2024
DOI: 10.3390/app14146388
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Peculiarities of Applying Partial Convolutions to the Computation of Reduced Numerical Convolutions

Ibragim Suleimenov,
Aruzhan Kadyrzhan,
Dinara Matrassulova
et al.

Abstract: A method is proposed that reduces the computation of the reduced digital convolution operation to a set of independent convolutions computed in Galois fields. The reduced digital convolution is understood as a modified convolution operation whose result is a function taking discrete values in the same discrete scale as the original functions. The method is based on the use of partial convolutions, reduced to computing a modulo integer q0, which is the product of several prime numbers: q0=p1p2…pn. It is shown t… Show more

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