Adding SNR from multiple detectors

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SUMMARY

The discussion focuses on the Signal-to-Noise Ratio (SNR) when combining outputs from two detectors, each with an SNR of 2. It concludes that if the noise between the detectors is uncorrelated and the signal is correlated, the SNR improves. The resulting SNR can be calculated using the root-sum-square method, yielding an SNR of approximately 2×sqrt(2) rather than a simple additive approach. This highlights the importance of understanding the correlation of signals and noise in SNR calculations.

PREREQUISITES
  • Understanding of Signal-to-Noise Ratio (SNR)
  • Knowledge of signal correlation and noise characteristics
  • Familiarity with root-sum-square calculations
  • Basic principles of sensor fusion
NEXT STEPS
  • Research the mathematical principles behind root-sum-square calculations for SNR
  • Study sensor fusion techniques and their impact on SNR
  • Explore the effects of correlated vs. uncorrelated noise in signal processing
  • Learn about advanced SNR optimization methods in multi-sensor systems
USEFUL FOR

This discussion is beneficial for signal processing engineers, data scientists, and researchers working with multi-sensor systems who aim to optimize SNR in their applications.

sparkle_pony
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I am looking at the same object with two detectors. The SNR on each is 2, which is a low probability of detect given a single sensor. However, if I fuse the two what would be the SNR then? Would it be additive (SNR=4) or rss (SNR=2×sqrt(2)) or something more complicated?
 
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Correlated signals add, uncorrelated signals are sqrt(sum of squares).

If the noise is uncorrelated between the detectors, and the signal is correlated, you will improve the SNR
 

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