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HandWiki. 2D Filters. Encyclopedia. Available online: https://encyclopedia.pub/entry/31414 (accessed on 17 October 2026).
HandWiki. 2D Filters. Encyclopedia. Available at: https://encyclopedia.pub/entry/31414. Accessed October 17, 2026.
HandWiki. "2D Filters" Encyclopedia, https://encyclopedia.pub/entry/31414 (accessed October 17, 2026).
HandWiki. (2022, October 26). 2D Filters. In Encyclopedia. https://encyclopedia.pub/entry/31414
HandWiki. "2D Filters." Encyclopedia. Web. 26 October, 2022.
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Two dimensional filters have seen substantial development effort due to their importance and high applicability across several domains. In the 2-D case the situation is quite different from the 1-D case, because the multi-dimensional polynomials cannot in general be factored. This means that an arbitrary transfer function cannot generally be manipulated into a form required by a particular implementation. The input-output relationship of a 2-D IIR filter obeys a constant-coefficient linear partial difference equation from which the value of an output sample can be computed using the input samples and previously computed output samples. Because the values of the output samples are fed back, the 2-D filter, like its 1-D counterpart, can be unstable.
multi-dimensional
applicability
transfer function
References
- T. S. Huang, “Stability of two-dimensional recursive filters,” IEEE Transactions on Audio and Electroacoustics, vol. 20, no. 2, pp. 158–163, 1972.
- J. S. Lim, Two-Dimensional Signal and Image Processing, Prentice-Hall International, 1990.
- Dan E. Dudgeon, Russell M. Mersereau, “Multidimensional Digital Signal Processing”, Prentice-Hall Signal Processing Series, ISBN:0136049591, 1983.
- M. Ahmadi, “Design of 2-Dimensional recursive digital filters”, Control and Dynamics System, vol. 78, pp. 131-181, 1996.
- Li Liang, Majid Ahmadi, Maher Sid-Ahmed, “Design of 2-D IIR FIlters with Canonical signed-digit coefficients using genetic algorithm”, Department of Electrical & Computer Engineering, University of Windsor, Canada.
- A. Mazinani, M. Ahmadi, M. Shridhar and R. S. Lashkari, “A novel approach to the design of 2-D recursive digital filters”, Journal of the Franklin Institute, Pergamon Press Ltd, vol. 329, no. 1, pp. 127-133, 1992.
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