Polar-Coded Probability Shaping for Flexible High-Order Modulation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing polar code modulation schemes in high-order modulation scenarios face issues of incompatibility, high complexity, and limited flexibility, even when combined with simple probability shaping technologies.
Innovation Solution
A method involving grouping to-be-encoded bit sequences into two independent groups, applying probability shaping and polar transformation separately to each group, and then modulating them to achieve sub-channel capacity matching through flexible check, maximizing transmission rate.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If probability shaping technology is combined with polar code in high-order modulation scenario, then spectral efficiency is improved, but incompatibility and limited flexibility problems occur
Solution Approach 1:
The message is divided into multiple parts, and different encoding and modulation strategies are applied to different parts. Specifically, some bit sequences undergo probability shaping while others use traditional polar coding, allowing flexible combination and resolving the contradiction between spectral efficiency and adaptability
Solution Approach 2:
The system dynamically adjusts the encoding and modulation parameters based on channel conditions and requirements. The flexible check mechanism allows the system to adaptively select between different coding schemes and modulation orders, maintaining both high spectral efficiency and flexibility
2Productivity
If high-order modulation technology is used to map multiple codeword bits to same channel symbol, then spectral efficiency is improved, but energy distribution becomes uneven requiring complex shaping technology
Solution Approach 1:
The bit sequence is segmented into multiple groups, with different groups mapped to different energy levels. This segmentation allows simple probability shaping to be applied selectively to specific bit groups rather than requiring complex shaping of the entire symbol, reducing overall system complexity while maintaining spectral efficiency
Solution Approach 2:
Different quality requirements are applied to different parts of the transmitted signal. High-reliability bits are protected with more robust encoding and mapping to lower energy symbols, while lower-reliability bits use simpler schemes on higher energy symbols, optimizing performance without requiring uniform complex processing across all bits
Data Source
Figure 1~2
Figure 3~4
Figure 5
AI summary
This application provides a polar encoding and modulation method and apparatus, and a demodulation and decoding method and apparatus. In the polar encoding and modulation method, a probability shaping technology is combined with a polar code, to group to-be-encoded bit sequences, and probability shaping is performed on a group of bit sequences. Modulation and mapping are directly performed on all bit sequences obtained through probability shaping, and polar transformation is performed on some bit sequences obtained through probability shaping together with other groups of bit sequences for modulation and mapping. In the demodulation and decoding method, a modulation symbol sequence is demodulated and decoded, a part of obtained bit sequence is directly mapped to obtain a second bit sequence, and the other part is continuously decoded to obtain a first bit sequence. According to the polar encoding and modulation method and apparatus, and demodulation and decoding provided in this application, sub-channel capacity matching is implemented through flexible check, to maximize a transmission rate.