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Bounds on the Sum-Rate of MIMO Causal Source Coding Systems with Memory under Spatio-Temporal Distortion Constraints
Photios A Stavrou1, Jan Østergaard2, Mikael Skoglund1
1Department of Intelligent Systems, Division of Information Science and Engineering, KTH Royal Institute of Technology, 11428 Stockholm, Sweden.
Entropy (Basel, Switzerland)
|December 8, 2020
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.
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.
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