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MIMO SYSTEMS WITH QUANTIZED COVARIANCE FEEDBACK
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MIMO SYSTEMS WITH QUANTIZED COVARIANCE FEEDBACK

Category :


Sub Category : MIMO


Project Code : ITDSP06


Project Abstract

A unified approach is developed for the study of multi-input, multi-output (MIMO) systems under fast fading with quantized covariance feedback. In such systems, the receiver computes, using perfect channel state information (CSI), the covariance matrices to be adopted by the transmitter corresponding to the current channel realization, and feeds back a quantized version of this information to the transmitter using finite, say , bits per channel realization. Our analysis is based on a geometric framework we developed in a companion paper for manifolds of positive semi-definite (covariance) matrices with various trace and rank constraints. That analysis applies to MIMO systems in a unified manner to optimal as well as various suboptimal pre-coding methods for obtaining input co-variances. These include, for example, the capacity achieving spatio-temporal water-filling strategy, the incorporation of just spatial water-filling and reduced-rank beam-forming with power allocation in both cases, as well as MIMO systems with antenna selection. For a given system strategy, including the one that achieves capacity, the gap between the communication rates in the perfect and quantized covariance cases  O(2-Nf/N) is shown to be , where  N is the dimension of the particular manifold used for quantization. This dimension depends on the pre-coding strategy adopted and strongly determines how quickly the communication rate with quantized covariance feedback approaches that with perfect CSI at the transmitter (CSIT). Our results show how the choice of covariance quantization manifold can be tailored to the available feedback rate in MIMO system design.

EXISTING SYSTEM

PROPOSED SYSTEM

EXISTING CONCEPT:

·         The principal ideas in these works lie in the identification of the Grassmann manifold as the quantization space, the establishment of the relation between the chordal distance metric with an upper bound on capacity loss, the generation and use of random code books and estimation of the tradeoff between rate loss and the feedback rate

·         Problem here is to quantify the distortion in the feedback information and obtain a bound on its impact on the achievable rate of the system relative to its perfect CSIT counterpart.

PROPOSED CONCEPT:

·         We analyze under a general quantized covariance framework, the capacity achieving strategy as well as the strategy that is rate-optimal under the STPC and their rank reduced versions by mapping these problems into one that involves quantization of positive semi-definite matrices with appropriate rank and trace equality and inequality constraints. The ergodic capacity is analyzed and the achievable rates under finite rate feedback bounded relative to the ideal CSIT limits.

TECHNIQUE :

·         Random code books generation.

TECHNIQUE :

      Tradeoff Between Capacity Loss and Feedback Rate

         Space-Only Water Filling

TECHNIQUE DEFINITION:

·         The ability to generate pseudorandom numbers is important for simulating events, estimating probabilities and other quantities, making randomized assignments or selections, and numerically testing symbolic results.

TECHNIQUE DEFINITION:

·         We focus on the problem of approaching for limited through sup-optimal pre-coding strategies. By forcing the STPC one gets a reduction in the dimension of the quantization manifold.

DRAWBACKS:

·         Transmitter via a limited number of bits per channel realization.

ADVANTAGES:

·         Transmitter via a more number of bits per channel realization.


 
 
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