Performance Analysis of Bit-Interleaved Polar Coded Modulation

Abstract

Polar codes have been applied to the construction of bit-interleaved polar coded modulation schemes in recent years. Bit-interleaved polar coded modulation schemes consist of the concatenation of multi-order modulation and polar codes. The structure of polar codes has some similar features to bit-interleaved coded modulation schemes. This similar features motivate us to transform the concatenated transmission schemes into a universal equivalent channel model, which consists of independent parallel channels, through considering polar coding and modulation synthetically in practical applications. We also propose a general polar codes constructing algorithm to design the constituent polar codes for the equivalent channel model. Then we employ a bijective mapper to accomplish the modulation i.e., binary address mapping, from coded bits to signals in constellation with Gray labeling or set partition labeling rule in different order modulations. We analyze and compare the performance of the equivalent channel model with different order modulations under different decoding algorithms. Simulation results show that the performance of our proposed schemes outperforms that of low-density parity-check codes in WiMAX standard and Turbo codes.