so i thought a litle about the meaning of the linspace, and the
location of data in a period, and i realised i needed to just pass a
period size one greater to the function, so that the tail of the last
sample in the period was processed. it works, when doing that, with
the simpler linspace:
(Pdb) data = np.random.random(4)
(Pdb) quaddata = np.concatenate([data]*4)
(Pdb) p data
array([0.40683351, 0.00094595, 0.74521147, 0.1613921 ])
(Pdb) p abs(micro_ift(micro_ft(quaddata, 5), 5, upsample=True))
array([0.40683351, 0.00094595, 0.74521147, 0.1613921 , 0.40683351,
0.00094595, 0.74521147, 0.1613921 , 0.40683351, 0.00094595,
0.74521147, 0.1613921 , 0.40683351, 0.00094595, 0.74521147,
0.1613921 ])
(Pdb) p abs(micro_ift(micro_ft(quaddata, 5), 5, upsample=True))[::5]
array([0.40683351, 0.00094595, 0.74521147, 0.1613921 ])
i guess i'd like to figure out what meaning of N is needed to move
that +1 into the body of the function
