Simulation Rerearch On Polar Code Encoding And Decoding And A Characteristic Research For The Frozen Bits

Polar codes which were originally proposed by Professor Erdal Arikan from Turkey's Bilkent University in 2008,have caused scholars,extensive concern.Polar codes can achieve excellent error correction performance near Shannon limit with low coding and decoding complexity.Now,scholars have made a definite progress on encoding,construction method and decoding algorithm.It is worth mentioning that 3 GPP determined to employ the polar code as 5G eMBB control channel encoding program at a meeting of the RANI 87 in Reno,Nevada in November 18,2016,which was proposed by Chinese communication enterprises led by Huawei.This paper is dedicated to encoding and decoding algorithm in binary erasure channel and additive white gaussian channel,and a short code transmission scheme for frozen bits,as following:First,the thesis briefly introduced the proposition and encoding construction of polar code,then a detailed illustration is placed upon the relevant status quo at home and abroad,research purpose about encoding structure,the channel selection and decoding algorithm,and density evolution(DE)and gaussian approximation(GA)algorithm are presented for different channel selection;Second,there is a detailed analysis about decoding principle and algorithm of successive cancellation(SC),List successive cancellation(SCL)and CRC-SCL.through software simulation,the paper analyzed SC algorithm performance on code length and rate and SCL algorithm performance on number of candidate paths,performance boosts by CRC,then the method that changes number of candidate paths based on signal to noise ratio(SNR)was proposed to balance complexity and performance;Thirdly,through theoretical research and simple simulation,we found that frozen bits can be used to carry identification information,then the method used to choose frozen bits which can carry identification information was proposed by systematical simulation in AWGN,and employed the proposition to specific application scenario,expand application scenarios based on features of identification method.