SNR (Signal-to-Noise Ratio) is the ratio of the analytical signal to the noise level — $SNR = S / N$ where $S$ is the signal intensity and $N$ is the noise amplitude, quantifying the quality and reliability of a measurement. Higher SNR means more reliable measurements.
SNR in Analytical Metrology
- Detection: $SNR = 3$ at the detection limit — signal is just distinguishable from noise.
- Quantification: $SNR = 10$ at the quantification limit — signal is reliable for quantitative measurement.
- Improving SNR: Longer measurement time ($SNR propto sqrt{t}$), higher source intensity, better detector, or signal averaging.
- Peak-to-Peak vs. RMS: Noise can be measured as peak-to-peak (worst case) or RMS (statistical) — RMS is more common.
Why It Matters
- Measurement Quality: Higher SNR = more precise and reliable measurements — the fundamental quality metric.
- Trade-offs: Improving SNR often requires longer measurement time — throughput vs. quality trade-off.
- Semiconductor: High SNR is critical for sub-ppb contamination detection and sub-nm CD measurement.
SNR is signal quality — the ratio that determines whether the analyte signal can be reliably distinguished from measurement noise.
signal-to-noise ratiosnrmetrology
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