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It is shown that the convenient processing facilities of digital signals that varying in a finite range of amplitudes are non-binary Galois fields, the numbers of which elements are equal to prime numbers. Within choosing a sampling interval which corresponding to such a Galois field, it becomes possible to construct a Galois field Fourier transform, a distinctive feature of which is the exact correspondence with the ranges of variation of the amplitudes of the original signal and its digital spectrum. This favorably distinguishes the Galois Field Fourier Transform of the proposed type from the spectra, which calculated using, for example, the Walsh basis. It is also shown, that Galois Field Fourier Transforms of the proposed type have the same properties as the Fourier transform associated with the expansion in terms of the basis of harmonic functions. In particular, an analogue of the classical correlation, which connected the signal spectrum and its derivative, was obtained. On this basis proved, that the using of the proposed type of Galois fields makes it possible to develop a complete analogue of the transfer function apparatus, but only for signals presented in digital form.

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It is shown that the reaction between poly(acrylic acid) and a non‐ionic polymer may give two different products. One of them is the well‐known interpolymer complex stabilized by hydrogen bonds, and the other belongs to a relatively new class of compounds named hydrophilic interpolymer associates. Networks occurring in the dynamic mode of formation and destruction of hydrogen bond linkages represent the structure of the hydrophilic associates; a single molecule of polyacid may be linked with two or more molecules of non‐ionic polymer in such associates. The result of the reaction under consideration strongly depends on the ratio of volumes of swollen coils of ionogenic and electrically neutral macromolecules. Classical interpolymer complexes cannot be formed at a high degree of swelling of polyacid coils, which takes place at high pH values. In contrast, hydrophilic associates are formed under such conditions. © 2013 Society of Chemical Industry

It is shown that the use of the representation of digital signals varying in the restricted amplitude range through elements of Galois fields and the Galois field Fourier transform makes it possible to obtain an analogue of the convolution theorem. It is shown that the theorem makes it possible to analyze digital linear systems in same way that is used to analyze linear systems described by functions that take real or complex values (analog signals). In particular, it is possibile to construct a digital analogue of the transfer function for any linear system that has the property of invariance with respect to the time shift. It is shown that the result obtained has a fairly wide application, in particular, it is of interest for systems in which signal processing methods are combined with the use of neural networks.

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SYNOPSISThe formation of interpolymer complexes on the surface of crosslinked poly (acrylic acid) with some nonionogenic polymers is compared with the complex formation in analogous linear polymer systems. The behavior of these systems is compared with that of complexes of two oppositely charged polyelectrolytes. The concentration redistribution of the linear polymer in the system polyelectrolyte network-polymer solution and the degree of swelling of this network in these solutions were determined. 0 1994 John Wiley & Sons, Inc. Keywords: interpolymer complex viscometric method polyelectrolyte hydrogel hydrogel degree of swelling