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Bounds on the Sum-Rate of MIMO Causal Source Coding Systems with Memory under Spatio-Temporal Distortion Constraints.

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Summary

This study establishes bounds for optimal transmission accuracy (OPTA) in two-user MIMO systems with causal encoding and decoding. We introduce novel methods for characterizing these bounds under distortion constraints, enhancing data transmission reliability.

Keywords:
boundscausal codingconvex programmingestimationmulti-user rate distortion theoryone-shot information theoryspatial distortion constraintstemporal distortion constraints

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Area of Science:

  • Information Theory
  • Wireless Communications
  • Signal Processing

Background:

  • Multi-input Multi-output (MIMO) systems are crucial for modern wireless communication.
  • Causal encoding and decoding present unique challenges in information transmission.
  • Distortion constraints significantly impact system performance.

Purpose of the Study:

  • Derive lower and upper bounds on the Optimal Transmission Accuracy (OPTA) for a two-user MIMO causal system.
  • Characterize performance under various spatio-temporal distortion constraints.
  • Investigate the impact of Gaussian and non-Gaussian noise processes.

Main Methods:

  • State augmentation techniques and data processing theorem for lower bounds.
  • Nonanticipatory epsilon-entropy (sequential RDF) as an information measure.
  • SDP algorithm for Gaussian noise processes; closed-form solutions for non-Gaussian cases.
  • Linear forward test channel and DPCM-based schemes for upper bounds.

Main Results:

  • Established characterizations for lower bounds on OPTA under distortion constraints.
  • Derived closed-form solutions for OPTA bounds with Gaussian and non-Gaussian noise.
  • Developed upper bounds using advanced coding schemes (DPCM, ECDQ).
  • Validated the framework through simulation studies.

Conclusions:

  • The derived bounds provide a theoretical foundation for optimizing two-user MIMO systems.
  • The methods effectively handle diverse distortion constraints and noise types.
  • The study offers practical insights for designing reliable wireless communication systems.