On fast algorithms for one-dimensional digital signal processing in finite integer and complex integer rings (Q5957408)

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scientific article; zbMATH DE number 1716865
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On fast algorithms for one-dimensional digital signal processing in finite integer and complex integer rings
scientific article; zbMATH DE number 1716865

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    On fast algorithms for one-dimensional digital signal processing in finite integer and complex integer rings (English)
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    6 March 2002
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    The authors present a number theoretic approach to the computation of one-dimensional cyclic convolutions of sequences, which are defined in either finite integer rings or complex integer rings. They simplify some important cases related to digital signal processing. Their techniques involve the factorization of cyclotomic polynomials modulo prime powers.
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    computational complexity
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    cyclic convolutions
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    finite integer rings
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    complex integer rings
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    digital signal processing
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    factorization of cyclotomic polynomials
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