In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...

Molecular Communication (MC) is a promising micro-scale technology that enables wireless connectivity in electromagnetically challenged conditions. The signal processing approaches MC are different from conventional communications as molecular signals suffer severe inter-symbol interference (ISI) and signal-dependent counting noise due to the stochastic diffusion process of information molecule...

We study robustness properties of some iterative gradient-based methods for strongly convex functions, as well the larger class functions with sector-bounded gradients, under a relative error model. Proofs corresponding convergence rates are based on frequency-domain criteria stability nonlinear systems. Applications given to inexact versions gradient descent and Triple Momentum Method. To furt...