QC-LDPC Parity-Check Matrix Layout for Low-Complexity 1/2-Rate Encoding

The patent segments the generator matrix into multiple blocks, where each block corresponds to a specific set of information bits and parity bits. This segmentation transforms the single complex high-density generator matrix into multiple smaller, structured blocks that can be processed independently, reducing the overall computational complexity while maintaining the error correction capability through the structured arrangement of these blocks.

The patent changes the structural parameters of the generator matrix from a traditional high-density form to a quasi-cyclic low-density form with specific block structures. By modifying the density and cyclic properties of the matrix, the encoding complexity is reduced while the error correction performance is maintained through careful design of the block structures and their interconnections.

The patent divides the long codeword into multiple blocks, each with its own structured sub-generator matrix. This segmentation allows parallel processing of different blocks during encoding, significantly reducing the effective processing time despite the long overall block length. The structured blocks can be computed independently and then combined to form the complete codeword.

The patent employs periodic or quasi-periodic structures in the generator matrix blocks, where patterns repeat across different blocks. This periodicity enables the use of pre-computed values and reusable computational templates, reducing the actual processing time required for each block while maintaining the benefits of long block lengths for error correction performance.