Relaxed Polar Codes under AWGN Channels with Low Complexity and Low Latency

As the first family of codes to achieve the channel capacity, polar codes are becoming popular in many applications, such as 5G communication. Motivated by the requirement of low complexity and latency in 5G, researchers are keen to study efficient construction of polar codes. In this paper, inspired by the idea of relaxed polar codes, we study the relaxation of polar codes, and propose an efficient construction method for relaxed polar codes. By relaxing part of polarization units, the proposed method can help polar codes significantly reduce the encoding and decoding complexity as well as decoding latency with no BLER performance loss. Meanwhile, the proposed relaxed polar codes shows better BER performance due to the reduction of the impact of error propagation.