Optimization by Vector Space Methods
Optimization by Vector Space Methods
Digital Communication by Satellite
Digital Communication by Satellite
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Recent advances in the design of transponding communications satellites provide the ability to switch transponder sub-bands among multiple up-link and down-link antennas. This feature increases the flexibility of traffic routing and improves spectral re-use characteristics. A side benefit of such a new system is the capability of applying different transponder gains to carriers in different sub-channels within a given transponder. Recently, techniques have been developed for analyzing link supportability and the transponder loading with these non-homogeneous gain states. However, these new analysis techniques require that the gains be known a-priori. To complement these analysis techniques a method is needed for selecting the best gains to be used in each sub-channel. This paper presents such a method for selecting transponder gains. We define the constraining equations, which ensure that each link can be supported, and propose an optimization metric that maximizes the overall supportability. We then suggest an optimization approach that can be used to select the gains for each sub-channel and the overall transponder operating point. The approach described includes a means of selecting the starting point for the optimization. A numerical example is provided.