title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð²ÑÐ±Ð¾ÑÐ° Ð±Ð°Ð·Ð¸ÑÐ° ÑÐ°Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð¸ÑÐºÐ¾Ð¼Ð¾Ð³Ð¾ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° Ð½Ð° ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾-ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: The influence of the choice of the base of decomposition of the shaping impulse on the result of optimization of spectral effective signals
Creators: name: ÐÐ¸ÑÐµÐµÐ½ÐºÐ¾, ÐÐ»ÐµÐºÑÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÑÐ¸Ð³Ð½Ð°Ð»Ñ Ñ ÑÐ°ÑÑÐ¸ÑÐ½ÑÐ¼ Ð¾ÑÐºÐ»Ð¸ÐºÐ¾Ð¼
Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐµ ÑÐ¸Ð³Ð½Ð°Ð»Ñ
Ð¼ÐµÐ¶ÑÐ¸Ð¼Ð²Ð¾Ð»ÑÐ½Ð°Ñ Ð¸Ð½ÑÐµÑÑÐµÑÐµÐ½ÑÐ¸Ñ
ÑÐ³Ð»Ð°Ð¶Ð¸Ð²Ð°ÑÑÐ¸Ð¹ Ð¸Ð¼Ð¿ÑÐ»ÑÑ
ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð°Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ
Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
partial response signaling
multicomponent signals
intersymbol interference
shaping pulse
bandwidth efficiency
optimization

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description: This work is devoted to the study of the possibilities of using the bases of decomposition of the shaping pulse, which are an alternative to the truncated Fourier series in the problem of optimizing the shape of the shaping pulse by the criterion of minimizing the functional of the average âharmfulâ radiation with re-strictions on the level of intersymbol interference. In this paper, the basis of eigenfunctions of the variational problem was in-troduced, and some of its properties were also considered. The following conclusions were drawn from the results obtained: Polynomial bases of Legendre, Chebyshev, Hermite are not an alternative to the truncated Fourier series. The basis of the decomposition in the form of the eigenfunctions of the problem showed a generally similar result, but under some conditions it gains up to 6% in spectral efficiency. It was also suggested that the criterion for minimizing the average âharmfulâ radiation and the limitation on the level of intersymbol interference are not always compatible.