Signal estimation and threshold optimization using an array of bithreshold elements

TL;DR

This paper analyzes how to optimize signal transmission in multi-channel noisy systems using an array of bithreshold devices, deriving a relation between the optimal threshold and noise level applicable to various input regimes.

Contribution

It introduces an analytical approximation linking the optimal threshold to noise standard deviation in bithreshold device arrays, enhancing signal processing strategies.

Findings

Optimal threshold is approximately 0.63 times the noise standard deviation.

The relation holds for both subthreshold and suprathreshold inputs.

Provides a theoretical basis for threshold setting in noisy multi-channel systems.

Abstract

We consider the problem of optimizing signal transmission through multi-channel noisy devices. We investigate an array of bithreshold noisy devices which are connected in parallel and convergent on a summing center. Utilizing the concept of noise-induced linearization we derive an analytical approximation of the normalized power norm and clarify the relation between the optimum threshold and the standard deviation of noises. We show that the optimum threshold value is 0.63 times the standard deviation of the noises. This relation is applicable to both subthreshold and suprathreshold inputs.