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Electromagnetic waves under water: short range, special roles

Electromagnetic (EM) waves are the backbone of most modern communication systems, but seawater is a tough medium for them. Because seawater is highly conductive, EM waves lose energy quickly, and penetration depth depends strongly on frequency, salinity and temperature. At higher frequencies, such as VHF and UHF, signals are attenuated within just a few metres; even in the kHz range, reaching beyond tens or hundreds of metres is difficult and usually requires very large antennas and high-power amplifiers.

Visual maps that highlight risk-relevant vessel behaviour

Data only becomes truly useful when it is presented in a way that users can understand quickly. The study therefore includes a visualisation environment that projects cleaned and smoothed vessel tracks onto a geographic background, using standard latitude–longitude coordinates. Route segments are coloured according to speed on a thermochromatic scale, making it easier to spot accelerations, slowdowns and other unusual behaviours at a glance.

Real-world tests over Crete’s coastline

To validate the method, the authors implemented an experiment with four sensors deployed along the north coast of Crete, from the Rethymno to the Lasithi districts. The Area of Interest was defined over central Crete, and multiple transmitters were activated within this region to test how well the algorithm could estimate their positions. Real sensor data, including bearing measurements and divergence, were used to feed the triangulation and centroid steps.

An efficient algorithm from input file to map

The study does not stop at theory: it presents a full algorithmic pipeline, from reading sensor data to delivering positions on a map. The algorithm is divided into clear stages, including reading and storing the input, computing bearing paths and quadrilaterals, filtering out unhelpful cases, reducing information to triads of sensors, and finally producing outputs that can be used for centroid-based position estimation. Each step is designed to keep the computation efficient and avoid unnecessary calculations in areas that are not relevant.

How triangulation areas reveal where signals come from

The paper explains triangulation in simple geometric terms: sensors measure angles, not distances, and their bearing lines intersect to form small polygons where a transmitter might be. When more than one transmitter is present, this becomes more complex, and traditional two-sensor approaches no longer suffice. The authors show that by using at least three sensors and carefully analysing how their bearing paths intersect, it is possible to separate the different triangulation areas and link them to individual transmitters.

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