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The third nice property of the 5G NR LDPC codes is that their parity check matrices or equivalently base matrices have good structure suitable for simple and parallel encoding.
The dual-diagonal parity check sub-matrix B and the identity sub-matrix I can be exploited to encode 5G NR LDPC codes efficiently.
From the above, the 5G NR LDPC codes have systematic, quasi-cyclic and the (dual) diagonal structure properties favorable for encoding with high throughput. The systematic property reduces the amount of the bits calculated. The QC property ensures the bits in each set can be calculated simultaneously. The (dual) diagonal structure property makes most sets of Z bits can be calculated simultaneously. Therefore, the 5G NR LDPC encoding algorithm has high potential parallelism. |
IEEE/ICACT20210136 Slide.08
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