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A new transform for the stabilization and stability testing of multidimensional recursive digital filters

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4 Author(s)
Damera-Venkata, N. ; Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA ; Venkataraman, M. ; Hrishikesh, M.S. ; Reddy, P.S.

We present a new transform which, when applied to the denominator polynomial of the transfer function of an unstable multidimensional recursive digital filter (of a special class) will yield a stable polynomial with good preservation of the magnitude spectrum. In fact, the discrete Hilbert transform (DHT), used to stabilize 2-D and 1-D recursive digital filters, is a special case of the general multidimensional transform we present here. We also address the problem of stability testing of a multidimensional recursive digital filter and show that the new transform may be used to implement a straightforward test for stability of any causal multidimensional recursive digital filter, having no nonessential singularities of the second kind

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:47 ,  Issue: 9 )