Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems

Many radar applications, such as those involving multiple-input, multiple-output (MIMO) radar, require sets of waveforms that are orthogonal, or nearly orthogonal. As shown in the work presented here, a set of nearly orthogonal waveforms with a high cardinality can be generated using chaotic systems...

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Main Authors: Willsey, Matt S., Cuomo, Kevin M., Oppenheim, Alan V.
Other Authors: Lincoln Laboratory
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2013
Online Access:http://hdl.handle.net/1721.1/79673
https://orcid.org/0000-0003-0647-236X
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author Willsey, Matt S.
Cuomo, Kevin M.
Oppenheim, Alan V.
author2 Lincoln Laboratory
author_facet Lincoln Laboratory
Willsey, Matt S.
Cuomo, Kevin M.
Oppenheim, Alan V.
author_sort Willsey, Matt S.
collection MIT
description Many radar applications, such as those involving multiple-input, multiple-output (MIMO) radar, require sets of waveforms that are orthogonal, or nearly orthogonal. As shown in the work presented here, a set of nearly orthogonal waveforms with a high cardinality can be generated using chaotic systems, and this set performs comparably to other waveform sets used in pulse compression radar systems. Specifically, the nearly orthogonal waveforms from chaotic systems are shown to possess many desirable radar properties including a compact spectrum, low range sidelobes, and an average transmit power within a few dB of peak power. Moreover, these waveforms can be generated at essentially any practical time length and bandwidth. Since these waveforms are generated from a deterministic process, each waveform can be represented with a small number of system parameters. Additionally, assuming these waveforms possess a large time-bandwidth product, a high number of nearly orthogonal chaotic waveforms exist for a given time and bandwidth. Thus the proposed generation procedure can potentially be used to generate a new transmit waveform on each pulse.
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spelling mit-1721.1/796732022-09-26T15:40:54Z Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems Willsey, Matt S. Cuomo, Kevin M. Oppenheim, Alan V. Lincoln Laboratory Lincoln Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Research Laboratory of Electronics Willsey, Matt S. Cuomo, Kevin M. Oppenheim, Alan V. Many radar applications, such as those involving multiple-input, multiple-output (MIMO) radar, require sets of waveforms that are orthogonal, or nearly orthogonal. As shown in the work presented here, a set of nearly orthogonal waveforms with a high cardinality can be generated using chaotic systems, and this set performs comparably to other waveform sets used in pulse compression radar systems. Specifically, the nearly orthogonal waveforms from chaotic systems are shown to possess many desirable radar properties including a compact spectrum, low range sidelobes, and an average transmit power within a few dB of peak power. Moreover, these waveforms can be generated at essentially any practical time length and bandwidth. Since these waveforms are generated from a deterministic process, each waveform can be represented with a small number of system parameters. Additionally, assuming these waveforms possess a large time-bandwidth product, a high number of nearly orthogonal chaotic waveforms exist for a given time and bandwidth. Thus the proposed generation procedure can potentially be used to generate a new transmit waveform on each pulse. United States. Air Force (Contract FA8721-05-C-0002) Massachusetts Institute of Technology. Research Laboratory of Electronics BAE Systems Texas Instruments Incorporated. Leadership University Consortium Program 2013-07-23T13:45:04Z 2013-07-23T13:45:04Z 2010-07 2009-10 Article http://purl.org/eprint/type/JournalArticle 0018-9251 http://hdl.handle.net/1721.1/79673 Willsey, Matt S., Kevin M. Cuomo, and Alan V. Oppenheim. Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems. IEEE Transactions on Aerospace and Electronic Systems 47, no. 3 (July 2011): 1974-1984. https://orcid.org/0000-0003-0647-236X en_US http://dx.doi.org/10.1109/taes.2011.5937277 IEEE Transactions on Aerospace and Electronic Systems Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) Oppenheim via Amy Stout
spellingShingle Willsey, Matt S.
Cuomo, Kevin M.
Oppenheim, Alan V.
Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems
title Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems
title_full Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems
title_fullStr Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems
title_full_unstemmed Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems
title_short Quasi-Orthogonal Wideband Radar Waveforms Based on Chaotic Systems
title_sort quasi orthogonal wideband radar waveforms based on chaotic systems
url http://hdl.handle.net/1721.1/79673
https://orcid.org/0000-0003-0647-236X
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