This paper investigates the state estimation problem for a class of two time-scale cyber-physical systems. A binary symmetric channel (BSC) associated with the binary encoding transmission (BCT) scheme is highlighted to enhance the reliability of data transmission. While binary bit strings are being transmitted through memoryless BSC, random error codes due to channel noise may occur. In light of this, a novel BCT-based state estimator is put forth, guaranteeing that the estimation error exponentially ultimately bounded in the mean square sense. To alleviate the numerical stiffness resulting from the two-time-scale property, a novel parameter-based Lyapunov function is developed, along with corresponding parameter-based criteria. Finally, a simulation example is provided to confirm that the theoretical results are valid.
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