浓度调制信号近似最大后验解调的分子电路设计
Designing molecular circuits for approximate maximum a posteriori demodulation of concentration modulated signals
摘要：
基于活细胞使用分子电路（即一组化学反应）进行信息处理的事实，本文研究了用于解调的分子电路的设计问题。在我们早期的工作中，我们使用马尔可夫方法来推导基于扩散的分子通信的解调器。解调滤波器采用常微分方程的形式，其计算发送的传输符号的对数后验概率。这项工作考虑实现这些解调滤波器使用分子电路假设的传输符号是矩形脉冲相同的持续时间，但不同的幅度，即浓度调制。本文作出了一些贡献。首先，我们使用时间尺度分离和更新理论，解析推导出一个近似的解调滤波器，从我们以前的工作。其次，我们提出了一种方法，把这种近似成一个分子电路。通过模拟，我们证明了当对数后验概率为正时，导出的分子电路的输出近似等于由精确解调滤波器计算的对数后验概率。第三，我们证明了酵母中的生化电路的行为类似于衍生的分子解调滤波器，因此是用于实现衍生滤波器的候选者。
英文摘要：
Motivated by the fact that living cells use molecular circuits (i.e. a set of chemical reactions) for information processing, this paper investigates the problem of designing molecular circuits for demodulation. In our earlier work, we use a Markovian approach to derive a demodulator for diffusion-based molecular communication. The demodulation filters take the form of an ordinary differential equation which computes the log-posteriori probability of a transmission symbol being sent. This work considers the realisation of these demodulation filters using molecular circuits assuming the transmission symbols are rectangular pulses of the same duration but different amplitudes, i.e. concentration modulation. This paper makes a number of contributions. First, we use time-scale separation and renewal theory to analytically derive an approximation of the demodulation filter from our earlier work. Second, we present a method to turn this approximation into a molecular circuit. By using simulation, we show that the output of the derived molecular circuit is approximately equal to the log-posteriori probability calculated by the exact demodulation filter if the log-posteriori probability is positive. Third, we demonstrate that a biochemical circuit in yeast behaves similarly to the derived molecular demodulation filter and is therefore a candidate for implementing the derived filter.
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