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Cochlear implants, also known as bionic ears, are surgically implanted biomedical devices that can provide hearing to some deaf people by direct electrical stimulation of the auditory nerve. A crucial question for the design of future cochlear implants is that of how many electrodes might achieve optimal hearing performance in patients. It is efficient to avoid using more electrodes if this does not...
We consider a network of sensors whose decisions are used to discriminate between two alternative hypotheses, after communication over a multiaccess channel. Each sensor makes independent local binary decisions. Using a distance measure, we consider optimizing the entire network under the assumption that sensors are grouped into classes with identical characteristics. We prove that it can be optimal...
Stochastic Pooling Networks (SPN) were recently introduced as a general conceptual framework for modeling surprising nonlinear interactions between redundancy and two forms of dasianoisepsila: lossy compression and randomness. The SPN approach arose from studies of biological signal transduction by populations of sensory neurons, but is also suitable for modeling several modern communications and...
Recent work in the statistical physics literature has demonstrated an intriguing noise-enhanced signal transmission phenomenon known as Suprathreshold Stochastic Resonance (SSR). This occurs in a simple network of threshold devices designed to capture the most important properties of biological signal transduction in sensory neurons, as well as artificial sensors like sonar arrays. It has been demonstrated,...
It is well known that averaging N independently noisy versions of an otherwise constant signal, x, reduces the rms value of the noise by a factor of radicN, regardless of the distribution of the noise. However, this result applies exactly only if each noisy version of the signal can be added together with infinite precision. If averaging is performed after digitisation, the nonlinearity imposed by...
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