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FPGA Implementation of Rate-Adaptable Prefix-Free Code Distribution Matching for Probabilistic Constellation Shaping
In this work, we implement a rate-adaptable (RA) prefix-free code distribution matching (PCDM) encoder in a field-programmable gate array (FPGA). The implemented RA-PCDM encoder supports a wide range of information rates from 1.6 to 4.8 bit/symbol with fine granularity of 0.2 bit/symbol in probabilistic constellation shaping (PCS) systems. The shaping performance of the implemented RA-PCDM is within 0.55 dB of the theoretical limit. Massively parallel encoding of RA-PCDM is demonstrated using a sliding window processor, in a universal architecture for all PCDM codebooks. Given that the procedure and complexity of RA-PCDM decoding is almost the same as those of RA-PCDM encoding, it is shown that the RA-PCDM uses substantially less hardware area than a traditional rate adaptation scheme based on low-density parity-check (LDPC) codes, while offering finer rate granularity and shaping gain. The RA-PCDM is therefore a practical PCS technology that enables high-throughput optical communications to approach channel capacity more closely at a lower cost than RA-LDPC.
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