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This paper addresses the problem of identifying errors-in-variables models, where the both input and output measurements are corrupted by white noise. The Koopmans-Levin method, which is a computationally simple consistent estimation method for errors-in-variables situations, requires a priori knowledge about the values of variances or the ratio to measurement noises. To achieve the consistent estimation...
In this paper, we study a setting in which two terminals A and B respectively observe, or measure, noisy versions X̃ and Ỹ of two memoryless, possibly statistically dependent, remote sources X and Y; and they interact bidirectionally in the aim of computing functions of the remote sources. Focusing on a distributed source coding formulation, we establish characterizations of the rate-distortion region...
Single ion channel signal of cell membrane is a stochastic ionic currents in the order of picoampere (pA). Because of the weakness of the signal, the background noise always dominates in the patch-clamp recordings. The threshold detector is traditionally used to eliminate noise and restore the single channel signal. However, this method cannot work satisfactorily when signal-to-noise ratio is lower...
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