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Assisted Identification over Modulo-Additive Noise Channels.

Amos Lapidoth1, Baohua Ni1

  • 1Signal and Information Processing Laboratory, ETH Zurich, 8092 Zurich, Switzerland.

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Summary
This summary is machine-generated.

This study examines identification capacity in modulo-additive noise channels using rate-limited noise descriptions. Both versions of capacity, with and without missed identifications, are shown to be equal.

Keywords:
erasures-only capacityhelperidentification capacitymodulo-additive noiserate-limitedzero-undetected-error capacity

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Area of Science:

  • Information Theory
  • Communication Systems

Background:

  • Modulo-additive noise channels are fundamental in communication systems.
  • Understanding channel capacity is crucial for efficient data transmission.

Purpose of the Study:

  • To investigate the identification capacity of modulo-additive noise channels.
  • To analyze the impact of rate-limited noise descriptions on channel capacity.

Main Methods:

  • Studying the classical Ahlswede-Dueck capacity.
  • Analyzing the Ahlswede-Cai-Ning-Zhang capacity, which disallows missed identifications.
  • Comparing capacities with descriptions provided to the receiver, transmitter, or both.

Main Results:

  • The identification capacity gain from rate-limited noise descriptions was quantified.
  • Both the Ahlswede-Dueck and Ahlswede-Cai-Ning-Zhang capacities were found to coincide.
  • The capacities were shown to be equal to the helper-assisted Shannon capacity.

Conclusions:

  • Rate-limited noise descriptions do not alter the fundamental identification capacity.
  • The helper-assisted Shannon capacity provides a unified measure for these channels.
  • The location of the noise description (receiver/transmitter) does not affect the capacity.