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New realisations of first-order two-dimensional all-pass and all-pole digital filters

New realisations of first-order two-dimensional all-pass and all-pole digital filters

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© The Institution of Electrical Engineers
Published

A number of stable and lossless first-order two-dimensional all-pass and all-pole digital filter structures each with two delays, two multipliers, and six adders are presented. Owing to the losslessness property, zero-input oscillations can easily be eliminated by magnitude truncations. The resultant structures are modular and are suitable for VLSI implementation.

Inspec keywords: two-dimensional digital filters; stability; all-pass filters; VLSI

Other keywords: stable 2D filters; multipliers; delays; modular structures; adders; losslessness property; all-pole digital filters; magnitude truncations; two-dimensional; first-order; zero-input oscillations; all-pass filters; VLSI implementation; recursive type

Subjects: Digital filters; Digital filters

References

    1. 1)
      • T.S. Huang . Stability of two-dimensional recursive filters. IEEE Trans. , 158 - 163
    2. 2)
      • R.C. Joshi , H. Singh , S. Rai . First-order 2-D all-pass network realization. IEEE Trans. , 1089 - 1091
    3. 3)
      • V. Ganapathy , D.R. Reddy , P.S. Reddy . Minimal delay realization of first-order 2-D all-pass digital filters. IEEE Trans. , 1577 - 1579
    4. 4)
      • Kwan, H.K., Lee, W.C.: `Low sensitivities and roundoff noise digital oscillator design', Proceedings of International Conference on Digital Signal Processing, September 1987, Florence, Italy, p. 360–364.
    5. 5)
      • M.S. Reddy , S.C.D. Roy , S.N. Hazra . Realization of first-order two-dimensional all-pass digital filters. IEEE Trans. , 1011 - 1013
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