Algorithm

Computational complexity theory

Sequential decoding

Flip

Apoptosis

Telecommunications

Set (abstract data type)

Biochemistry

Computer science

Polar code

Code (set theory)

Decoding methods

Physics

Astronomy

Code word

Polar

Bit error rate

List decoding

Block code

Concatenated error correction code

Chemistry

Programming language

Error detection and correction

Wireless

Throughput

Frame (networking)

Polar codes are a class of channel capacity achieving codes that has been selected for the next generation of wireless communication standards. Successive-cancellation (SC) is the first proposed decoding algorithm, suffering from mediocre error-correction performance at moderate code length. In order to improve the error-correction performance of SC, two approaches are available: (i) SC-List decoding which keeps a list of candidates by running a number of SC decoders in parallel, thus increasing the implementation complexity, and (ii) SC-Flip decoding that relies on a single SC module, and keeps the computational complexity close to SC. In this work, we propose the partitioned SC-Flip (PSCF) decoding algorithm, which outperforms SC-Flip in terms of error-correction performance and average computational complexity, leading to higher throughput and reduced energy consumption per codeword. We also introduce a partitioning scheme that best suits our PSCF decoder. Simulation results show that at equivalent frame error rate, PSCF has up to $5 \times$ less computational complexity than the SC-Flip decoder. At equivalent average number of iterations, the error-correction performance of PSCF outperforms SC-Flip by up to $0.15$ dB at frame error rate of $10^{-3}$.

Partitioned Successive-Cancellation Flip Decoding of Polar Codes