Polar Codes Applications for 5G Systems

Yıl 2018, Cilt: 34 Sayı: 3, 10 - 25, 30.12.2018

Marwan Dhuheir Sıtkı Öztürk

Öz

Improving
data transmission over wireless channels has been the main obsession for many
researchers for years. In this paper, we give a clear study of polar codes and
channel polarization which produces these codes. Moreover extracting polar
codes in three commom channels are studied. These channels are Binary Erasure
Channel (BEC), Binary Symmetric Channel (BSC) and Additive White Gaussian Noise
(AWGN) channel. Decoding information via polar codes is done by many methods,
however we give details about four common methods. Comparing between these
methods is done according to system’s complexity, Block Error Rate (BLER).
Since Shannon has discovered his theorem of information transmission, a lot of
work has been done to attain his limit nevertheless no one has succeeded. Polar
codes are the first provably codes that arrive to near Shannon’s limits of
capacity therefore they have most of researchers’ interest to be studied in 5G
systems.  As 5G systems require
significant improvements in channel capacity, polar codes are promising
technique that have ability to offer required improvements. In this study, we
give details about trial system of 5G encider and decoder with polar codes. 

Anahtar Kelimeler

Polar codes, Turbo codes, LDPC codes, 5G systems

5G Sistemler için kutupsal Kodları Uygulamaları

Öz

Kablosuz
kanallar üzerinden veri aktarımının iyileştirilmesi yıllar boyunca birçok araştırmacı
için problem olmuştur. Bu problemlerden biri kanal kapasitesidir. Shannon
teoremi keşfedildiğinden beri Shannon kapasitesine erişmek için çok çalışma
yapılmış ancak bu teorik sınıra ulaşmamıştır. Kutupsal kodlar Shannon kapasite
sınırına ulaşabilen ilk uygulanabilir kodlardır. 5G sistemlerinde kanal
kapasitesindeki artış kutupsal kodların diğer kodlara göre kullanımını daha öne
çıkarmıştır. Bu nedenle 5G sistemlerinde kutupsal kod kullanımı çoğu
araştırmacının ilgisini çekmektedir. Bu çalışmada Toplamsal Beyaz Gauss
Gürültüsü (AWGN), İkili Simetrik Kanal (BSC) ve İkili Silen Kanal (BEC)
kanalları üzerinden kutupsal kodların iletimi incelenmiştir.
Kutupsal kodların kod çözme işlemi çok farklı yöntemle yapılabilmektedir. Bu
çalışmada en yaygın 4 yöntem incelenmiştir. Bu yöntemlerin Blok Hata Oranı
BLER’a ve sistemin karmaşıklığına göre karışlaştırması yapılmıştır.

Anahtar Kelimeler

Kutupsal kodlar, Turbo kodları, LDPC kodları, 5G sistemleri

Kaynakça

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