We develop a new algorithm for activity detection grant-free multiple access in distributed multiple-input multiple-output (MIMO). The is version of the approximate message passing (AMP) based on soft combination likelihood ratios computed independently at points. underpinning theoretical basis our observation that we made about state evolution AMP. Specifically, with minimum mean-square error ...

Eigenvectors of matrices on a network have been used for understanding influence vertex and spectral clustering. For with small geodesic-width their given eigenvalues, we propose preconditioned gradient descent algorithms in this paper to find eigenvectors. We also consider synchronous implementation the proposed at vertex/agent level spatially distributed which each agent has limited data proc...

in this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)d^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the banach algebras. this proof is given in two cases of the continuous and discontinuous function $g$, under the generalized lipschitz and caratheodory conditions.