Low-complexity Block-Based Decoding Algorithms for Short Block Channels


Abstract:

This paper presents low-complexity block-based en- coding and decoding algorithms for short block length channels. In terms of the precise use-case, we are primarily concerned with the baseline 3GPP Short block transmissions in which payloads are encoded by Reed-Muller codes and paired with orthogonal DMRS. In contemporary communication systems, the short block decoding often employs the utilization of DMRS- based least squares channel estimation, followed by maximum likelihood decoding. However, this methodology can incur sub- stantial computational complexity when processing long bit length codes. We propose an innovative approach to tackle this challenge by introducing the principle of block/segment encoding using First-Order RM Codes which is amenable to low-cost decoding through block-based fast Hadamard transforms. The Block-based FHT has demonstrated to be cost-efficient with regards to decoding time, as it evolves from quadric to quasi- linear complexity with a manageable decline in performance. Additionally, by incorporating an adaptive DMRS/data power adjustment technique, we can bridge/reduce the performance gap and attain high sensitivity, leading to a good trade-off between performance and complexity to efficiently handle small payloads.

keyword :5G NR, Short block-lengths, ML detection, Training-based Transmission, Reed Muller codes, Fast Hadamard Transform, Block-based Encoding and Decoding, Adaptive Power Adjustment.


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