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Study on Error Correction Capability of Simple Concatenated Polar Codes

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@article{IJASEIT10677,
   author = {Robin Sinurat and Muhamad Rizki Maulana and Khoirul Anwar and Nanang Ismail},
   title = {Study on Error Correction Capability of Simple Concatenated Polar Codes},
   journal = {International Journal on Advanced Science, Engineering and Information Technology},
   volume = {10},
   number = {3},
   year = {2020},
   pages = {899--904},
   keywords = {BER; BPSK; IR-CPC; LLR; Polar codes; RR-CPC},
   abstract = {Polar codes ware mathematically proven to achieve the Shannon limit, where the error probability is reduced with the help of frozen bits. Since the frozen bits are detrimental in terms of transmission efficiency, this paper investigates the importance of the frozen bits and the possibility of being replaced by other protected bits via a concatenation with other outer channel coding schemes. We evaluate the impact of frozen bits to the capability of error correction of original Polar codes (OPC) and the concatenated Polar codes (CPC) in short block-length in terms of bit-error-rate (BER) performances. Repetition codes are used as outer channel encoder prior to the Polar codes and are divided into two schemes, i.e., (i) irregular repetition-CPC (IR-CPC) codes and (ii) regular repetition-CPC (RR-CPC) codes. We evaluate BER performances using computer simulations based on Log-Likelihood Ratio (LLR) with the modulation of Binary Phase Shift Keying (BPSK) under Additive White Gaussian Noise (AWGN) and frequency-flat Rayleigh Fading channels. We found that the OPC is better than the IR-CPC codes or RR-CPC codes for the same channel coding rate and block-length. This finding indicates that the frozen bits in OPC has strong contribution to the error correction capability of the Polar codes and may not be replaced by other bits even though the bits are protected by other channel coding schemes.},
   issn = {2088-5334},
   publisher = {INSIGHT - Indonesian Society for Knowledge and Human Development},
   url = {http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=10677},
   doi = {10.18517/ijaseit.10.3.10677}
}

EndNote

%A Sinurat, Robin
%A Maulana, Muhamad Rizki
%A Anwar, Khoirul
%A Ismail, Nanang
%D 2020
%T Study on Error Correction Capability of Simple Concatenated Polar Codes
%B 2020
%9 BER; BPSK; IR-CPC; LLR; Polar codes; RR-CPC
%! Study on Error Correction Capability of Simple Concatenated Polar Codes
%K BER; BPSK; IR-CPC; LLR; Polar codes; RR-CPC
%X Polar codes ware mathematically proven to achieve the Shannon limit, where the error probability is reduced with the help of frozen bits. Since the frozen bits are detrimental in terms of transmission efficiency, this paper investigates the importance of the frozen bits and the possibility of being replaced by other protected bits via a concatenation with other outer channel coding schemes. We evaluate the impact of frozen bits to the capability of error correction of original Polar codes (OPC) and the concatenated Polar codes (CPC) in short block-length in terms of bit-error-rate (BER) performances. Repetition codes are used as outer channel encoder prior to the Polar codes and are divided into two schemes, i.e., (i) irregular repetition-CPC (IR-CPC) codes and (ii) regular repetition-CPC (RR-CPC) codes. We evaluate BER performances using computer simulations based on Log-Likelihood Ratio (LLR) with the modulation of Binary Phase Shift Keying (BPSK) under Additive White Gaussian Noise (AWGN) and frequency-flat Rayleigh Fading channels. We found that the OPC is better than the IR-CPC codes or RR-CPC codes for the same channel coding rate and block-length. This finding indicates that the frozen bits in OPC has strong contribution to the error correction capability of the Polar codes and may not be replaced by other bits even though the bits are protected by other channel coding schemes.
%U http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=10677
%R doi:10.18517/ijaseit.10.3.10677
%J International Journal on Advanced Science, Engineering and Information Technology
%V 10
%N 3
%@ 2088-5334

IEEE

Robin Sinurat,Muhamad Rizki Maulana,Khoirul Anwar and Nanang Ismail,"Study on Error Correction Capability of Simple Concatenated Polar Codes," International Journal on Advanced Science, Engineering and Information Technology, vol. 10, no. 3, pp. 899-904, 2020. [Online]. Available: http://dx.doi.org/10.18517/ijaseit.10.3.10677.

