Abstract
Abstract We consider parameter estimation in decentralized estimation systems with noisy channels. In such systems, the observations are quantized and transmitted to the fusion center through noisy communication channels. Since the outputs of the quantizers are very sensitive to channel noises, it is important to study the effects of the channel noises on the performance of the quantizers. By assuming that the lengths of the quantization intervals become arbitrarily small, we derive the asymptotic parameter estimation error for the decentralized estimation systems. The asymptotic error includes interaction terms which depend on both the quantization errors and the channel errors. The most significant property of the interaction terms is that they can be negative. This implies that for very noisy channels, using coarser quantizers can actually decrease the parameter estimation error.
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