Journal of Mathematics / 2019 / Article / Tab 1

Research Article

Two-Dimensional Quaternion Linear Canonical Transform: Properties, Convolution, Correlation, and Uncertainty Principle

Table 1

Useful properties of the QLCT.

PropertyQuaternion func.QLCT

Left linearity
Shift
Modulation
Scaling
Time-frequency shift

Formula
Parseval’s theorem
Plancherel’s theorem
Reconstruction

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