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The ABCS Program for the Analysis of Echo Sounder Returns for ...

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DSTO-GD-02153.1.3 Effect <strong>of</strong> Trans<strong>for</strong>ming to a Reference Seafloor DepthSimple adjustments like eq(2) and eq(4) do not give an exact trans<strong>for</strong>mation to <strong>the</strong>reference seafloor depth. Even in a simple case <strong>of</strong> a flat seafloor and constantbackscatter with angle, <strong>the</strong> above equations don't consider <strong>the</strong> geometric changesexactly (see appendix 2).If we were to try to precisely trans<strong>for</strong>m <strong>the</strong> echo sounder returns to a referenceseafloor depth <strong>the</strong> ping duration, ping intensity, and <strong>Echo</strong> Listener sampling ratewould have to be changed depending on <strong>the</strong> seafloor depth. Since this is difficult,simple trans<strong>for</strong>mations are done to get <strong>the</strong> returned signal to a reference seafloordepth.To test how well <strong>the</strong> trans<strong>for</strong>mations in equations (2) and (4) work, a simple examplewas considered. Using a number <strong>of</strong> piece-wise constant power inputs to simulate a sinewave ping envelope (see Figure 2), <strong>the</strong> program "Levels" was written to see what <strong>the</strong>returned signals would look like (see appendix 3). <strong>The</strong> program was run <strong>for</strong> a 2 msecping duration (this duration was used since it is <strong>the</strong> ping duration <strong>of</strong> <strong>the</strong> Furuno echosounder) and <strong>the</strong> effect <strong>of</strong> trans<strong>for</strong>ming a 100 m seafloor depth signal to a referenceseafloor depth <strong>of</strong> 50 m considered (see Figure 3). This showed <strong>the</strong> trans<strong>for</strong>med signalhad <strong>the</strong> same arrival time and an almost identical power variation with time as <strong>the</strong>50 m signal. <strong>The</strong>re<strong>for</strong>e <strong>for</strong> <strong>the</strong> Furuno echo sounder this trans<strong>for</strong>mation should give agood result as long as <strong>the</strong> environment is close to <strong>the</strong> assumptions made by Levels.<strong>The</strong>se assumptions made by Levels were an omnidirectional source and receiver, a flatseafloor, and a backscatter strength independent <strong>of</strong> grazing angle.7

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