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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} }
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%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.
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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