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<p>The authors analyze the quality of recovering a signal distorted by additive noise using the Attractor Trajectory Surrogates (ATS) algorithm, which reduces the influence of additive noise in observations of signals with ASK and PSK manipulations of their parameters. To determine the numerical measure of signal recovery quality, the use of SG statistics is proposed, which allows obtaining the corresponding numerical values of the predictability index of the results of signal observation and its recovery. The methodological error of signal recovery that arises when using the ATS algorithm is obtained. It is shown that the use of SG statistics as a measure of signal recovery error makes it possible to determine its effectiveness. Numerical values of signal recovery errors are obtained, and the methodological errors of the ATS algorithm for ASK and PSK signals manipulated by “white” and “color” messages are analyzed. It is found that the algorithm parameters affect the signal recovery error. Recommendations are given for the parameters of the ATS algorithm that enhance its efficiency in terms of sensitivity to noise levels and their distributions. It is shown that the contribution of the methodological error to the signal recovery error decreases with increasing noise level. When using the proposed ATS algorithm, higher average values of SG statistics are obtained.</p>

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Quality Assessment of Noise Reduction in Signals with Amplitude and Phase Manipulation Using the ATS Algorithm

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • P. Kostenko,
  • K. Vasiuta,
  • V. Slobodyanuk,
  • R. Kachailo

摘要

The authors analyze the quality of recovering a signal distorted by additive noise using the Attractor Trajectory Surrogates (ATS) algorithm, which reduces the influence of additive noise in observations of signals with ASK and PSK manipulations of their parameters. To determine the numerical measure of signal recovery quality, the use of SG statistics is proposed, which allows obtaining the corresponding numerical values of the predictability index of the results of signal observation and its recovery. The methodological error of signal recovery that arises when using the ATS algorithm is obtained. It is shown that the use of SG statistics as a measure of signal recovery error makes it possible to determine its effectiveness. Numerical values of signal recovery errors are obtained, and the methodological errors of the ATS algorithm for ASK and PSK signals manipulated by “white” and “color” messages are analyzed. It is found that the algorithm parameters affect the signal recovery error. Recommendations are given for the parameters of the ATS algorithm that enhance its efficiency in terms of sensitivity to noise levels and their distributions. It is shown that the contribution of the methodological error to the signal recovery error decreases with increasing noise level. When using the proposed ATS algorithm, higher average values of SG statistics are obtained.