论文标题
具有基于级别的信号传导的约束代码的功率谱：克服有限长度挑战
Power Spectra of Constrained Codes with Level-Based Signaling: Overcoming Finite-Length Challenges
论文作者
论文摘要
受限的代码用于消除各种实用系统中易用错误的模式。最近，我们引入了有效的二进制对称词典词典的约束（LOCO）代码和不对称的Loco（A-Loco）代码，以通过消除相关的有害模式来增加磁记录系统中的密度和闪存系统中的寿命。由于其应用，Loco和A-Loco代码与基于级别的信号传导相关联。研究具有某些特性的随机信号的功率谱是任何存储或传输系统的主要内容。在本文中，我们首先修改了文献中的框架，以引入一种方法来得出与基于级别的信号相关的一系列约束数据的功率谱。我们将方法应用于满足对称和不对称约束的无限长序列。接下来，我们将展示如何概括该方法，以便它适用于有限长度的代码字流。我们使用广义方法为有限长度机车的光谱和A-Loco代码从其过渡图中设计了封闭形式。我们的Loco和A-Loco光谱派生可以针对任何代码长度执行，并且可以扩展到其他受约束的代码。我们绘制这些功率谱，并讨论Loco和A-Loco代码的各种重要频谱特性。
Constrained codes are used to eliminate error-prone patterns in various practical systems. Recently, we introduced efficient binary symmetric lexicographically-ordered constrained (LOCO) codes and asymmetric LOCO (A-LOCO) codes to increase density in magnetic recording systems and lifetime in Flash systems by eliminating the relevant detrimental patterns. Due to their application, LOCO and A-LOCO codes are associated with level-based signaling. Studying the power spectrum of a random signal with certain properties is principal for any storage or transmission system. In this paper, we first modify a framework from the literature in order to introduce a method to derive the power spectrum of a sequence of constrained data associated with level-based signaling. We apply our method to infinitely long sequences satisfying symmetric and asymmetric constraints. Next, we show how to generalize the method such that it works for a stream of finite-length codewords. We use the generalized method to devise closed forms for the spectra of finite-length LOCO and A-LOCO codes from their transition diagrams. Our LOCO and A-LOCO spectral derivations can be performed for any code length and can be extended to other constrained codes. We plot these power spectra, and discuss various important spectral properties for both LOCO and A-LOCO codes.
