A novel error detection due to joint CRC aided denoise-and-forward network coding for two-way relay channels

Area of Science:

• Wireless communication systems
• Information theory
• Coding theory

Background:

• Denoise-and-forward (DNF) network coding (NC) enhances spectral efficiency in wireless two-way (TW) relay channels.
• Relay detection failures degrade diversity gain and end-to-end pairwise error probability (PEP).

Purpose of the Study:

• To introduce a novel joint cyclic redundancy code (CRC) check method (JCRC) for TW DNF NC systems.
• To improve the reliability and performance of NC signals in wireless relay channels.

Main Methods:

• Exploiting the properties of two combined NC CRC codewords to develop the JCRC method.
• Deriving detection probability bounds for the JCRC method.
• Proposing three JCRC-aided TW DNF NC schemes and deriving their PEP performance.

Main Results:

• The JCRC method effectively evaluates the reliability of NC signals.
• JCRC-aided TW DNF NC schemes achieve comparable PEP to separate CRC methods.
• The proposed schemes reduce computational complexity by half compared to separate CRC approaches.

Conclusions:

• The JCRC method offers a more efficient and reliable approach for TW DNF NC.
• The proposed JCRC-aided schemes outperform conventional methods using log-likelihood ratio thresholds.
• This work contributes to improving the performance of wireless relay communication systems.