| Summary: | In this paper, a heterodyne laser interferometer, which is used as a sensor for high-precision displacement measurement, is introduced to measure ground vibration and seismic waves as a seismometer. The seismic wave is measured precisely through the displacement variation obtained by the heterodyne laser interferometer. The earthquake magnitude is estimated using only the P-wave magnitudes for the first 3 s through the total noise enhanced optimization (TNEO) model. We use data from southern California to investigate the relationship between peak acceleration amplitude (<inline-formula> <math display="inline"> <semantics> <msub> <mi>P</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula>) and the earthquake magnitude (<inline-formula> <math display="inline"> <semantics> <msub> <mi>M</mi> <mi>g</mi> </msub> </semantics> </math> </inline-formula>). For precise prediction of the earthquake magnitude using only the <inline-formula> <math display="inline"> <semantics> <msub> <mi>P</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula> value, the TNEO model derives the relation equation between <inline-formula> <math display="inline"> <semantics> <msub> <mi>P</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula> and the magnitude, considering the noise present in each measured seismic data. The optimal solution is obtained from the TNEO model based objective function. We proved the performance of the proposed method through simulation and experimental results.
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