Performance of Polar Codes with the Construction using Density Evolution

Mori, Ryusaburo; Tanaka, Toshiyuki

doi:10.1109/lcomm.2009.090428

Cited by 392 publications

(228 citation statements)

References 3 publications

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“…In [14], each step of SC is regarded as a BP decoding, where a decoding process of ith bit is regarded as a depthn tree. Furthermore, the decoding tree is characterized by the binary expansion b n · · · b 1 of (i − 1), such that nodes at depth-t of the decoding tree are check nodes and variable nodes if b t = 0 and b t = 1, respectively.…”

Section: Successive-cancellation (Sc) Decodingmentioning

confidence: 99%

“…Density evolution (DE) is an important analytical tool for graph codes with message-passing decoding algorithms. The DE for polar codes based on the message passing in SC decoding graph is proposed in [14], which provides a preferable guidance to construct polar codes for obtaining better performance. In the process of the code construction, the selection of an information set is a key factor that impacts the performance of polar codes.…”

Section: Introductionmentioning

confidence: 99%

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Novel polar-coded space-time transmit diversity scheme over Rician fading MIMO channels

Feng

Jiao

et al. 2018

J Wireless Com Network

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In this paper, a polar-coded space-time transmit diversity (STTD) scheme is proposed in order to improve the performance of multiple-input multiple-output (MIMO) system. In Rician fading MIMO channels, the corresponding polar-coded STTD system can be equivalent to a single transmission channel for each polar code bit. Density evolutions for the polar-coded STTD systems are proposed based on the analyses of the single transmission channel. The proposed density evolutions provide preferable guidance to construct polar codes for the polar-coded STTD systems. Simulation results show that the BER performance of polar-coded STTD system is significantly improved as the number of antennas increases and the influence of the variable Rician K-factor of MIMO channels gradually vanishes. The proposed 2 × 2 polar-coded STTD system can provide better frame error rate (FER) performance than low-density parity-check (LDPC)-based system under low and mid code rates, and the average advantage is 0.3 dB approximately when the code rate is 0.25 and 0.2 dB when the code rate is 0.5.

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Section: Successive-cancellation (Sc) Decodingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Novel polar-coded space-time transmit diversity scheme over Rician fading MIMO channels

Feng

Jiao

et al. 2018

J Wireless Com Network

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show abstract

“…To prove (9), we focus on the second bit channel W ≤ I W (1) However, ambiguity remains about whether (9) and (10) are true based on this relation and (11), since there are no additional conditions on the qualities of transmit channels W (i) , i ∈ [1, N] that make them order with measures of the symmetric capacity I(·) or the Bhattacharyya parameter Z(·). Now, we can consider three necessary conditions for (9) and (10) to be true: (1) I W (1) …”

Section: Evolution Of Symmetric Capacitiesmentioning

confidence: 99%

Polar codes for non-identically distributed channels

Kim

Lee

2016

J Wireless Com Network

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We introduce new polar coding schemes for independent non-identically distributed parallel binary discrete memoryless channels. The first scheme is developed for the case where underlying channels are time invariant (the case of a deterministic channel parameters), while the other schemes deal with a scenario where underlying channels change based on a distribution (the case of random channel parameters). For the former case, we also discuss the importance of the usage of an interleaver Q to enhance system reliability, and for the latter case, we model the channel behavior of binary erasure channels. It is shown that the proposed polar coding schemes achieve a symmetric capacity.

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“…To date, much of the work has addressed several theoretical aspects of polar codes and is aimed at improving the error correction performance of polar codes of moderate lengths [2][3][4][5][6][7]. However, few publications have reported implementation of polar decoders.…”

Section: Introductionmentioning

confidence: 99%

High-Throughput Low-Complexity Successive-Cancellation Polar Decoder Architecture using One's Complement Scheme

Kim¹,

Yun²,

Ajaz³

et al. 2015

JSTS:Journal of Semiconductor Technology and Science

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Abstract-This paper presents a high-throughput lowcomplexity decoder architecture and design technique to implement successive-cancellation (SC) polar decoding. A novel merged processing element with a one's complement scheme, a main frame with optimal internal word length, and optimized feedback part architecture are proposed. Generally, a polar decoder uses a two's complement scheme in merged processing elements, in which a conversion between two's complement and sign-magnitude requires an adder. However, the novel merged processing elements do not require an adder. Moreover, in order to reduce hardware complexity, optimized main frame and feedback part approaches are also presented. A (1024, 512) SC polar decoder was designed and implemented using 40-nm CMOS standard cell technology. Synthesis results show that the proposed SC polar decoder can lead to a 13% reduction in hardware complexity and a higher clock speed compared to conventional decoders.

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Performance of Polar Codes with the Construction using Density Evolution

Cited by 392 publications

References 3 publications

Novel polar-coded space-time transmit diversity scheme over Rician fading MIMO channels

Novel polar-coded space-time transmit diversity scheme over Rician fading MIMO channels

Polar codes for non-identically distributed channels

High-Throughput Low-Complexity Successive-Cancellation Polar Decoder Architecture using One's Complement Scheme

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