Data.Array.Accelerate.Math.DFT.Centre

These transforms allow the centering of the frequency domain of a DFT such that the zero frequency is in the middle. The centering transform, when performed on the input of a DFT, will cause zero frequency to be centred in the middle. The shifting transform however takes the output of a DFT to give the same result. Therefore the relationship between the two is:

fft(center(X)) = shift(fft(X))

Documentation

centre1D :: (RealFloat e, FromIntegral Int e) => Acc (Array DIM1 (Complex e)) -> Acc (Array DIM1 (Complex e))

Apply the centring transform to a vector

centre2D :: (RealFloat e, FromIntegral Int e) => Acc (Array DIM2 (Complex e)) -> Acc (Array DIM2 (Complex e))

Apply the centring transform to a matrix

centre3D :: (RealFloat e, FromIntegral Int e) => Acc (Array DIM3 (Complex e)) -> Acc (Array DIM3 (Complex e))

Apply the centring transform to a 3D array

shift1D :: Elt e => Acc (Vector e) -> Acc (Vector e)

Apply the shifting transform to a vector

shift2D :: Elt e => Acc (Array DIM2 e) -> Acc (Array DIM2 e)

Apply the shifting transform to a 2D array

shift3D :: Elt e => Acc (Array DIM3 e) -> Acc (Array DIM3 e)

Apply the shifting transform to a 3D array

ishift1D :: Elt e => Acc (Vector e) -> Acc (Vector e)

The inverse of the shift1D function, such that > ishift1D (shift1D v) = ishift1D (shift1D v) = v for all vectors

ishift2D :: Elt e => Acc (Array DIM2 e) -> Acc (Array DIM2 e)

The inverse of the shift2D function

ishift3D :: Elt e => Acc (Array DIM3 e) -> Acc (Array DIM3 e)

The inverse of the shift3D function