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Suitability of Correlation Arrays and Superresolution for Minehunting ...

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DSTO-TN-0443<br />

1. Introduction<br />

This work was carried out as part <strong>of</strong> a project, called ‘Minefinder,’ within the Maritime<br />

Operations Division, DSTO. The aim <strong>of</strong> this project, in the first instance, is to do the<br />

preliminary design <strong>for</strong> a hull-mounted sonar to detect <strong>and</strong> classify sea mines. That<br />

design is to be followed by experimentation to prove any new concepts <strong>and</strong> to separate<br />

feasible from non-feasible designs. This could lead to a state-<strong>of</strong>-the-art sonar being<br />

constructed by a commercial firm.<br />

It was decided to look at some new options <strong>for</strong> the sonar that might improve<br />

per<strong>for</strong>mance, including options that have generally been avoided in the minehunting<br />

context. One possibility is to beam<strong>for</strong>m in elevation as well as in azimuth. As well as<br />

giving in<strong>for</strong>mation on the elevation <strong>of</strong> targets, this vertical resolution might help avoid<br />

problems with multipaths.<br />

It is intended to devote ef<strong>for</strong>t also to the use <strong>of</strong> coded signals, especially multiple,<br />

orthogonal (or almost orthogonal) pseudo-r<strong>and</strong>om sequences. By allowing many<br />

signals to be in the water at once, coded signals could help to remove the limitation<br />

placed on the rate <strong>of</strong> data acquisition by the long time taken <strong>for</strong> the signal to travel to<br />

the furthest range <strong>and</strong> return. The coded beams could be used to produce several<br />

narrow beams with different elevation angles. But they could also be used to send a<br />

few signals to probe at short ranges at the same time as a differently coded signal<br />

probes at longer ranges.<br />

The present report is in large part a literature survey, but also contains some<br />

analysis <strong>of</strong> the implications <strong>of</strong> the survey <strong>for</strong> the proposed sonar.<br />

The first broad area covered by the report is inspired by work in radio astronomy.<br />

First, in long-baseline interferometry, two widely separated arrays are used to obtain as<br />

good a resolution as obtained from a single array joining the two. This concept might<br />

be used to obtain high resolution by mounting two arrays out to the side in ‘free’<br />

water, one on each side <strong>of</strong> the ship’s bow. Second, consider the cross-shaped array,<br />

constructed from two subarrays in the <strong>for</strong>m <strong>of</strong> two arms perpendicular to each other,<br />

one subarray having M elements <strong>and</strong> the other having N . When this arrangement is<br />

used as a correlation telescope, in some sense the M + N elements achieve as good a<br />

result as the MN elements that a conventional array would use. Applied to sonar, this<br />

concept might greatly reduce the number <strong>of</strong> elements needed.<br />

The second broad area, superresolution, is inspired by a general problem posed by<br />

bow-mounted sonars. From the viewpoint <strong>of</strong> sonar per<strong>for</strong>mance, it is desirable <strong>for</strong> the<br />

array to be long in the athwartships direction. But a long array produces high drag,<br />

which is quite undesirable. As a result such sonars are generally made less than 2 m<br />

long. It is known that under certain conditions the resolution achievable with an array<br />

can be improved beyond that given by the Rayleigh criterion; this phenomenon is<br />

called superresolution (SR). This suggests the question: Can superresolution<br />

techniques be used in our application to increase the azimuthal resolution <strong>for</strong> an array<br />

<strong>of</strong> fixed length? The aim in this second broad area is to draw together in<strong>for</strong>mation<br />

from the literature with a view to answering this question. It should also be noted that,<br />

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