distributions
IEEE Transactions on Information Theory
On MIMO detection under non-Gaussian target scattering: the power-limited case
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
| Hi-index | 754.84 |
In this paper, we consider a multiple-input-multiple-output (MIMO) detection problem with M widely spaced transmit antennas and L widely spaced receive antennas, and we study the problem of designing the signal waveforms transmitted by each source node under non-Gaussian target scattering and temporally correlated Gaussian clutter. Two figures of merit are investigated for space-time code (STC) optimization under a semidefinite rank constraint: 1) the lower Chernoff bound (LCB) to the detection probability for fixed probability of false alarm, and 2) the mutual information (MI) between the observations available at the receive nodes and the "channel response" generated by a point-like target, assumed present tout court. Both receive and transmit power constraints are discussed. If the scattering distribution possesses some suitably defined properties of unitary invariance (see Section II-B), both MI-optimal and LCB-optimal STCs have a simple canonical structure: the same set of (clutter dependant) temporal codewords are employed at the transmit nodes, the only difference among the many solutions being the amount of power radiated by each antenna. Such a spatial power allocation critically depends upon the adopted figure of merit, the specified power constraint, and the underlying scattering model. Sufficient conditions to determine the optimal power allocation for all design criteria are provided. Asymptotic power distributions are also derived in the limit of vanishingly small and increasingly large signal-to-clutter ratios, proving that assuming Gaussian scattering at the design stage is a robust choice. A case study of relevant practical interest is examined in depth so as to compare the proposed design criteria and to assess the impact of signal non-Gaussianity on the system performances.