Vassilis G. Mertzios , Giovanni L. Sicuranza , Anastasios N. Venetsanopoulos
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Efficient structures for two-dimensional quadratic filters
Matrix decomposition techniques are used in order to obtain efficient structures for 2-D quadratic digital filters. The proposed structures consist of parallel branches which operate simultaneously on the input array. Each branch is formed by a 2-D FIR filter in cascade with a squaring operator, and all the partial results are summed up to obtain the output value. In the paper it is shown that, in particular, the lower-upper (LU) decomposition permits computational and hardware advantages.
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