Department of Electrical and Electronics Engineering

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Author: search.filters.author.Joshi, SandeepSubject: search.filters.subject.Stochastic diffusivity

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    Stochastic diffusivity with time-varying trajectory in mobile molecular communication: performance analysis and channel modeling
    (IEEE, 2025-04) Joshi, Sandeep
    This work considers a three-dimensional mobile molecular communication (MC) with intra-body disease spread applications. The communicating devices in the considered mobile MC system are point transmitters and passive spherical receiver nano-machines (NMs) with emitted information-carrying molecules following the Gaussian Brownian motion. These NMs can be used to detect the presence of disease spread and for targeted drug delivery. We propose stochastic diffusivity models for both communicating devices and information-carrying molecules. Using the stochastic diffusivity model and considering initial distance as a reference, we derive the probability density function of the relative distance between the communicating devices. We allocate the time-varying trajectory to the information-carrying molecules moving towards receiver NM and obtain its diffusivity distribution. Through the proposed stochastic diffusivity model, we characterize the mobile MC channel by channel impulse response and derive its statistical mean. We consider the discrete-time statistical channel model at a high inter-symbol interference regime and analyze the channel performance in terms of error analysis and receiver operating characteristics. We also derive the channel for the considered system model. We show the degree of accuracy through root mean square error for the Poisson and Gaussian distribution models. Furthermore, the numerical results are verified through particle-based simulations.
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    Characterization of Stochastic Diffusivity-Based Information Particles in Molecular Communication Systems
    (IEEE, 2024-07) Joshi, Sandeep
    This work considers a three-dimensional mobile molecular communication (MC) via an anomalous-diffusion-based system. The communicating devices in the considered MC system are identical and can move anomalously with emitted information-carrying molecules. We propose a stochastic diffusivity-based anomalous diffusion model which considers the non-Gaussian Brownian displacement of the molecules using the subordination approach. The proposed stochastic diffusivity model for mobile MC channels is characterized by the channel impulse response (CIR), and its mean is derived. We consider a discrete-time statistical channel model at a high inter-symbol interference regime and derive the bit error rate expressions. We also derive the asymptotic expression and upper bound of the capacity for the subordination approach. Furthermore, we show the degree of accuracy through root mean square error for the Poisson and Gaussian distributions.
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    Performance and Statistical Characterization of Stochastic Diffusion-Based Molecular Communication System
    (IEEE, 2024) Joshi, Sandeep
    This work considers a three-dimensional mobile molecular communication (MC) via diffusion-based system. The communicating devices in the considered mobile MC system can move through Gaussian Brownian movement with emitted information-carrying molecules. We propose stochastic diffusivity models for both communicating devices and information-carrying molecules. Using the stochastic diffusivity model and considering initial distance as a reference, we derive the probability density function of the relative distance between the communicating devices. Through the proposed stochastic diffusivity model, we characterize the mobile MC channel by channel impulse response (CIR) and derive its statistical mean and the bit error rate expressions. Furthermore, we show the degree of accuracy of the mean of CIR through root mean square error using the Poisson and Gaussian distribution models.
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    Characterization and Performance Optimization of Heterogeneous Media-Based Mobile Molecular Communication Systems
    (IEEE, 2024-11) Joshi, Sandeep
    In this letter, we study a three-dimensional heterogeneous media-based mobile molecular communication (MC) system, with the communicating devices as point transmitters and passive spherical-shaped receiver nano-machines. For the shorter time range, the diffusion process faces internal diffusivity fluctuations, due to which communicating devices and the information-carrying molecule’s diffusivity exhibit stochastic behavior. We propose a stochastic diffusivity-based mobile MC system model, which considers the non-Gaussian Brownian displacement of molecules and characterize it by the channel impulse response, and derive its mean. We consider the molecule’s constrained time-varying Poisson statistical diffusive channel model at a high inter-symbol interference regime and analyze the channel performance in terms of the bit error rate and channel capacity. Furthermore, the numerical results are verified through particle-based simulations.