一种基于递归的短包传输信噪比确定方法：分析与应用
A Recursion-Based SNR Determination Method for Short Packet Transmission: Analysis and Applications
AI总结：
本文针对短包传输中信噪比难以显式确定和优化的问题，提出基于递归的信噪比确定方法，分析其收敛速度与函数性质，并验证其低复杂度、快速收敛和接近最优解的性能。
摘要：
短包传输（SPT）近年来受到了广泛关注。在短包传输中，最显著的特点是采用了有限块长编码（FBC）。采用有限块长编码时，信噪比（SNR）无法表示为关于其他传输参数的显式函数。这给短包传输中的资源分配带来了以下两个问题：（i）信噪比的精确值难以确定；（ii）信噪比关于其他参数的性质难以分析，从而阻碍了对这些参数的高效优化。为了同时解决这些问题，我们在先前的工作中提出了一种递归方法。为了强调该方法的重要性，本文进一步分析了递归方法的收敛速度，并研究了递归函数的性质。具体而言，我们首先分析了递归方法的收敛速度，结果表明该方法能够以低复杂度确定信噪比。然后，我们分析了递归函数的性质，这有助于在递归过程中优化其他参数。最后，我们还列举了递归方法的一些应用。仿真结果表明，该递归方法比其他信噪比确定方法收敛得更快。此外，结果还表明，基于递归的方法几乎能够达到应用场景中的最优解。
英文摘要：
The short packet transmission (SPT) has gained much attention in recent years. In SPT, the most significant characteristic is that the finite blocklength code (FBC) is adopted. With FBC, the signal-to-noise ratio (SNR) cannot be expressed as an explicit function with respect to the other transmission parameters. This raises the following two problems for the resource allocation in SPTs: (i) The exact value of the SNR is hard to determine, and (ii) The property of SNR w.r.t. the other parameters is hard to analyze, which hinders the efficient optimization of them. To simultaneously tackle these problems, we have developed a recursion method in our prior work. To emphasize the significance of this method, we further analyze the convergence rate of the recursion method and investigate the property of the recursion function in this paper. Specifically, we first analyze the convergence rate of the recursion method, which indicates it can determine the SNR with low complexity. Then, we analyze the property of the recursion function, which facilitates the optimization of the other parameters during the recursion. Finally, we also enumerate some applications for the recursion method. Simulation results indicate that the recursion method converges faster than the other SNR determination methods. Besides, the results also show that the recursion-based methods can almost achieve the optimal solution of the application cases.
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