COMPARISON OF DETECTION METHODS FOR CLOSELY SPACED SPECTRAL LINES: THE ROLE OF THE SECOND DERIVATIVE AND NOISE DISTORTIONS
https://doi.org/10.26583/vestnik.2025.3.2
EDN: CRILGD
Abstract
The aim of this work is a comparative analysis of methods for improving spectral resolution in the detection of closely spaced spectral lines under conditions of their partial overlap. The main focus is on the second derivative method, which enhances the contrast between components by emphasizing high-frequency features of the signal. Within numerical modeling in the MATLAB environment, two approaches were investigated: direct detection of the total signal and analysis of its second derivative. The simulation was performed for two identical Gaussian signals with a variable interpeak distance d, supplemented by additive noise. The results showed that the second derivative method reduces the minimum visual resolution threshold from ddirect = 2.1 to dmod = 1.6, providing a 31% gain in resolving power. However, noise fluctuations (SNR = 40 dB) significantly distort the derivative signals, masking the troughs between peaks. Smoothing the data with a moving average partially suppresses the noise but leads to peak broadening by 15%, demonstrating a compromise between accuracy and preservation of the signal shape.
About the Authors
S. I. Ivanov
Scientific and Technological Centre of Unique Instrumentation of the RAS
Russian Federation
Russian Federation
S. V. Boritko
Scientific and Technological Centre of Unique Instrumentation of the RAS
Russian Federation
Russian Federation
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Review
For citations:
Ivanov S.I., Boritko S.V. COMPARISON OF DETECTION METHODS FOR CLOSELY SPACED SPECTRAL LINES: THE ROLE OF THE SECOND DERIVATIVE AND NOISE DISTORTIONS. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2025;14(3):192-202. (In Russ.) https://doi.org/10.26583/vestnik.2025.3.2. EDN: CRILGD
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