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| Content Provider | Springer Nature Link |
|---|---|
| Author | Dou, Jiayin He, Qi Peng, Yu Sun, Qiongge Liu, Shutian Liu, Zhengjun |
| Copyright Year | 2016 |
| Abstract | The fractional transforms are a class of powerful tool for the presentation of time–frequency domains in the field of signal processing. Based on the convolution algorithm of discrete fractional Fourier transform and gyrator transform, we propose a generalized framework defining a class of fractional transforms. By choosing various phase filters, the fractional transform can be employed for different computational tasks of information processing. The several properties of typical fractional transform are reserved in this definition scheme. Under the model of the convolution-based transform, fractional Fourier transform and gyrator transform are synthesized. Moreover, the transform can be implemented by an optical 4f system with phase-only filtering easily, which is a useful tool in the application of optical information processing. Numerical results are given for demonstrating the proposed transform and its application. |
| Starting Page | 1 |
| Ending Page | 12 |
| Page Count | 12 |
| File Format | |
| ISSN | 03068919 |
| Journal | Optical and Quantum Electronics |
| Volume Number | 48 |
| Issue Number | 8 |
| e-ISSN | 1572817X |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2016-07-30 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Random transform Convolution operation Fractional order Optics, Lasers, Photonics, Optical Devices Electrical Engineering Characterization and Evaluation of Materials Computer Communication Networks |
| Content Type | Text |
| Resource Type | Article |
| Subject | Atomic and Molecular Physics, and Optics Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering |
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