Markov State--Space Modeling and Channel Characterization for DNA-Based Molecular Communication

📅 2026-03-24
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This work addresses inter-symbol interference and colored counting noise arising from reversible hybridization in DNA-based molecular communication, as well as the absence of a communication-oriented channel model tailored for microarray receivers. To this end, the authors propose a Markovian state-space framework based on voxelized reaction–diffusion dynamics that jointly characterizes molecular propagation, binding/unbinding kinetics, and channel memory effects. A block-structured transition matrix is introduced for the first time to derive an observation model for on-off keying signaling and to obtain a closed-form expression for the counting noise covariance. Building upon this foundation, a differential threshold detector and a finite-memory decision-feedback equalizer are designed. Simulations validate the theoretical analysis of noise correlation and demonstrate that the proposed receiver architecture achieves significant and complementary performance gains across diverse channel memory mechanisms.

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📝 Abstract
In this paper, we study DNA-based molecular communication with microarray-style reception under reversible hybridization, where the bound-state observation exhibits both inter-symbol interference and colored counting noise. To capture these effects in a communication-oriented form, we develop a Markov state-space framework based on a voxelized reaction--diffusion model, in which a block-structured transition matrix describes molecular transport and binding/unbinding dynamics. For the microarray specialization, this representation yields the channel impulse response, the equilibrium gain, and a settling-time-based characterization of the effective channel memory. Building on the resulting symbol-rate observation model for on--off keying, we derive a grouped-binomial counting model and obtain a closed-form expression for the covariance of the counting noise. Based on these statistics, we further develop a differential-threshold detector and a finite-memory decision-feedback equalizer. Numerical results validate the theoretical correlation behavior and show that the relative performance of the proposed receivers depends strongly on the channel-memory regime.
Problem

Research questions and friction points this paper is trying to address.

DNA-based molecular communication
inter-symbol interference
colored counting noise
channel characterization
reversible hybridization
Innovation

Methods, ideas, or system contributions that make the work stand out.

Markov state-space modeling
DNA-based molecular communication
reversible hybridization
colored counting noise
decision-feedback equalizer
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