The paper presents a new fast algorithm to calculate periodic auto- and crosscorrelation functions of Frank sequences. It is based on a 2-dimensional representation of the sequences and a combination of the spectral and direct correlation function calculation methods. In this case the computational accuracy is enhanced and the number of the required complex operations is reduced twice.
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Frequency dependences of imaginary part of the dielectric response e(f) of SiO2-NaNO2 nanocomposite, prepared by embedding of sodium nitrite into porous glasses with 7 nm average pore diameter, have been studied within a temperature range of 360-520 K. It has been found that the spectrum S(omega) = e(f)/f contains the component ~1/f alfa where alfa is a coefficient indicating the dynamical heterogeneity of dipoles. Peculiarities of the temperature dependence of alfa are discussed.
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