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On the proof of stabilization of two-dimensional recursive filters via discrete Hilbert transform

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2 Author(s)

In this paper, we prove that the two-dimensional recursive digital filters stabilized via the discrete Hilbert transform (DHT) would be stable, with a constraint on the amplitude of the frequency spectrum of the original unstable filter. It is pointed out in the discussion that the finer the grid (w_1, w_2) is, the better will be the matching of the magnitude spectrum with that of the original unstable filter.

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Circuits and Systems, IEEE Transactions on  (Volume:33 ,  Issue: 8 )