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In this paper we study adaptive coded modulations for wireless channels. Nonlinearity due to the radio-frequency power amplifier is considered and continuous-phase modulations (CPM) are adopted in order to make the nonlinearity effects negligible. The structure and properties of CPM are reviewed in a semi-tutorial fashion and coded modulation schemes are proposed. Moreover, frequency-division multiplexing (FDM) multiuser systems employing coded CPM are considered. Modulation-coding schemes achieving increasing spectral efficiencies in a multiuser scenario with tight intercarrier frequency spacing are designed and their performance in terms of spectral efficiency and error rate is assessed.
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We study the hardness of the non-preemptive scheduling problem of a list of independent jobs on a set of identical parallel processors with a makespan minimization objective. We make a maiden attempt to explore the combinatorial structure of the problem by introducing a scheduling solution space tree (SSST) as a novel data structure. We formally define and characterize the properties of SSST through our analytical results. We show that the multiprocessor scheduling problem is N P-complete with an alternative technique using SSST and weighted scheduling solution space tree (WSSST) data structures. We propose a non-deterministic polynomial-time algorithm called magic scheduling (MS) based on the reduction framework. We also define a new variant of multiprocessor scheduling by including the user as an additional input parameter, which we called the multiuser multiprocessor scheduling problem (MUMPSP). We also show that MUMPSP is N P-complete. We conclude the article by exploring several non-trivial research challenges for future research investigations.
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