Selecting the lorenz parameters for wideband radar waveform generation
Radar waveforms based on chaotic systems have occasionally been suggested for a variety of radar applications. In this paper, radar waveforms are constructed with solutions from a particular chaotic system, the Lorenz system, and are called Lorenz waveforms. Waveform properties, which include the pe...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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World Scientific
2012
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| Online Access: | http://hdl.handle.net/1721.1/72687 https://orcid.org/0000-0003-0647-236X |
| _version_ | 1826188814663548928 |
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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 | Radar waveforms based on chaotic systems have occasionally been suggested for a variety of radar applications. In this paper, radar waveforms are constructed with solutions from a particular chaotic system, the Lorenz system, and are called Lorenz waveforms. Waveform properties, which include the peak autocorrelation function side-lobe and the transmit power level, are related to the system parameters of the Lorenz system. Additionally, scaling the system parameters is shown to correspond to an approximate time and amplitude scaling of Lorenz waveforms and also corresponds to scaling the waveform bandwidth. The Lorenz waveforms can be generated with arbitrary time lengths and bandwidths and each waveform can be represented with only a few system parameters. Furthermore, these waveforms can then be systematically improved to yield constant-envelope output waveforms with low autocorrelation function sidelobes and limited spectral leakage. |
| first_indexed | 2024-09-23T08:05:08Z |
| format | Article |
| id | mit-1721.1/72687 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:05:08Z |
| publishDate | 2012 |
| publisher | World Scientific |
| record_format | dspace |
| spelling | mit-1721.1/726872022-09-30T07:23:55Z Selecting the lorenz parameters for wideband radar waveform generation Willsey, Matt S. Cuomo, Kevin M. Oppenheim, Alan V. Lincoln Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Research Laboratory of Electronics Oppenheim, Alan V. Willsey, Matt S. Cuomo, Kevin M. Oppenheim, Alan V. Radar waveforms based on chaotic systems have occasionally been suggested for a variety of radar applications. In this paper, radar waveforms are constructed with solutions from a particular chaotic system, the Lorenz system, and are called Lorenz waveforms. Waveform properties, which include the peak autocorrelation function side-lobe and the transmit power level, are related to the system parameters of the Lorenz system. Additionally, scaling the system parameters is shown to correspond to an approximate time and amplitude scaling of Lorenz waveforms and also corresponds to scaling the waveform bandwidth. The Lorenz waveforms can be generated with arbitrary time lengths and bandwidths and each waveform can be represented with only a few system parameters. Furthermore, these waveforms can then be systematically improved to yield constant-envelope output waveforms with low autocorrelation function sidelobes and limited spectral leakage. United States. Air Force Office of Scientific Research (Contract number FA8721-05-C-0002) 2012-09-13T15:10:00Z 2012-09-13T15:10:00Z 2011-09 2010-09 Article http://purl.org/eprint/type/JournalArticle 0218-1274 http://hdl.handle.net/1721.1/72687 Willsey, Matt S., Kevin M. Cuomo, and Alan V. Oppenheim. “Selecting the lorenz parameters for wideband radar waveform generation.” International Journal of Bifurcation and Chaos 21.09 (2011): 2539–2545. https://orcid.org/0000-0003-0647-236X en_US http://dx.doi.org/10.1142/s0218127411029914 International Journal of Bifurcation and Chaos Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf World Scientific MIT web domain |
| spellingShingle | Willsey, Matt S. Cuomo, Kevin M. Oppenheim, Alan V. Selecting the lorenz parameters for wideband radar waveform generation |
| title | Selecting the lorenz parameters for wideband radar waveform generation |
| title_full | Selecting the lorenz parameters for wideband radar waveform generation |
| title_fullStr | Selecting the lorenz parameters for wideband radar waveform generation |
| title_full_unstemmed | Selecting the lorenz parameters for wideband radar waveform generation |
| title_short | Selecting the lorenz parameters for wideband radar waveform generation |
| title_sort | selecting the lorenz parameters for wideband radar waveform generation |
| url | http://hdl.handle.net/1721.1/72687 https://orcid.org/0000-0003-0647-236X |
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