<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-20T11:20:10Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/127044" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/127044</identifier><datestamp>2026-06-06T01:04:49Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131023</setSpec><setSpec>col_1721.1_131024</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Henrik Schmidt and Bryan R. Moser.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Liu, Michael Kaiping.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Department of Mechanical Engineering.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Engineering and Management Program.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">System Design and Management Program.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department" lang="en_US">Massachusetts Institute of Technology. Department of Mechanical Engineering</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department" lang="en_US">Massachusetts Institute of Technology. Engineering and Management Program</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2020-09-03T17:43:51Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2020-09-03T17:43:51Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">2020</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2020</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://hdl.handle.net/1721.1/127044</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">1191715562</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis: Nav. E., Massachusetts Institute of Technology, Department of Mechanical Engineering, May, 2020</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis: S.M. in Engineering and Management, Massachusetts Institute of Technology, System Design and Management Program, May, 2020</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Cataloged from the official PDF of thesis.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (pages 107-112).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">Analysis of U.S. Navy Ice Exercise 2016 (ICEX16) data, through a collaboration with MIT Lincoln Laboratory, demonstrated that towed array curvature commonly exhibited heading differences up to 100° and never maintained heading differences less than 30° between the forward compass and the aft compass. These deviations reflected a disparity from the underlying assumption that the towed array remained rigid with no deviations from a rigid, straight-line configuration. Using lessons learned from ICEX16, a field experiment in Massachusetts Bay 2019 (FEX19) tested whether a hexagonal search pattern would sufficiently address the curvature concern, thereby, validate the underlying rigid, straight-line beamformer assumption more commonly used. Results from the experiment showed that a hexagonal search pattern maintained a heading differences of less than 4° within 79 seconds of an initiation of a 60° maneuver.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">This was a marked improvement when compared to ICEX16's vehicle maneuvers, which never maintained a heading difference of less than 30°. Even with this improvement in FEX19, 39.6% of the acoustic data was collected when the towed array did not meet the straight-line assumption. Use of the hexagonal search pattern, in two instances during U.S. Navy Ice Exercise 2020 (ICEX20), showed that 45.1% and 27.1% of the collected acoustic data did not meet the towed-array straight-line assumption. Although this realization will influence operators to minimize maneuvers that introduce significant deviations from the underlying beamforming model, field experiments often call for sharper maneuvers. This realization spurred the development of a beamformer that modeled towed array curvature using headings, effectively tangential slopes, at either end of the hydrophone portion of the towed array with a known fixed length to predict how the towed array bends.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">Analysis of FEX19 showed that the hyperbola-shaped beamformer output aligned to GPS heading data over 30% of the experimental window compared to less than 10% for the straight-line beamformer. This improvement held true even when the towed array had little or no curvature.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Michael Kaiping Liu.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">Nav.E.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.M. in Engineering and Management</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="collection" lang="en_US">Nav.E. Massachusetts Institute of Technology, Department of Mechanical Engineering</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="collection" lang="en_US">S.M.inEngineeringandManagement Massachusetts Institute of Technology, System Design and Management Program</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">135 pages</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
   <dim:field mdschema="dc" element="rights" lang="en_US">MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="uri" lang="en_US">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Mechanical Engineering.</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Engineering and Management Program.</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">System Design and Management Program.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Beamforming performance enhancement by adaptive hyperbola array shape estimation</dim:field>
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   <dim:field mdschema="mit" element="thesis" qualifier="degree" lang="en_US">Master</dim:field>
   <dim:field mdschema="mit" element="thesis" qualifier="department" lang="en_US">MechE</dim:field>
   <dim:field mdschema="mit" element="thesis" qualifier="department" lang="en_US">SysDes</dim:field>
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   	&lt;Title>Beamforming performance enhancement by adaptive hyperbola array shape estimation&lt;/Title>
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   	&lt;PublicationDate>2020&lt;/PublicationDate>
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        	&lt;DisplayName>Liu, Michael Kaiping.&lt;/DisplayName>
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    &lt;Keyword>Mechanical Engineering.&lt;/Keyword>
    &lt;Keyword>Engineering and Management Program.&lt;/Keyword>
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   	&lt;Abstract>Analysis of U.S. Navy Ice Exercise 2016 (ICEX16) data, through a collaboration with MIT Lincoln Laboratory, demonstrated that towed array curvature commonly exhibited heading differences up to 100° and never maintained heading differences less than 30° between the forward compass and the aft compass. These deviations reflected a disparity from the underlying assumption that the towed array remained rigid with no deviations from a rigid, straight-line configuration. Using lessons learned from ICEX16, a field experiment in Massachusetts Bay 2019 (FEX19) tested whether a hexagonal search pattern would sufficiently address the curvature concern, thereby, validate the underlying rigid, straight-line beamformer assumption more commonly used. Results from the experiment showed that a hexagonal search pattern maintained a heading differences of less than 4° within 79 seconds of an initiation of a 60° maneuver.&lt;/Abstract>
   	&lt;Abstract>This was a marked improvement when compared to ICEX16&amp;apos;s vehicle maneuvers, which never maintained a heading difference of less than 30°. Even with this improvement in FEX19, 39.6% of the acoustic data was collected when the towed array did not meet the straight-line assumption. Use of the hexagonal search pattern, in two instances during U.S. Navy Ice Exercise 2020 (ICEX20), showed that 45.1% and 27.1% of the collected acoustic data did not meet the towed-array straight-line assumption. Although this realization will influence operators to minimize maneuvers that introduce significant deviations from the underlying beamforming model, field experiments often call for sharper maneuvers. This realization spurred the development of a beamformer that modeled towed array curvature using headings, effectively tangential slopes, at either end of the hydrophone portion of the towed array with a known fixed length to predict how the towed array bends.&lt;/Abstract>
   	&lt;Abstract>Analysis of FEX19 showed that the hyperbola-shaped beamformer output aligned to GPS heading data over 30% of the experimental window compared to less than 10% for the straight-line beamformer. This improvement held true even when the towed array had little or no curvature.&lt;/Abstract>
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