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# Click Train Detector
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## Introduction
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## Overview
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When a toothed whale, bat or other echolocator uses echolocation for hunting or sensing their surroundings they usually produce regular clicks/calls which vary slowly in inter-click/call-interval, amplitude, bearing etc. Individual click detections can be difficult to classify from other random transients because recieved waveforms and spectra are distorted by number of factors, such as narrow beam profiles, frequency dependent absorption, propogation effects and animal behaviour. The broadband clicks of many dolphins psecies are especially difficult to distinguish because they are very similar to many other sources of transient noise, such as cavitations from ship propellors. However, the echolocation clicks used by toothed whales (and bats) are not produced in isolation - animals tend to rapidly produce clicks with a slowly varying inter-click-interval (ICI); there are very few non-biological sources which produce regular repetitive sound and so this provides an additional contextual dimension for click classification. An automated algorithm which is based on identifying repeating patterns of sounds therefore has the potential to be significantly more accurate than an algorithm based on identifying individual calls.
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The PAMGuard click train detector module is used to detect and then classify repeating patterns of clicks. It is designed to work with multiple types of acoustic data, from CPOD detections to single channel and multi-channel hydrophone recordings.
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## How it works
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PAMGuard’s click train detector utilises both a detection and classification stage to extract click trains from recordings.
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The detection stage is based on a multi hypothesis tracking (MHT) algorithm. This algorithm considers all possible combinations of transient detections creating a large hypothesis matrix which holds potential click trains. As more clicks are added to the hypothesis matrix it grows exponentially and so, to prevent a computer running out memory, it is regularly “pruned” to keep only the most likely click trains over time. The assigned likelihood of a click train is based on number of properties which can be defined in by the user. For example, a user might select, ICI, Amplitude and Correlation as variables to score click trains; this would mean that combinations of clicks with slowly changing ICI, amplitude and waveforms would be favoured by the algorithm and stay in the hypothesis matrix. Other properties such as bearing, click length and peak frequency can also be selected. A graphical explanation of the click train detection algorithm is shown in Figure 1 and a more detailed explanation of the be found in Macaulay (2019).
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_Diagram demonstrating how the click train algorithm works. Black dots are a set of 14 detected clicks at times t1 to t14. The click train algorithm begins at click 1 and creates two possible clicks trains, one that includes the first click (filled circle) and the other in which the click is not part of the click train (non-filled circle). The algorithm then moves to the next click and adds it to the hypothesis matrix. As the number of clicks increases, the hypothesis matrix exponentially expands in size and must be pruned. After a minimum of Npmin clicks (in this case 4) each track hypothesis (possible click train) is assigned a χ^2score. The track hypothesis with lowest score (defined by larger coloured circles) has it’s branch traced back Np (in this case 3) clicks. Any track hypothesis which do not include the click Np steps back are pruned (defined by the double lines). Clicks which share no click associations with the first track hypothesis are then pruned and the process repeats until all clicks are part of a track or a maximum number of tracks have been considered (in this example there are two tracks). The algorithm then moves to the next click, adds it to the hypothesis matrix, assigns χ^2scores and traces the lowest χ^2 branch Np steps back, pruning the hypothesis matrix again; the process repeats until the last click. Note that there is always a track hypothesis with no associated clicks (i.e. the bottom-most branch where no clicks belong to a click train). If a track hypothesis is confirmed and thus removed from the hypothesis matrix, then this track can be used to start another click train_
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The advantage of this MHT approach is that the click train detection module is quite general and can cope with a large variety of complex situations and multiple overlapping click trains. The disadvantage is that there are a large number of potential variables which can be set that affect the performance of the detector which can make it complex to initially set up.
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The subsequent classification stage attempts to classify detected click trains to species. Classification is currently based on a series of relatively simple binary classification steps but there is scope for machine learning approaches in future versions. The binary classification is based on parameters such as number of detected clicks, the mean and standard deviation in ICI and bearing and the correlation of the average spectrum of the click train with a predefined spectral template.
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A click train which has been both detected and classified is saved to PAMGuard’s database and can be reclassified in PAMGuard’s viewer mode.
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