极点码的门连续取消翻转解码算法:设计和性能
Zhicheng Liu1, Liuquan Yao2, Shuai Yuan2
1School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China.
Entropy (Basel, Switzerland)
|June 26, 2025
概括
我们介绍了极点代码的值连续取消翻转 (Th-SCF) 解码算法. 这种方法提高了解码性能,并保持了低复杂度,为5G和未来的网络提供了实际的好处.
科学领域:
- 编码理论编码理论
- 信息理论 信息理论
- 数字通信数字通信
背景情况:
- 连续取消 (SC) 解码是极点代码的标准,但可能会受到错误传播的影响.
- 现有的SC-flip (SCF) 算法提高了性能,但可能缺乏严格的理论支持或具有高复杂性.
- 高效的解码对于5G等先进的通信系统至关重要.
研究的目的:
- 为极点代码提出一种新的解码算法,称为值连续取消翻转 (Th-SCF).
- 为了提高SC解码器的性能,同时保持低计算复杂度.
- 为Th-SCF算法提供严格的理论框架并分析其性能.
主要方法:
- 开发Th-SCF解码算法用于极性码.
- 理论分析以证明算法的延迟第一个错误位置 (FEP) 的能力.
- 通过模拟和与现有方法比较的性能评估,如动态SC翻转 (D-SCF).
主要成果:
- 理论上,Th-SCF算法可以保证FEP的非对称延迟,概率为1.
- 模拟显示,Th-SCF的性能与D-SCF相当,但由于没有分类,复杂性降低.
- 该算法在特定值范围内的各种代码长度和速率中表现出稳定的性能.
结论:
- Th-SCF算法提供了一个理论上合理且实际上高效的极性代码解码方法.
- 它为现有的SCF方法提供了有价值的替代方案,特别是在资源有限的通信系统中.
- 这些发现有助于设计5G及以后的先进解码策略.
相关概念视频
Deconvolution
263
Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
263
Downsampling
265
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
265
Routh-Hurwitz Criterion II
424
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
424
Reconstruction of Signal using Interpolation
360
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
360
Even and Odd Signals
1.4K
An even signal, whether in continuous-time or discrete-time, is defined by its symmetry with its time-reversed version. Mathematically, this is represented as
1.4K
Double Resonance Techniques: Overview
310
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Spin decoupling is usually achieved by...
310


