On algebraic properties of selfreciprocal polynomials and of Daubechies filters of low order
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We show that the generic selfreciprocal polynomial of degree 2n has the Galois group S2/lSN. Consequently, "most" selfreciprocal polynomials of degree 2n with coefficients in an algebraic number field have the same Galois group. We use these results to determine algebraic properties of the Daubechies (1988) filters of low order. © 1997 IEEE.
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