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| Content Provider | IET Digital Library |
|---|---|
| Author | Li, Yuanchao Zhang, Feng Li, Yanbin Tao, Ran |
| Abstract | Linear canonical transform (LCT), which can be deemed to be a generalisation of the fractional Fourier transform, has been used in several areas, including signal processing and optics. Motivated by the operator theory, a new unitary operator associated with the LCT is introduced. This new operator generalises the unitary fractional operator which is proposed by Akay et al. recently. Via operator manipulations, the authors also derive a new definition, the LCT correlation operation, and present an alternative and efficient implementation of it. It is shown that the proposed LCT autocorrelation corresponds to radial slices of the ambiguity function in the ambiguity plane. On the basis of this relationship, an application of the fast LCT autocorrelation for detection and parameter estimation with respect to the chirp rates of linear frequency modulated signals corrupted by noise is proposed. Finally, the validity of the proposed method is verified by simulation results. |
| Starting Page | 351 |
| Ending Page | 358 |
| Page Count | 8 |
| ISSN | 17519675 |
| Volume Number | 10 |
| e-ISSN | 17519683 |
| Issue Number | Issue 4, Jun (2016) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-spr/10/4 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2015.0041 |
| Journal | IET Signal Processing |
| Publisher | The Institution of Engineering and Technology |
| Publisher Date | 2016-06-01 |
| Access Restriction | Open |
| Rights License | Creative Commons Attribution-Non Commercial-No Derivs License (http://creativecommons.org/licenses/by-nc-nd/3.0/) |
| Subject Keyword | Ambiguity Function Radial Slice Correlation Theory Fourier Transforms Fractional Fourier Transform Generalisation Frequency Modulation Integral Transforms LCT LCT Autocorrelation LCT Correlation Operation Linear Canonical Transform Correlation Application Linear Frequency Modulated Signal Chirp Rate Linear Frequency Modulated Signal Detection Linear Frequency Modulated Signal Noise Optics Parameter Estimation Signal Detection Signal Processing Signal Processing Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Signal Processing Electrical and Electronic Engineering |
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