On the proof of stabilization of two-dimensional recursive filters via discrete Hilbert transform
H. S. N. Murthy, P. Reddy · IEEE Transactions on Circuits and Systems · 1986
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.