Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Secure Event-triggered MolecularvCommunication - Information Theoretic Perspective and Optimal Performance

Wafa Labidi, Vida Gholamian, Yaning Zhao, Christian Deppe, Holger Boche

TL;DR

This work analyzes event-triggered molecular communication through randomized and secure identification over discrete-time Poisson channels. It proves that randomized identification capacity equals the Shannon (transmission) capacity for the DTPC under peak and average power constraints, and extends this insight to state-dependent DTPCs and the Poisson wiretap channel, establishing strong secrecy and a corresponding SID-capacity relation. A constructive approach shows that secure identification capacity matches transmission capacity whenever secrecy is feasible, emphasizing the efficiency gains of RI in MC. The results offer a theoretical foundation for secure, energy-efficient, event-driven molecular communications with potential biomedical applications, while outlining avenues for incorporating ISI and finite-blocklength effects.

Abstract

Molecular Communication (MC) is an emerging field of research focused on understanding how cells in the human body communicate and exploring potential medical applications. In theoretical analysis, the goal is to investigate cellular communication mechanisms and develop nanomachine-assisted therapies to combat diseases. Since cells transmit information by releasing molecules at varying intensities, this process is commonly modeled using Poisson channels. In our study, we consider a discrete-time Poisson channel (DTPC). MC is often event-driven, making traditional Shannon communication an unsuitable performance metric. Instead, we adopt the identification framework introduced by Ahlswede and Dueck. In this approach, the receiver is only concerned with detecting whether a specific message of interest has been transmitted. Unlike Shannon transmission codes, the size of identification (ID) codes for a discrete memoryless channel (DMC) increases doubly exponentially with blocklength when using randomized encoding. This remarkable property makes the ID paradigm significantly more efficient than classical Shannon transmission in terms of energy consumption and hardware requirements. Another critical aspect of MC, influenced by the concept of the Internet of Bio-NanoThings, is security. In-body communication must be protected against potential eavesdroppers. To address this, we first analyze the DTPC for randomized identification (RI) and then extend our study to secure randomized identification (SRI). We derive capacity formulas for both RI and SRI, providing a comprehensive understanding of their performance and security implications.

Secure Event-triggered MolecularvCommunication - Information Theoretic Perspective and Optimal Performance

TL;DR

This work analyzes event-triggered molecular communication through randomized and secure identification over discrete-time Poisson channels. It proves that randomized identification capacity equals the Shannon (transmission) capacity for the DTPC under peak and average power constraints, and extends this insight to state-dependent DTPCs and the Poisson wiretap channel, establishing strong secrecy and a corresponding SID-capacity relation. A constructive approach shows that secure identification capacity matches transmission capacity whenever secrecy is feasible, emphasizing the efficiency gains of RI in MC. The results offer a theoretical foundation for secure, energy-efficient, event-driven molecular communications with potential biomedical applications, while outlining avenues for incorporating ISI and finite-blocklength effects.

Abstract

Molecular Communication (MC) is an emerging field of research focused on understanding how cells in the human body communicate and exploring potential medical applications. In theoretical analysis, the goal is to investigate cellular communication mechanisms and develop nanomachine-assisted therapies to combat diseases. Since cells transmit information by releasing molecules at varying intensities, this process is commonly modeled using Poisson channels. In our study, we consider a discrete-time Poisson channel (DTPC). MC is often event-driven, making traditional Shannon communication an unsuitable performance metric. Instead, we adopt the identification framework introduced by Ahlswede and Dueck. In this approach, the receiver is only concerned with detecting whether a specific message of interest has been transmitted. Unlike Shannon transmission codes, the size of identification (ID) codes for a discrete memoryless channel (DMC) increases doubly exponentially with blocklength when using randomized encoding. This remarkable property makes the ID paradigm significantly more efficient than classical Shannon transmission in terms of energy consumption and hardware requirements. Another critical aspect of MC, influenced by the concept of the Internet of Bio-NanoThings, is security. In-body communication must be protected against potential eavesdroppers. To address this, we first analyze the DTPC for randomized identification (RI) and then extend our study to secure randomized identification (SRI). We derive capacity formulas for both RI and SRI, providing a comprehensive understanding of their performance and security implications.

Paper Structure

This paper contains 8 sections, 5 theorems, 94 equations, 4 figures, 1 table.

Table of Contents

  1. Introduction
  2. System Models and Main Results
  3. The DTPC
  4. The DTPWC
  5. Strong Secrecy
  6. Proof of Theorem \ref{['theorem:randomizedID']}
  7. Proof of Theorem \ref{['theorem:DichotomyTheorem']}
  8. Conclusions

Key Result

Theorem 5

The RI capacity $C_{ID}(W,P_{\text{max}},P_{\text{avg}})$ of the channel $W$ under peak and average power constraints $P_{\text{max}}$ and $P_{\text{avg}}$, respectively, is given by

Figures (4)

  • Figure 1: Discrete-time memoryless Poisson channel with random state
  • Figure 2: Degraded DTPWC.
  • Figure 3: Cell-Based Wiretap Model in Molecular Communications
  • Figure 4: Code construction for the wiretap channel.

Theorems & Definitions (17)

  • Definition 1
  • Definition 2
  • Definition 3
  • Definition 4
  • Theorem 5
  • Definition 6
  • Definition 7
  • Corollary 8
  • proof
  • Definition 9
  • ...and 7 more