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Asymptotically Optimal Status Update Compression in Multi-Source System: Age-Distortion Tradeoff.

Jun Li1, Wenyi Zhang1

  • 1Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei 230026, China.

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Summary
This summary is machine-generated.

This study optimizes data compression for multi-source status-updating systems. It introduces two schemes, finding that specific quantizer-encoder designs minimize average age of information (AoI) under distortion constraints.

Keywords:
age of informationdata compressionhigh-resolution quantizationmulti-source systemtimely status updates

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Area of Science:

  • Information Theory
  • Communication Systems
  • Signal Processing

Background:

  • Status-updating systems are crucial for real-time information dissemination.
  • Efficient compression is vital for managing data in shared communication channels.
  • Minimizing age of information (AoI) is key for timely data delivery.

Purpose of the Study:

  • To investigate compression schemes for multi-source status-updating systems.
  • To minimize the sum of average AoI under symbol distortion constraints.
  • To develop optimal quantizer-encoder designs for two distinct compression approaches.

Main Methods:

  • Formulation of optimization problems for quantizer-encoder design.
  • Analysis of a two-source system with heterogeneous Poisson processes.
  • Development of multi-quantizer and single-quantizer compression schemes.

Main Results:

  • Asymptotic optimality achieved with uniform quantizers in the multi-quantizer scheme.
  • Asymptotic optimality achieved with a piecewise uniform w-quantizer in the single-quantizer scheme.
  • Average AoI scales linearly with log distortion for both schemes, with slope dependent on source arrival rates.

Conclusions:

  • The proposed compression schemes offer asymptotically optimal solutions for minimizing AoI.
  • The design of quantizer-encoder pairs significantly impacts system performance.
  • Understanding the relationship between distortion and AoI is crucial for system design.