Pomiar szumu w szumie metodą korelacyjną

Lal-Jadziak, J.

doi:10.15199/48.2016.11.44

Cited by 2 publications

(1 citation statement)

References 3 publications

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“…Such formulas are not comparable with those given in this paper. Moreover, in previous works the estimation of the ACF focused on a special case of this function, i.e., the mean squared value (MSV) of random signals (Lal-Jadziak and Sienkowski, 2008;2009) or a single realization of the ACF of a sinusoidal signal without noise (Sienkowski and Kawecka, 2013). In the paper by Lal-Jadziak and Sienkowski (2009), it was shown that the variance of the MSV estimator can be calculated using moments of random variables.…”

Section: Introductionmentioning

confidence: 99%

On the statistical analysis of the harmonic signal autocorrelation function

Sienkowski,

Krajewski

2021

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The article presents new tools for investigating the statistical properties of the harmonic signal autocorrelation function (ACF). These tools enable identification of the ACF estimator errors in measurements in which the triggering of the measurements is non-synchronized. This is important because in many measurement situations the initial phase of the measured signal is random. The developed tools enable testing the ACF estimator of a harmonic signal in the presence of Gaussian noise. These are the formulas on the basis of which the statistical properties of the estimator can be determined, including the bias, the variance and the mean squared error (MSE). For comparison, the article also presents the ACF statistical analysis tools used in the conditions of synchronized measurement triggering, known from the literature. Operation of the new tools is verified by simulation and experimental studies. The conducted research shows that differences between the MSE results obtained with the use of the developed formulas and those attained from simulations and experimental tests are not greater than 1 dB.

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Section: Introductionmentioning

confidence: 99%

On the statistical analysis of the harmonic signal autocorrelation function

Sienkowski,

Krajewski

2021

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Ranging and Positioning Accuracy for Selected Correlators under VHF Maritime Propagation Conditions

Bronk¹,

Januszewska²,

Koncicki³

et al. 2022

JTIT

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The article presents an analysis of the features of selected correlators impacting the accuracy of determining the receiver’s range and position in VHF marine environment. The paper introduces the concept of various correlators – including the double delta correlator – and describes the proposed measurement scenarios that have been designed to demonstrate the effectiveness of those components. The entire work was performed as part of the R-Mode Baltic and R-Mode Baltic 2 projects, with our goals including analyzing the impact of multipath phenomena, changes in the sampling frequency or Signac type on the determination of the received signal delay at the receiver. The measured data were processed in a signal correlation application and in a TOA-based tool in order to determine the receiver’s position. This process made it possible to compare the selected correlating devices. The results presented in this article are to be used by IALA in developing a current version of the VHF data exchange system’s (VDES) specification.

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Pomiar szumu w szumie metodą korelacyjną

Cited by 2 publications

References 3 publications

On the statistical analysis of the harmonic signal autocorrelation function

On the statistical analysis of the harmonic signal autocorrelation function

Ranging and Positioning Accuracy for Selected Correlators under VHF Maritime Propagation Conditions

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