CRC-Polar Encoding with Selective CRC Bits for Error Floor Reduction
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
In wireless communication systems, the concatenation of a Cyclic Redundancy Check (CRC) code with a polar code experiences an error floor phenomenon due to short CRC code lengths, leading to performance degradation and increased error detection failure probabilities.
Innovation Solution
The proposed method involves performing CRC coding on a determined number of information bits and polar coding on both the CRC-coded and remaining information bits, optimizing the CRC code length to improve error rate performance by adjusting the number of bits subjected to CRC coding based on the polar code generator matrix and Hamming distance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If a short CRC code length is used in the concatenation of CRC code and polar code, then the device complexity is reduced, but the error rate performance deteriorates due to error floor phenomenon
Solution Approach 1:
The information bits are divided into two groups: first information bits that undergo CRC coding and second information bits that do not. This segmentation allows the system to apply CRC protection selectively to only the necessary portion of data, reducing the overall CRC code length required while maintaining error detection capability for critical information.
Solution Approach 2:
Different parts of the information bits are treated differently regarding CRC protection. The first information bits are assigned CRC redundancy bits for enhanced protection, while the second information bits rely on polar code protection alone. This local differentiation optimizes the balance between complexity and reliability.
2Reliability
If CRC coding is performed on all information bits, then the error detection capability is improved, but the productivity decreases due to increased processing overhead
Solution Approach 1:
The information bits are segmented into first and second groups, with only the first group receiving CRC coding. This reduces the number of CRC operations performed, thereby decreasing processing overhead and improving productivity while maintaining sufficient error detection capability for the most critical data portions.
Solution Approach 2:
Instead of applying CRC coding to all information bits (excessive action), the method applies CRC coding only to the necessary first information bits (partial action). This partial application of CRC coding achieves the required error detection capability without the full processing overhead of universal CRC application.
Data Source
AI summary
An encoding method for encoding input information bits using an encoder implemented with concatenation of a CRC-α coder and a polar coder is provided. The method includes performing Cyclic Redundancy Check (CRC) coding on as many information bits as a determined number of CRC coding bits among input information bits and performing polar coding on the CRC-coded information bits and other information bits than the CRC-coded information bits.