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Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
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On the Interactive Capacity of Finite-State Protocols.

Assaf Ben-Yishai1, Young-Han Kim2, Rotem Oshman3

  • 1School of Computer Science and Engineering, Hebrew University of Jerusalem, Jerusalem 9190401, Israel.

Entropy (Basel, Switzerland)
|December 30, 2020
PubMed
Summary
This summary is machine-generated.

This study determines the interactive capacity for finite-state protocols, showing they can be simulated reliably at the Shannon capacity. This resolves a long-standing challenge in information theory for specific protocol types.

Keywords:
Shannon theorychannel capacityinteractive communication

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Area of Science:

  • Information Theory
  • Computer Science
  • Communication Systems

Background:

  • Interactive capacity quantifies reliable simulation rates over noisy channels.
  • Calculating interactive capacity is complex, with known bounds often far from the Shannon capacity.
  • Existing upper bounds (Shannon capacity) are generally the best known but not tight for interactive protocols.

Purpose of the Study:

  • To determine the interactive capacity for simulating finite-state protocols.
  • To investigate if finite-state protocols can achieve the Shannon capacity for reliable simulation.
  • To establish tighter bounds for interactive capacity in restricted settings.

Main Methods:

  • Analysis of interactive protocols within a restricted finite-state model.
  • Theoretical investigation of simulation rates over noisy communication channels.
  • Comparison of achievable simulation rates against the Shannon capacity.

Main Results:

  • All two-state protocols can be simulated reliably at the Shannon capacity.
  • Rich families of arbitrary finite-state protocols also achieve the Shannon capacity.
  • The interactive capacity is established for these specific classes of finite-state protocols.

Conclusions:

  • The interactive capacity problem is solved for two-state and certain arbitrary finite-state protocols.
  • Simulation at Shannon capacity is achievable for these protocols, bridging a gap in information theory.
  • This work provides a significant advancement in understanding reliable communication over noisy channels.