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本文討論在地震記录干扰背景上分辨弱地震波訊号的統計方法。根据統計假設检驗理論,导出了最优振幅判据r_(опт)≈2~(1/2)σ—1.5σ。将r_(опт)做为对比追踪波时的輔助标志,根据振幅超过r_(опт)的时間位置,确定了地震波可能出現的时間范围。文中分析了选择振幅判据与判断錯誤的关系,近似計算出单位时間內振幅超过r_(опт)的平均次数,并討論了在用自动振幅控制(АРУ)接收时,应用統計判断方法所受的限制。
This article discusses statistical methods for resolving weak seismic wave signals on the background of seismic recording disturbances. According to statistical hypothesis testing theory, the optimal amplitude criterion r_ (опт) ≈2 ~ (1/2) σ-1.5σ is derived. Using r_ (опт) as an auxiliary marker for tracking the time-of-flight wave, the possible time range of the seismic wave is determined according to the time position where the amplitude exceeds r_ (опт). In this paper, we analyze the relationship between the choice of amplitude criterion and judgment error, and calculate the average number of times the amplitude exceeds r_ (опт) per unit time. We also discuss the application of statistical judgment method when receiving with automatic amplitude control limits.