Transfer function estimation using time-frequency analysis
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1998.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2010
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| Online Access: | http://hdl.handle.net/1721.1/50472 |
| _version_ | 1826191158077816832 |
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| author | Ilvedson, Corinne Rachel, 1974- |
| author2 | Steven R. Hall. |
| author_facet | Steven R. Hall. Ilvedson, Corinne Rachel, 1974- |
| author_sort | Ilvedson, Corinne Rachel, 1974- |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1998. |
| first_indexed | 2024-09-23T08:51:09Z |
| format | Thesis |
| id | mit-1721.1/50472 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:51:09Z |
| publishDate | 2010 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/504722020-08-14T12:57:31Z Transfer function estimation using time-frequency analysis Ilvedson, Corinne Rachel, 1974- Steven R. Hall. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Aeronautics and Astronautics Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1998. Includes bibliographical references (p. 135-136). Given limited and noisy data, identifying the transfer function of a complex aerospace system may prove difficult. In order to obtain a clean transfer function estimate despite noisy data, a time-frequency analysis approach to system identification has been developed. The method is based on the observation that for a linear system, an input at a given frequency should result in a response at the same frequency, and a time localized frequency input should result in a response that is nearby in time to the input. Using these principles, the noise in the response can be separated from the physical dynamics. In addition, the impulse response of the system can be restricted to be causal and of limited duration, thereby reducing the number of degrees of freedom in the estimation problem. The estimation method consists of finding a rough estimate of the impulse response from the sampled input and output data. The impulse response estimate is then transformed to a two dimensional time-frequency mapping. The mapping provides a clear graphical method for distinguishing the noise from the system dynamics. The information believed to correspond to noise is discarded and a cleaner estimate of the impulse response is obtained from the remaining information. The new impulse response estimate is then used to obtain the transfer function estimate. The results indicate that the time-frequency transfer function estimation method can provide estimates that are often less noisy than those obtained from other methods such as the Empirical Transfer Function Estimate and Welch's Averaged Periodogram Method. by Corinne Rachel Ilvedson. S.M. 2010-01-07T20:43:18Z 2010-01-07T20:43:18Z 1998 1998 Thesis http://hdl.handle.net/1721.1/50472 42218062 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 136 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Aeronautics and Astronautics Ilvedson, Corinne Rachel, 1974- Transfer function estimation using time-frequency analysis |
| title | Transfer function estimation using time-frequency analysis |
| title_full | Transfer function estimation using time-frequency analysis |
| title_fullStr | Transfer function estimation using time-frequency analysis |
| title_full_unstemmed | Transfer function estimation using time-frequency analysis |
| title_short | Transfer function estimation using time-frequency analysis |
| title_sort | transfer function estimation using time frequency analysis |
| topic | Aeronautics and Astronautics |
| url | http://hdl.handle.net/1721.1/50472 |
| work_keys_str_mv | AT ilvedsoncorinnerachel1974 transferfunctionestimationusingtimefrequencyanalysis |