Fair Transmission Rate Allocation: A Power Control Feasibility Approach

Distributed power control algorithm for multiple access systems based on Verhulst model

“…Recently, this theory was applied to the power and rate adaptations as a feasible criterion [8,9]. In Appendix A1, the GC theory is used for the derivation of sufficient conditions in order to guarantee the feasibility of a power control mechanism.…”

“…The recursion (8) can be effectively implemented in the mobile unit i because all necessary parameters (˛i, the QoS level given by * i , the function z i (·) and the transmitted power p i [n]), except i [n], can be considered known in the mobile unit i. The SINR i [n] can be obtained only at the correspondent BS i that demodulates the signal from user i.…”

“…The Gerschgorin Circles (GC) theory [7] has been applied in many engineering problems, as radio resource management [8,9], multi-user detection by polynomial expansion, antenna selection for MIMO systems, stability analysis in control system of reduced order, likelihood estimators, chaos synchronization and so on. In [8,9] the feasibility of power control is guaranteed by spectral radius estimation of normalized link gain matrix.…”

“…In [8,9] the feasibility of power control is guaranteed by spectral radius estimation of normalized link gain matrix. Indeed, Gerschgorin's theorem constitutes a useful upper limit to estimate a spectral radius of any non-negative matrix.…”

Enhancing Performance of Multi-Rate WLANs: Ant Colony Approach

“…Some previous studies, such as [15] [16], have assumed that the user-AP associated topology will not change when adjusting the power of APs, this assumption is not the reality. On the contrary, some papers have noticed this phenomenon and developed techniques called cell breathing [17].…”