Abstract

Additive and multiplicative compounding of seismometer outputs are compared. In the equations developed for multiplicative compounding some terms involve products of signal and noise, and an arbitrary division of these terms between signal and noise is made to facilitate handling. Under the assumptions made it is developed that for low signal-to-noise ratios (less than 0.8) additive compounding provides a greater improvement in signal-to-noise ratio than does multiplicative compounding unless large numbers of units are compounded.

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