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principles and applications of microearthquake networks

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3.3. Event Detection 55<br />

where T~ is the length <strong>of</strong> the time window for the long-term average, which<br />

depending on the application, may range from a few seconds to a few<br />

minutes. Because T~ is usually much longer than the predominant period<br />

<strong>of</strong> the incoming signal, p(r) represents the long-term average <strong>of</strong> the signal<br />

level as detected by the seismometer. It is useful to denote the ratio <strong>of</strong> the<br />

short-term average to the long-term average at time t by y(r), i.e.,<br />

(3.3) y(t> = W )/P(t)<br />

An event is said to be detected when<br />

(3.4)<br />

where Yd is the threshold level for event detection. There is a trade-<strong>of</strong>f<br />

between the threshold level Yd <strong>and</strong> the number <strong>of</strong> detections. If the<br />

threshold level is set too low, noise bursts will cause too many false<br />

detections. If the threshold level is set too high, the number <strong>of</strong> false<br />

detections will decrease, <strong>and</strong> so will the number <strong>of</strong> detected earthquakes.<br />

There are two major <strong>applications</strong> <strong>of</strong> event detectors. They have been<br />

implemented with analog or with digital components. In the following two<br />

subsections, we describe <strong>applications</strong> for triggered recording <strong>and</strong> <strong>applications</strong><br />

for on-line data processing.<br />

3.3.4. A udomated Methods: Applications <strong>of</strong> Event Detectors for<br />

Triggered Recording<br />

Triggered recording involves two automated tasks. The first task is to<br />

detect an earthquake event <strong>and</strong> to initiate recording. The second task is to<br />

determine when to stop recording <strong>and</strong> to return to the detection mode. In<br />

addition, a delay-line memory is required so that at least a few seconds <strong>of</strong><br />

the signal preceding the earthquake will be recorded, <strong>and</strong> recording directly<br />

on computer-compatible media is preferred so that further data<br />

processing can be easily carried out. The simplest method to stop recording<br />

is to record the seismic data for some preset duration. This will assure<br />

that recording for each detection does not use up the storage medium<br />

quickly. For a given amount <strong>of</strong> storage medium, the maximum number <strong>of</strong><br />

detected events that will be recorded can be determined beforeh<strong>and</strong>.<br />

However, for any given choice <strong>of</strong> recording duration, some larger earthquakes<br />

will not be completely recorded, <strong>and</strong> some smaller earthquakes<br />

will use up too much storage medium. A variable cut<strong>of</strong>f criterion will<br />

avoid these difficulties, but will need some protection against recording<br />

indefinitely after an event is detected.<br />

Until digital electronic components became widely available, event detectors<br />

were based on analog technology <strong>and</strong> were not very satisfactory.<br />

For example, a continuous loop <strong>of</strong> analog magnetic tape on a recorder

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