Research Article
Two-Dimensional Quaternion Linear Canonical Transform: Properties, Convolution, Correlation, and Uncertainty Principle
Table 1
Useful properties of the QLCT.
| Property | Quaternion func. | QLCT |
| Left linearity | | | Shift | | | Modulation | | | Scaling | | | Time-frequency shift | | |
| Formula | Parseval’s theorem | | Plancherel’s theorem | | Reconstruction | | | |
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