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A unified mathematical formula is derived for Hexagonal Signal Constellation (HSC) of arbitrary rank, which leads to several interesting theoretical and practical implications. First, we prove that given a certain normalized peak amplitude A_K, the amount of available constellation points B_K is previously underestimated. Second, we re-evaluate the uncoded Symbol Error Rate (SER) of HSC of arbitrary...
For high-speed digital receivers, the crucial problem is to find a parallel carrier synchronization algorithm, but the traditional carrier synchronization methods based on phase-locked loop (PLL) are difficult to be parallel implemented. In this paper, we propose a parallelizable carrier synchronization algorithm based on maximum likelihood estimation (MLE). The simulation results show that the performances...
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