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This paper presents the design of low complexity LDPC codes decoders for the upcoming WiFi (IEEE 802.11n

Abstract-Non-binary low-density parity-check codes have superior communications performance compared to their binary counterparts. However, to be an option for future standards, efficient hardware architectures must be developed. State-of-theart decoding algorithms lead to architectures suffering from low throughput and high latency. The check node function accounts for the largest part of the decoders overall complexity. In this paper a new, hardware aware check node algorithm is proposed. It has state-of-the-art communications performance while reducing the decoding complexity. Moreover the presented algorithm allows for partially or even fully parallel processing of the check node operations which is not applicable with currently used algorithms. It is therefore an excellent candidate for future high throughput hardware implementations.

Polar codes have recently attracted significant attention due to their excellent error-correction capabilities. However, efficient decoding of Polar codes for high throughput is very challenging. Beyond 5G, data rates towards 1 Tbit/s are expected. Low complexity decoding algorithms like Successive Cancellation (SC) decoding enable such high throughput but suffer on errorcorrection performance. Polar Successive Cancellation List (SCL) decoders, with and without Cyclic Redundancy Check (CRC), exhibit a much better error-correction but imply higher implementation cost. In this paper we in-depth investigate and quantify various trade-offs of these decoding algorithms with respect to error-correction capability and implementation costs in terms of area, throughput and energy efficiency in a 28 nm CMOS FD-SOI technology. We present a framework that automatically generates decoder architectures for throughputs beyond 100 Gbit/s. This framework includes various architectural optimizations for SCL decoders that go beyond State-of-the-Art. We demonstrate a 506 Gbit/s SCL decoder with CRC that was generated by this framework.

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