Abstract
A Hopfield-type neural network for the design of 2-D FIR filters is proposed. The network is contrived to have an energy function that coincides with the sum-squared error of the approximation problem at hand and by ensuring that the energy is a monotonic decreasing function of time, the approximation problem can be solved. Two solutions are obtained. In the first the 2-D FIR filter is designed on the basis of a specified amplitude response and in the second a filter that has specified maximum passband and stopband errors is designed. The network has been simulated with HSPICE and design examples are included to show that this is an efficient way of solving the approximation problem for 2-D FIR filters. The neural network has high potential for implementation in analog VLSI and can, as a consequence, be used in real-time applications.
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References
W.-S. Lu and A. Antoniou, Two-Dimensional Digital Filters, New York: Marcel Dekker, 1992.
D. Bhattacharya and A. Antoniou, “Real-Time Design of FIR Filters by Feedback Neural Networks,” IEEE Signal Processing Letters, vol. 3, May 1996, pp. 158–161.
D. Bhattacharya and A. Antoniou, “Design of 2-D FIR Filters by Feedback Neural Networks,” Proceedings of IEEE International Symposium on Circuits and Systems, Seattle, USA, April- May 1995, pp. 1297–1300.
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Bhattacharya, D., Antoniou, A. Design of 2-D FIR Filters by a Feedback Neural Network. Multidimensional Systems and Signal Processing 10, 319–330 (1999). https://doi.org/10.1023/A:1008425226159
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DOI: https://doi.org/10.1023/A:1008425226159