Implementation of 2D linear canonical transform in matlab

I want to implement 2D linear canonical transform but I do not know how can I BEGIN with These is the first two steps but how can I implement random phase mask R 1 and phase truncation operation

Step 4: Matrix F ( x, y ) is modulated by the first random phase mask R 1 ( x, y ) and encrypted with the 2D LCT to obtain the image F 1 ( x, y ).

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Step 5: The phase truncation operation is performed on F 1 ( x, y ) and the amplitude of the spectrum H ( u, v ) is retained, while the phase part P 1 ( u, v ) is truncated. P 1 ( u, v ) is confused to obtain the second random phase mask R 2 ( u, v ) by the 1D logistic map with initial value 𝑌 0 = 𝜃+ 10 −3 𝛾. The scrambling method is similar to that in Step 3.