Accurate Sine-Wave Amplitude Measurements Using Nonlinearly Quantized Data

Paolo Carbone, Johan Schoukens, Istvan Kollar, Antonio Moschitta

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The estimation of the amplitude of a sine wave from the sequence of its quantized samples is a typical problem in instrumentation and measurement. A standard approach for its solution makes use of a least squares estimator (LSE) that, however, does not perform optimally in the presence of quantization errors. In fact, if the quantization error cannot be modeled as an additive noise source, as it often happens in practice, the LSE returns biased estimates. In this paper, we consider the estimation of the amplitude of a noisy sine wave after quantization. The proposed technique is based on a uniform distribution of signal phases and it does not require that the quantizer has equally spaced transition levels. The experimental results show that this technique removes the estimation bias associated with the usage of the LSE and that it is sufficiently robust with respect to small uncertainties in the known values of transition levels.

Original languageEnglish
Article number7206581
Pages (from-to)3201-3208
Number of pages8
JournalIEEE Transactions on Instrumentation and Measurement
Volume64
Issue number12
DOIs
Publication statusPublished - Dec 2015

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Keywords

  • Estimation
  • identification
  • nonlinear estimation problems
  • nonlinear quantizers
  • quantization

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering

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