<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The article presents the possibilities of using the function of conditional average value of a delayed signal (CAV) and the function of conditional average value of a delayed signal absolute value (CAAV) to determine the time delay estimation (TDE) of random signals. For discrete CAV and CAAV estimators, the standard uncertainties of the estimation of function values at extreme points and the standard uncertainties of the TDE were given and compared with the corresponding uncertainties for the direct discrete cross-correlation function (CCF) estimator. It was found that the standard uncertainty of TDE for CAV is lower than for CCF independent of signal-to-noise ratio (SNR) for parameter values of α ≥ 2 and M/N ≥ 0.25 (where: α - relative threshold value, M/N - quotient of number of averaging and number of samples). The standard uncertainty of TDE for CAAV will be lower than for CCF for SNR values greater than 0.35 (for N/M = 1).</p></abstract>

The article presents the possibilities of using the function of conditional average value of a delayed signal (CAV) and the function of conditional average value of a delayed signal absolute value (CAAV) to determine the time delay estimation (TDE) of random signals. For discrete CAV and CAAV estimators, the standard uncertainties of the estimation of function values at extreme points and the standard uncertainties of the TDE were given and compared with the corresponding uncertainties for the direct discrete cross-correlation function (CCF) estimator. It was found that the standard uncertainty of TDE for CAV is lower than for CCF independent of signal-to-noise ratio (SNR) for parameter values of α ≥ 2 and M/N ≥ 0.25 (where: α - relative threshold value, M/N - quotient of number of averaging and number of samples). The standard uncertainty of TDE for CAAV will be lower than for CCF for SNR values greater than 0.35 (for N/M = 1).

Application of conditional averaging to time delay estimation of random signals

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Application of conditional averaging to time delay estimation of random signals"}

The article presents the possibilities of using the function of conditional average value of a delayed signal (CAV) and the function of conditional average...

Application of conditional averaging to time delay estimation of random signals

Published Online: Aug 14, 2018

Page range: 130 - 137

Received: Feb 02, 2018

Accepted: Jul 16, 2018

DOI: https://doi.org/10.1515/msr-2018-0019

Keywords
Time delay estimation, random signals, conditional averaging, cross-correlation

© 2018 Robert Hanus, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Application of conditional averaging to time delay estimation of random signals

Published Online: Aug 14, 2018

Page range: 130 - 137

Received: Feb 02, 2018

Accepted: Jul 16, 2018

DOI: https://doi.org/10.1515/msr-2018-0019

KeywordsTime delay estimation, random signals, conditional averaging, cross-correlation

© 2018 Robert Hanus, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Time delay estimation, random signals, conditional averaging, cross-correlation