Resource Allocation for AoI-Constrained V2V Communication in Finite Blocklength Regime

The freshness of information is an important indicator for critical message exchange in vehicle-to-vehicle (V2V) communications. In this paper, we study a resource allocation problem to minimize the long-term power consumption under age of information (AoI) constraints in the finite blocklength (FBL) regime. Due to high reliability requirement, we consider the AoI violation probability which consists of decoding error probability and queue length violation probability. To ensure a short tail of the AoI distribution, we impose statistical constraints to the queue length utilizing extreme value theory (EVT). Applying Lyapunov optimization technique, the long-term problem is transformed into the drift-plus-penalty problem, which can be solved in each slot via a two-step method. In addition, in order to achieve the optimal power control and decoding error probability, we propose an efficient iterative algorithm and show the convexity of the optimization problem in each step. Simulation results show that our scheme achieves high reliability and short AoI tail compared to the baseline in the FBL regime.