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An efficient algorithm for multidimensional convolution

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2 Author(s)
Elnaggar, A. ; Dept. of Electr. Eng., Sultan Qaboos Univ., Muscat, Oman ; Aboelaze, M.

This paper presents a novel recursive algorithm for generating higher-order multidimensional (or m-D for short) convolution by combining the computation of 3m identical lower-order (smaller size) convolution computations, and its implementation in parallel VLSI networks. We show that for 2-D convolutions, with careful design, the number of lower-order 2-D convolutions can be reduced from nine to six with a computation saving of 35%. The resulting VLSI architectures have very simple modular structure, highly regular topology, and use simple arithmetic units

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Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings. 2000 IEEE International Conference on  (Volume:6 )

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