While molecular communication via diffusion experiences significant inter-symbol interference (ISI), recent work suggests that ISI can be mitigated via time differentiation pre-processing which achieves pulse narrowing. Herein, the approach is generalized to higher order differentiation. The fundamental trade-off between ISI mitigation and noise amplification is characterized, showing the existence of an optimal derivative order that minimizes the bit error rate (BER). Theoretical analyses of the BER and a signal-to-interference-plus-noise ratio are provided, the derivative order optimization problem is posed and solved for threshold-based detectors. For more complex detectors which exploit a window memory, it is shown that derivative pre-processing can strongly reduce the size of the needed window. Extensive numerical results confirm the accuracy of theoretical derivations, the gains in performance via derivative pre-processing over other methods and the impact of the optimal derivative order. Derivative pre-processing offers a low complexity/high-performance method for reducing ISI at the expense of increased transmission power to reduce noise amplification.
翻译:虽然通过扩散进行分子交流的经验具有重大的符号间干扰(ISI),但最近的工作表明,通过时间差异化的预处理,使脉冲缩小,可以减少三离异性能,因此,这种方法普遍适用于更高的顺序差异;减少三离异性能和噪声放大之间的基本权衡具有特征,表明存在着最佳衍生物定单,可以尽量减少比特误率(BER)。对BER的理论分析和信号到干涉+噪声比率提供了理论分析,提出了衍生物订单优化问题,并解决了临界探测器的问题。对于利用窗口内存的更复杂的探测器,可以证明衍生物预处理可大大缩小所需窗口的大小。广泛的数字结果证实了理论衍生物的准确性、通过衍生物预处理其他方法取得的业绩收益以及最佳衍生物定单的影响。衍生物预处理提供了一种低复杂性/高性能的方法,以牺牲增加传输能力减少噪音振动为代价,从而降低一离子化。