The Area Signal-to-Noise Ratio: A Robust Alternative to Peak-Based SNR in Spectroscopic Analysis
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| Format: | Preprint |
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2025
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| _version_ | 1866914218002874368 |
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| author | Yu, Alex Zhao, Huaqing Li, Lin Z. |
| author_facet | Yu, Alex Zhao, Huaqing Li, Lin Z. |
| contents | In spectroscopic analysis, the peak-based signal-to-noise ratio (pSNR) is commonly used but suffers from limitations such as sensitivity to noise spikes and reduced effectiveness for broader peaks. We introduce the area-based signal-to-noise ratio (aSNR) as a robust alternative that integrates the signal over a defined region of interest, reducing noise variance and improving detection for various lineshapes. We used Monte Carlo simulations (n=2,000 trials per condition) to test aSNR on Gaussian, Lorentzian, and Voigt lineshapes. We found that aSNR requires significantly lower amplitudes than pSNR to achieve a 50% detection probability. Receiver operating characteristic (ROC) curves show that aSNR performs better than pSNR at low amplitudes. Our results show that aSNR works especially advantageously for broad peaks and could be extended to volume-based SNR for multidimensional spectra. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_20830 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Area Signal-to-Noise Ratio: A Robust Alternative to Peak-Based SNR in Spectroscopic Analysis Yu, Alex Zhao, Huaqing Li, Lin Z. Signal Processing Image and Video Processing Applications In spectroscopic analysis, the peak-based signal-to-noise ratio (pSNR) is commonly used but suffers from limitations such as sensitivity to noise spikes and reduced effectiveness for broader peaks. We introduce the area-based signal-to-noise ratio (aSNR) as a robust alternative that integrates the signal over a defined region of interest, reducing noise variance and improving detection for various lineshapes. We used Monte Carlo simulations (n=2,000 trials per condition) to test aSNR on Gaussian, Lorentzian, and Voigt lineshapes. We found that aSNR requires significantly lower amplitudes than pSNR to achieve a 50% detection probability. Receiver operating characteristic (ROC) curves show that aSNR performs better than pSNR at low amplitudes. Our results show that aSNR works especially advantageously for broad peaks and could be extended to volume-based SNR for multidimensional spectra. |
| title | The Area Signal-to-Noise Ratio: A Robust Alternative to Peak-Based SNR in Spectroscopic Analysis |
| topic | Signal Processing Image and Video Processing Applications |
| url | https://arxiv.org/abs/2512.20830 |