RefMan/ProCite (RIS)

TY  - JOUR
AU  - Sinurat, Robin
AU  - Maulana, Muhamad Rizki
AU  - Anwar, Khoirul
AU  - Ismail, Nanang
PY  - 2020
TI  - Study on Error Correction Capability of Simple Concatenated Polar Codes
JF  - International Journal on Advanced Science, Engineering and Information Technology; Vol. 10 (2020) No. 3
Y2  - 2020
SP  - 899
EP  - 904
SN  - 2088-5334
PB  - INSIGHT - Indonesian Society for Knowledge and Human Development
KW  - BER; BPSK; IR-CPC; LLR; Polar codes; RR-CPC
N2  - Polar codes ware mathematically proven to achieve the Shannon limit, where the error probability is reduced with the help of frozen bits. Since the frozen bits are detrimental in terms of transmission efficiency, this paper investigates the importance of the frozen bits and the possibility of being replaced by other protected bits via a concatenation with other outer channel coding schemes. We evaluate the impact of frozen bits to the capability of error correction of original Polar codes (OPC) and the concatenated Polar codes (CPC) in short block-length in terms of bit-error-rate (BER) performances. Repetition codes are used as outer channel encoder prior to the Polar codes and are divided into two schemes, i.e., (i) irregular repetition-CPC (IR-CPC) codes and (ii) regular repetition-CPC (RR-CPC) codes. We evaluate BER performances using computer simulations based on Log-Likelihood Ratio (LLR) with the modulation of Binary Phase Shift Keying (BPSK) under Additive White Gaussian Noise (AWGN) and frequency-flat Rayleigh Fading channels. We found that the OPC is better than the IR-CPC codes or RR-CPC codes for the same channel coding rate and block-length. This finding indicates that the frozen bits in OPC has strong contribution to the error correction capability of the Polar codes and may not be replaced by other bits even though the bits are protected by other channel coding schemes.
UR  - http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=10677
DO  - 10.18517/ijaseit.10.3.10677

RefWorks

RT Journal Article
ID 10677
A1 Sinurat, Robin
A1 Maulana, Muhamad Rizki
A1 Anwar, Khoirul
A1 Ismail, Nanang
T1 Study on Error Correction Capability of Simple Concatenated Polar Codes
JF International Journal on Advanced Science, Engineering and Information Technology
VO 10
IS 3
YR 2020
SP 899
OP 904
SN 2088-5334
PB INSIGHT - Indonesian Society for Knowledge and Human Development
K1 BER; BPSK; IR-CPC; LLR; Polar codes; RR-CPC
AB Polar codes ware mathematically proven to achieve the Shannon limit, where the error probability is reduced with the help of frozen bits. Since the frozen bits are detrimental in terms of transmission efficiency, this paper investigates the importance of the frozen bits and the possibility of being replaced by other protected bits via a concatenation with other outer channel coding schemes. We evaluate the impact of frozen bits to the capability of error correction of original Polar codes (OPC) and the concatenated Polar codes (CPC) in short block-length in terms of bit-error-rate (BER) performances. Repetition codes are used as outer channel encoder prior to the Polar codes and are divided into two schemes, i.e., (i) irregular repetition-CPC (IR-CPC) codes and (ii) regular repetition-CPC (RR-CPC) codes. We evaluate BER performances using computer simulations based on Log-Likelihood Ratio (LLR) with the modulation of Binary Phase Shift Keying (BPSK) under Additive White Gaussian Noise (AWGN) and frequency-flat Rayleigh Fading channels. We found that the OPC is better than the IR-CPC codes or RR-CPC codes for the same channel coding rate and block-length. This finding indicates that the frozen bits in OPC has strong contribution to the error correction capability of the Polar codes and may not be replaced by other bits even though the bits are protected by other channel coding schemes.
LK http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=10677
DO  - 10.18517/ijaseit.10.3.10677