2,497 publications from this institution
Multi-Gb/s high-speed links face significant challenges in keeping up with the increase in desired data rates. In the evaluation of achievable data rates, it is necessary to include both link-specific noise sources and implementation driven constraints. We construct models of these noise sources and constraints in order to estimate the theoretical limits of typical high-speed link channels. In order to estimate the data rates of practical baseband architectures, we solve the power constrained optimal linear precoding problem and formulate a bit-error rate (BER) driven optimization, including all link-specific noise sources. The problem is shown to be quasiconcave, hence, a globally optimal solution is guaranteed. Using this optimization framework, we show that practical data rates are mainly limited by inter-symbol interference (ISI) due to complexity constraints on the number of precoder and equalizer taps. After these constraints are removed, we further show that slicer resolution and sampling jitter are limiting the higher bandwidth utilization provided by multi-level modulations. Better circuits are needed to improve the bandwidth utilization to more than 2bits/dimension in baseband.
Background: Until recently a typical rule that has often been used for the endorsement of new medications by the Food and Drug Administration has been the existence of at least two statistically significant clinical trials favoring the new medication. This rule has consequences for the true positive (endorsement of an effective treatment) and false positive rates (endorsement of an ineffective treatment). Methods: In this paper, we compare true positive and false positive rates for different evaluation criteria through simulations that rely on (1) conventional p-values; (2) confidence intervals based on meta-analyses assuming fixed or random effects; and (3) Bayes factors. We varied threshold levels for statistical evidence, thresholds for what constitutes a clinically meaningful treatment effect, and number of trials conducted. Results: Our results show that Bayes factors, meta-analytic confidence intervals, and p-values often have similar performance. Bayes factors may perform better when the number of trials conducted is high and when trials have small sample sizes and clinically meaningful effects are not small, particularly in fields where the number of non-zero effects is relatively large. Conclusions: Thinking about realistic effect sizes in conjunction with desirable levels of statistical evidence, as well as quantifying statistical evidence with Bayes factors may help improve decision-making in some circumstances.