Temel Kavramlar
Feedback in communication schemes enhances error convergence rates with variable-length coding.
Özet
The content discusses the achievability bound for variable-length stop-feedback coding over the Gaussian channel. It emphasizes the importance of feedback in improving error convergence rates and presents a non-asymptotic achievability bound for variable-length coding with stop-feedback. The paper provides insights into the role of feedback in practical communication schemes, despite not increasing channel capacity. It delves into the specifics of VLSF coding, its definitions, and applications, particularly focusing on the Gaussian channel. The work also includes numerical evaluations to highlight the value of feedback compared to fixed blocklength coding without feedback.
Structure:
- Introduction to Feedback in Communication Schemes
- Feedback's role in enhancing error convergence rates.
- Non-asymptotic performance of coding strategies with feedback.
- Variable-Length Coding with Stop-Feedback (VLSF)
- Definition and characteristics of VLSF codes.
- Importance of achieving an average blocklength and distribution of decoding time.
- General Achievability Bound
- Theorem describing constraints for VLSF codes using minimum distance decoding.
- Application to Gaussian Channel
- Specifics of applying achievability bound to the Gaussian channel.
- Numerical Analysis
- Utilizing Monte Carlo experiments to evaluate achievable rates.
- Conclusions and Future Considerations
İstatistikler
"Numerical evaluation of Theorem 2 for signal-to-noise ratio γ = 1 (0 dB) and average probability of error ǫ = 10−3."
"The capacity of the channel and the normal approximation for fixed-length coding without feedback are also presented."
Alıntılar
"The existence of one specific code that achieves the constraints is not guaranteed, contrary to fixed-length coding."
"Feedback provides increased diversity and better achievable rates compared to fixed blocklength codes."