Optimal sequence tampering attack strategy in FIR system identification with binary-valued observations

This paper developed the optimal attack strategy for wireless communication in binary measurement finite impulse response (FIR) systems under sequence data tampering attacks. First, the estimation error of FIR systems under sequence data tampering attacks is derived. Based on the estimation error and energy constraints, the optimal attack strategy problem is reformulated as an optimization problem. Methods for solving this problem are provided for various energy constraints and system parameters. Next, to address the implementation of the optimal attack strategy, a recursive algorithm is proposed for scenarios with limited computational resources. The discussion also explores how the optimal attack strategy can be implemented under different conditions, focusing on the continuity of the optimal attack strategy. Finally, numerical simulations are conducted to validate the effectiveness of the proposed method.