arXiv subjects

Mostafa Jani

Publications and source records attributed to Mostafa Jani.

4 recordsLinked to original sources

arXiv2024

Securing OPEN-RAN Equipment Using Blockchain-Based Supply Chain Verification

The disaggregated and multi-vendor nature of OPEN-RAN networks introduces new supply chain security risks, making equipment authenticity and integrity crucial challenges. Robust solutions are needed to mitigate vulnerabilities in manufacturing and integration. This paper puts forth a novel blockchain-based approach to secure OPEN-RAN equipment through its lifecycle. By combining firmware authentication codes, a permissioned blockchain ledger, and equipment node validators, we architect a tamper-resistant ecosystem to track provenance. The outlined design, while conceptual, establishes a foundation and roadmap for future realization. Through careful implementation planning, development of core components like firmware signed hashes and smart contracts, and rigorous performance evaluation, this paper can evolve from concept to practice. There is a vivid potential to make OPEN-RAN supply chains corner to corner secure, igniting further research and real-world deployment.

cs.CR↗

arXiv2022

A least squares support vector regression for anisotropic diffusion filtering

Anisotropic diffusion filtering for signal smoothing as a low-pass filter has the advantage of the edge-preserving, i.e., it does not affect the edges that contain more critical data than the other parts of the signal. In this paper, we present a numerical algorithm based on least squares support vector regression by using Legendre orthogonal kernel with the discretization of the nonlinear diffusion problem in time by the Crank-Nicolson method. This method transforms the signal smoothing process into solving an optimization problem that can be solved by efficient numerical algorithms. In the final analysis, we have reported some numerical experiments to show the effectiveness of the proposed machine learning based approach for signal smoothing.

eess.SP↗

arXiv2016

Bernstein modal basis: application to the spectral Petrov-Galerkin method for fractional partial differential equations

In the spectral Petrov-Galerkin methods, the trial and test functions are required to satisfy particular boundary conditions. By a suitable linear combination of orthogonal polynomials, a basis, that is called the modal basis, is obtained. In this paper, we extend this idea to the non-orthogonal dual Bernstein polynomials. A compact general formula is derived for the modal basis functions based on dual Bernstein polynomials. Then, we present a Bernstein-spectral Petrov-Galerkin method for a class of time fractional partial differential equations with Caputo derivative. It is shown that the method leads to banded sparse linear systems for problems with constant coefficient. Some numerical examples are provided to show the efficiency and the spectral accuracy of the method.

math.NA↗

arXiv2016

Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation

In this paper, we develop a Bernstein dual-Petrov-Galerkin method for the numerical simulation of a two-dimensional fractional diffusion equation. A spectral discretization is applied by introducing suitable combinations of dual Bernstein polynomials as the test functions and the Bernstein polynomials as the trial ones. We derive the exact sparse operational matrix of differentiation for the dual Bernstein basis which provides a matrix based approach for the spatial discretization. It is shown that the method leads to banded linear systems that can be solved efficiently. The stability and convergence of the proposed method is discussed. Finally, some numerical examples are provided to support the theoretical claims and to show the accuracy and efficiency of the method.

math.NA↗