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Overview of performance lower bounds for blind frequency-offset estimation

Nele Noels (UGent) , Philippe Ciblat and Heidi Steendam (UGent)
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Abstract
This paper focuses on performance bounds for estimating the frequency and the phase of a received signal when the complex amplitude of the signal is non-constant and unknown. Receivers need to perform such an estimation in many application fields, including digital communications, direction-of-arrival estimation, and Doppler radar. While in digital communications the non-constant complex-signal amplitude is a discrete random variable related to the transmitted information bits, in many other signal-processing fields this non-constant amplitude is typically modeled as multiplicative Gaussian noise. Fundamental lower bounds on the mean square error of any frequency-offset and phase-shift estimator are continuously employed in all these application fields. They serve as a useful benchmark for judging the performance of practical estimators. We present an overview of such bounds with their respective areas of interest, and their associated derivations in closed form.

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Chicago
Noels, Nele, Philippe Ciblat, and Heidi Steendam. 2010. “Overview of Performance Lower Bounds for Blind Frequency-offset Estimation.” Radio Science Bulletin (355): 26–45.
APA
Noels, N., Ciblat, P., & Steendam, H. (2010). Overview of performance lower bounds for blind frequency-offset estimation. RADIO SCIENCE BULLETIN, (355), 26–45.
Vancouver
1.
Noels N, Ciblat P, Steendam H. Overview of performance lower bounds for blind frequency-offset estimation. RADIO SCIENCE BULLETIN. 2010;(355):26–45.
MLA
Noels, Nele, Philippe Ciblat, and Heidi Steendam. “Overview of Performance Lower Bounds for Blind Frequency-offset Estimation.” RADIO SCIENCE BULLETIN 355 (2010): 26–45. Print.
@article{1105659,
  abstract     = {This paper focuses on performance bounds for estimating the frequency and the phase of a received signal when the complex amplitude of the signal is non-constant and unknown. Receivers need to perform such an estimation in many application fields, including digital communications, direction-of-arrival estimation, and Doppler radar. While in digital communications the non-constant complex-signal amplitude is a discrete random variable related to the transmitted information bits, in many other signal-processing fields this non-constant amplitude is typically modeled as multiplicative Gaussian noise. Fundamental lower bounds on the mean square error of any frequency-offset and phase-shift estimator are continuously employed in all these application fields. They serve as a useful benchmark for judging the performance of practical estimators. We present an overview of such bounds with their respective areas of interest, and their associated derivations in closed form.},
  author       = {Noels, Nele and Ciblat, Philippe and Steendam, Heidi},
  issn         = {1024-4530},
  journal      = {RADIO SCIENCE BULLETIN},
  language     = {eng},
  number       = {355},
  pages        = {26--45},
  title        = {Overview of performance lower bounds for blind frequency-offset estimation},
  url          = {http://www.ursi.org/files/RSBissues/RSB_335_2010_12.pdf},
  year         = {2010},
}