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Maple's package DiscreteTransforms is a bit skinny, I miss various ones like discrete cosine transforms (at least the most 4 types), sine transform, Hartley transform, z-transform and may be the fractional Fourier transform or symmetric FTs (not sure for the whole herd).

It should be available, if Maple wants to be a numerical tool for technical users (all kinds of engineering I would say): it would not make sense for them to use other libraries, compile and finally combine with Maple, because it does not have it.
engineering package

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