Abstract-The dispersion equation governing the guided propagation of TE and TM fast wave modes of a circular cylindrical waveguide loaded by metal vanes positioned symmetrically around the wave-guide axis is derived from the exact solution of a homogeneous boundary value problem for Maxwell's equations. The dispersion equation takes the form of the solvability condition for an infinite system of linear homogeneous algebraic equations. The approximate dispersion equation corresponding to a truncation of the infinite-order coefficient matrix of the infinite system of equations to the coefficient matrix of a finite system of equations of sufficiently high order is solved numerically to obtain the cut-off wave numbers of the various propagating modes. Each cut-off wave number gives rise to a unique dispersion curve in the shape of a hyperbola in the ω-β plane.
The intention of coalescing 5G and cognitive radio is to combine the information from wireless networks, portray and grow new technologies, networks and systems that assimilate into a flexible and dynamically-operating architecture. This paper is paying attention on the specifications of future generations and latest technologies which will be used in upcoming wireless mobile communication networks. This combination of technologies has been used to coerce the better integration, adaptation, modularity and standardization. Specially, the cross layer approach is used to surpass more information across layers. Radio access technology procedures enable higher peak data rates for end users as well as higher capacity and wider coverage.
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