Abstract
Security in the context of molecular communication systems is an important design aspect that has not attracted much attention till date. This letter analyzes the information-theoretic secrecy of diffusive molecular timing channels when the distance of the eavesdropper is assumed to be random and uniformly distributed. Using an existing upper bound on the timing channel capacity, we calculate the optimal secrecy rate and optimal transmission rate for Bob which would help in achieving an improved secrecy throughput performance. Based on this optimal rate, we calculate the maximum achievable throughput. We then use this formulation to minimize the generalized secrecy outage probability (GSOP) by simultaneously maximizing the average fractional equivocation and minimizing the average information leakage rate. The numerical results show that while choosing the system parameters, there is always a trade-off between different performance metrics like GSOP, average fractional equivocation, and average information leakage rate. The proposed secrecy optimization provides a robust understanding of the physical layer secrecy at the molecular level, enabling the design of secure molecular communication systems.
Highlights
Traditional communication engineering research has mostly focused on the transmission of information from the transmitter to the receiver using electromagnetic (EM) waves travelling over wired, wireless, or optical media
We study the optimal values for the secrecy and Bob’s rate, which minimizes the generalized secrecy outage probability (GSOP), maximizes the average fractional equivocation, and minimizes average information leakage rate
Based on the mathematical analysis presented in the previous section, we present the numerical results for the proposed system model to validate the effect of optimal secrecy rate and optimal transmission rate for Bob that would minimize generalized secrecy outage, maximize average fractional equivocation and minimize average information leakage rate respectively
Summary
The stability of a Lévy distributed random variable results in the nonexistence of finite moments, making it difficult to characterize and analyze the drift-free diffusive MC channels To overcome this problem, the use of exponentially truncated Lévy statistics for obtaining the capacity bounds in diffusive molecular timing channel was first discussed in [14]. In the case of MC, the computational and transmission capabilities of the devices involved is minimal, making the security introduced at the physical layer a handy, easy to implement tool to combat the menace of Eve as the random motion of the information molecules increases the probability of a molecule getting absorbed by Eve rather than by Bob. In this work, we consider a purely diffusive molecular timing channel and derive the optimal design parameters (optimal secrecy and Bob’s transmission rates) which would be useful for minimizing the generalized secrecy outage probability (GSOP), maximizing average fractional equivocation, and minimizing average information leakage rate. Note that in this work, we use the terms information molecule and information particle interchangeably
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More From: IEEE Transactions on Molecular, Biological and Multi-Scale Communications
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