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Updated: Sep 18, 2025

Calibration of Vector Network Analyzer for Measurements in Radio Frequency Propagation Channels

Calibration of Vector Network Analyzer for Measurements in Radio Frequency Propagation Channels

Published on: June 2, 2020

The Method of Types for the AWGN Channel.

Sergey Tridenski¹, Anelia Somekh-Baruch¹

¹Faculty of Engineering, Bar-Ilan University, Ramat Gan 5290002, Israel.

Entropy (Basel, Switzerland)

|June 26, 2025

Summary

This summary is machine-generated.

Researchers derived new bounds for error exponents in discrete-time additive white Gaussian noise (AWGN) channels. These findings advance understanding of information transmission limits under power constraints.

Keywords:

Gaussian channel channel coding correct-decoding error exponents method of types reliability function

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Area of Science:

Information Theory
Digital Communications

Background:

The additive white Gaussian noise (AWGN) channel is a fundamental model in digital communications.
Understanding error exponents is crucial for optimizing data transmission rates and reliability.
Power constraints significantly impact channel capacity and coding performance.

Purpose of the Study:

To provide alternative derivations for key bounds in discrete-time AWGN channel analysis.
To establish new theoretical underpinnings for error and correct-decoding exponents.
To explore the implications of power constraints on information transmission.

Main Methods:

Utilizing the method of types for analysis.
Employing finite alphabets with sizes dependent on block length (n).
Considering a sub-exponential number of types in relation to block length.

Main Results:

An alternative derivation for the sphere-packing upper bound on the optimal block error exponent.
An alternative derivation for the analogous lower bound on the optimal correct-decoding exponent.
Demonstrated the effectiveness of the method of types with specific alphabet and type configurations.

Conclusions:

The study offers novel derivations for critical information-theoretic bounds.
The findings contribute to a deeper understanding of achievable error probabilities in AWGN channels.
The presented methods provide a flexible framework for analyzing communication systems with power constraints.