Flexible BCH Encoding Using Puncturing and Shortening
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Solution Overview
Problem
Current BCH codes have limited flexibility in code length and code rate, which restricts their application in next-generation wireless communication, particularly for flexible scheduling of short packets in wireless communication systems.
Innovation Solution
The proposed method involves determining a flexible encoding parameter for BCH codes using a generator matrix and puncturing or shortening sequences to adjust the code length and code rate, allowing for more flexible channel encoding in wireless communication.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If conventional BCH codes are used with fixed code length and code rate, then the code distance and error correction capability are ensured, but the flexibility in adapting to different wireless communication requirements is limited
Solution Approach 1:
The generator matrix is segmented into multiple sub-matrices, and the encoding process is divided into stages. This allows selective use of different segments to achieve various code lengths and rates while maintaining the underlying BCH structure, thus providing flexibility without requiring complete redesign of the encoding system.
Solution Approach 2:
The encoding scheme dynamically adjusts the code length and code rate by selectively puncturing or shortening the code based on channel conditions and traffic requirements. The generator matrix can be dynamically configured to produce different code parameters, enabling adaptive modulation and coding (AMC) in wireless communication systems.
2Adaptability or versatility
If the code length and code rate are fixed in BCH codes, then the algebraic structure and minimum code distance are maintained, but the support for flexible scheduling of short packets in wireless communication is insufficient
Solution Approach 1:
The code parameters (length, rate) are changed by applying puncturing or shortening operations on the base BCH code. This allows the system to adapt to different packet sizes and channel conditions while maintaining the algebraic structure of BCH codes. The minimum code distance is preserved through careful selection of puncturing patterns that maintain the distance properties.
3Adaptability or versatility
If puncturing or shortening operations are applied to BCH codes to achieve flexible code parameters, then the adaptability to different communication requirements is improved, but the implementation complexity increases
Solution Approach 1:
The generator matrix is pre-configured with puncturing and shortening patterns embedded in its structure. This preliminary preparation allows the encoder to quickly switch between different code parameters by simply selecting different pre-computed sub-matrices or applying predefined puncturing patterns, rather than performing complex real-time calculations.
Solution Approach 2:
Different parts of the generator matrix are designed with different properties to serve specific functions. Certain rows or columns are designated for puncturing while others maintain the full BCH structure. This local differentiation allows flexible parameter adjustment while preserving the error correction capability in critical portions of the code.
Data Source
AI summary
An encoding method and apparatus are provided, to propose a construction and encoding scheme of a BCH code. A code length and a code rate of an obtained BCH code are flexible, to satisfy a requirement of flexible channel encoding in wireless communication. The method includes determining a first encoding parameter based on a first BCH code, where the first BCH code is a to-be-coded BCH code, the first encoding parameter is a first code or a generator matrix of a first code, the first code has a code length of n and an information bit length of k, n is greater than 0, and k is greater than 0, and performing BCH encoding based on the first encoding parameter.