Exact pre-scheduling SINR analysis for per-user unitary rate control systems
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The exact probability density function (PDF) of the pre-scheduling signal-to-interference-plus-noise ratio (SINR) for per-user unitary rate control (PU2RC) systems is derived. A main contribution is proposing a novel dimension-reducing-type function to resolve the key problem, i.e. within a multi-dimensional complex space, to obtain the PDF of a unit isotropic vector's maximum projection on vectors of an orthonormal basis. Even if PU2RC systems are only considered, the proposed function is quite useful for the analysis of other orthogonal beams-based MIMO systems as well. Monte Carlo simulations validate the analysis results.