Performance limit for distributed estimation systems with identical one-bit quantizers

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24 Scopus citations

Abstract

Full precision Cramér-Rao lower bound (CRLB) where no quantization is assumed is often employed to evaluate and compare distributed estimation performance even though the sensor observations are quantized before any further processing. However, as it completely disregards quantization and often does not exist when the sensor observation noise is bounded, full precision CRLB is often too optimistic or not applicable. In this work, we determine the performance limit of a distributed estimation system with identical one-bit quantizers in terms of the metric minimax CRLB. The performance limit that a distributed estimation scheme with identical quantizers can achieve is found as well as the set of optimal noise distribution functions and quantizers. Compared to the full precision CRLB, the performance limit is shown to be a much tighter bound when the parameter range is relatively large and reveals the important role of the quantization system.

Original languageEnglish (US)
Article number5184907
Pages (from-to)466-471
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume58
Issue number1
DOIs
StatePublished - Jan 1 2010

Keywords

  • Cramér-rao lower bound (CRLB)
  • Distributed estimation
  • Dithered sign quantizer
  • Performance limit
  • Quantization

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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