Practical Design and Decoding of Parallel Concatenated Structure for Systematic Polar Codes

Zhang, Qingshuang; Liu, Aijun; Zhang, Yingxian; Liang, Xiaohu

doi:10.1109/tcomm.2015.2502246

Cited by 32 publications

(24 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Figure 5, the BLER performance of 3D-PC is given. The underlying channel is additive white Gaussian noise (AWGN) Wireless Communications and Mobile Computing 5 3 3.5 4 4.5 5 5.5 6 6.5 7 2.5…”

Section: Simulation Resultsmentioning

confidence: 99%

“…It has performance advantage with respect to original SPC. In [3], the extrinsic information transfer (EXIT) charts of different length SPC have been given. As a promotion of the above EXIT chart results, the convergence behavior of PCSPC can be analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…where G AB denotes the submatrix of G with row indexes in A and column indexes belonging to B. As to SPC, the systematic bits x B are known and k A are also known and set to zero; thus k A can be calculated according to (3):…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Adding a Rate‐1 Third Dimension to Parallel Concatenated Systematic Polar Code: 3D Polar Code

Liu

Niu

Dong

et al. 2018

Wireless Communications and Mobile Computing

View full text Add to dashboard Cite

In this paper, a three-dimensional polar code (3D-PC) scheme is proposed to improve the error floor performance of parallel concatenated systematic polar code (PCSPC). The proposed 3D-PC is constructed by serially concatenating the PCSPC with a rate-1 third dimension, where only a fraction of parity bits of PCSPC are extracted to participate in the subsequent encoding. It takes full advantage of the characteristics of parallel concatenation and serial concatenation. In addition, the convergence behavior of 3D-PC is analyzed by the extrinsic information transfer (EXIT) chart. The convergence loss between PCSPC ( = 0) and different provides the reference for choosing the value of for 3D-PC. Finally, the simulation results confirm that the proposed 3D-PC scheme lowers the error floor.

show abstract

Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adding a Rate‐1 Third Dimension to Parallel Concatenated Systematic Polar Code: 3D Polar Code

Liu

Niu

Dong

et al. 2018

Wireless Communications and Mobile Computing

View full text Add to dashboard Cite

show abstract

“…The d min of a systematic polar code is determined based on weights of its rows, whose indices are elements of A I . This is given by [14], [15]:…”

Section: Polar Codesmentioning

confidence: 99%

A Modiﬁed Approach to Punctured Product Polar Codes

Hanif¹,

Vafi²

2019

JTIT

View full text Add to dashboard Cite

A high-performance polar code introduced as a product polar code can be constructed by concatenating two short length polar codes. The punctured structure of this code was achieved by puncturing one of its constituent codes. The constructed polar code provided better performance than a single polar code in the error ﬂoor region. However, its performance in the waterfall region was not as good as that of single polar codes. This paper proposes a new puncturing algorithm for product codes constructed by two identical polar codes. Puncturing is conducted on both constituent codes, to ensure that the new code outperforms the previously punctured product polar and single polar codes. This is evident in both waterfall and error ﬂoor regions.

show abstract

“…Constructed code has high performance at the expense of high complexity. Alternatively, a parallel concatenated code was presented by combining a polar code with a Recursive Systematic Convolutional (RSC) code [10]. Codes obtained by this method conclude a performance better than other well-known codes (turbo codes and LDPC codes), mainly at the error floor region due to utilizing a modified interleaver, which is matched with specifications of the constituent RSC code.…”

Section: Introductionmentioning

confidence: 99%

A Novel Scheme of Product Polar Codes with High Efficiency and Rate Compatibility

Hanif

Vafi

2020

Wireless Communications and Mobile Computing

View full text Add to dashboard Cite

This paper presents a new structure of product codes formed by combining two polar codes. The encoding performance of these codes is verified by implementing an exhaustive search algorithm, which determines their minimum weight specifications. Conducted analysis and simulations confirm that with the equal code length and rate, the newly proposed codes outperform the conventional polar codes in high energy per bit-to-noise ratios (Eb/N0≤5 dB). This is concluded from punctured and nonpunctured product codes.

show abstract

Practical Design and Decoding of Parallel Concatenated Structure for Systematic Polar Codes

Cited by 32 publications

References 22 publications

Adding a Rate‐1 Third Dimension to Parallel Concatenated Systematic Polar Code: 3D Polar Code

Adding a Rate‐1 Third Dimension to Parallel Concatenated Systematic Polar Code: 3D Polar Code

A Modiﬁed Approach to Punctured Product Polar Codes

A Novel Scheme of Product Polar Codes with High Efficiency and Rate Compatibility

Contact Info

Product

Resources

About