Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods
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Wright State University / OhioLINK
2018
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=wright1534524199032647 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-wright15345241990326472021-08-03T07:08:18Z Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods Hollon, Jeffrey R. Mathematics sequence autocorrelation ACF cross-correlation Legendre arrays radar communication Binary sequences and arrays, their higher dimensional counterparts, play a critical role in today's technologically advanced world. This thesis explores such sequences and their optimality under various conditions along with their applicability to problems in engineering such as communication and radar systems. A new asymptotically orthogonal type of matrix is defined with computational examples given along with infinite theoretical families. A high energy ternary sequence is developed and shown to have real world promise by simulation of its radar ambiguity function and frame synchronization. Proposed within is an extended and more complete definition for Doppler tolerance by which sequences may be compared for use in radar. A method for turning existing families of binary optimal sequences in to ternary optimal sequences is given along with three example families by Sidelnikov-Lempel-Cohn-Eastman, Ding-Helleseth-Martinsen, and Paley. Various families of Legendre pairs are examined and special type, called a Yamada-Pott pair, is defined and explored giving interesting insight into various families of sequences. Finally, the optimality of binary sequences is discussed with searches for sequences with minimal sum-of-square autocorrelation gives rise to an order 39 matrix with large determinant, related to the D-Optimal design problem, and an affirmation of an optimal length 41 sequence. 2018-08-30 English text Wright State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=wright1534524199032647 http://rave.ohiolink.edu/etdc/view?acc_num=wright1534524199032647 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Mathematics sequence autocorrelation ACF cross-correlation Legendre arrays radar communication |
| spellingShingle |
Mathematics sequence autocorrelation ACF cross-correlation Legendre arrays radar communication Hollon, Jeffrey R. Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods |
| author |
Hollon, Jeffrey R. |
| author_facet |
Hollon, Jeffrey R. |
| author_sort |
Hollon, Jeffrey R. |
| title |
Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods |
| title_short |
Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods |
| title_full |
Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods |
| title_fullStr |
Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods |
| title_full_unstemmed |
Investigation of Communication and Radar System Optimization: New Computational and Theoretical Methods |
| title_sort |
investigation of communication and radar system optimization: new computational and theoretical methods |
| publisher |
Wright State University / OhioLINK |
| publishDate |
2018 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=wright1534524199032647 |
| work_keys_str_mv |
AT hollonjeffreyr investigationofcommunicationandradarsystemoptimizationnewcomputationalandtheoreticalmethods |
| _version_ |
1719454647424385024 |