Internal pilot insertion for polar codes

Abstract

Two internal pilot insertion methods are proposed for polar codes to improve their error correction performance. The presented methods are based on a study of the weight distribution of the given polar code. The insertion of pilot bits provided a new way to control the coding rate of the modified polar code on the basis of the Hamming weight properties without sacrificing the code construction and the related channel condition. Rate control is highly demanded by 5G channel coding schemes. Two short-length polar codes were considered in the work with successive cancellation list decoding. The results showed that advantages in the range of 0.1 to 0.75 dB were obtained in the relative tolerance of the modified coded signal to the additive white Gaussian noise and fading channels at a bit error rate of 10<sup>−4</sup>. The simulation results also revealed that the performance improvements were possible with a careful insertion of the pilots. The modified polar code with pilot insertion provided performance improvement and offered the control of the coding rate without any added complexity at both the encoder and the decoder.

Efficient systematic turbo polar decoding based on optimized scaling factor and early termination mechanism

“…This is mainly due to its ability to achieve channel capacity over the binary discrete memoryless channel with minimal encoding and decoding complexity. However, the acceptable performance of a PC can only be realized with a large code length [1], [3]- [11]. The main goal of this study is to enhance the bit error rate (BER) performance of PC with finite code length.…”

Turbo polar code based on soft-cancelation algorithm

“…Tal and Vardy [2] propose the successive cancellation list (SCL) decoder. The SCL decoder offers excellent performance, especially when coupling the CRC code as a genie-code along with it [3]- [5]. At a long and moderate code length, the complexity of SCL is very high.…”