title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐ¸Ð³Ð½Ð°Ð»ÑÐ½ÑÑ ÑÐ¾Ð·Ð²ÐµÐ·Ð´Ð¸Ð¹ QAM Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ ÑÐ½ÑÑÐ¾Ð¿Ð¸ÐµÐ¹ Ð¸ Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ OFDM Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Application of QAM signal constellations with fractional entropy and power allocation with OFDM in frequency selective channels
Creators: name: ÐÑÐ·ÑÐºÐ¾, ÐÐ°Ð½Ð¸Ð»Ð°
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: 2022
Subjects: Ð¡Ð¸Ð³Ð½Ð°Ð»Ñ
Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ðµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸
Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ½ÑÐ¹ ÑÐµÐ¹Ð¿Ð¸Ð½Ð³
ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÐ¹ ÐºÐ°Ð½Ð°Ð»
ÑÐ¸Ð³Ð½Ð°Ð»ÑÐ½ÑÐµ ÑÐ¾Ð·Ð²ÐµÐ·Ð´Ð¸Ñ Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ ÑÐ½ÑÑÐ¾Ð¿Ð¸ÐµÐ¹
ÑÐ¸Ð»ÑÑÑ ÐÐµÑÑÐµÐ»Ñ
Ñ ÑÐ¾Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ñ
power allocation
probabilistic shaping
fading channel
signal constellations with fractional entropy
Bessel filter
chromatic dispersion

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÐ¹ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÐ¹ ÐºÐ°Ð½Ð°Ð» ÑÐ²ÑÐ·Ð¸. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ðµ ÑÐ´ÐµÐ»ÑÐ½ÑÑ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°ÑÑÐ°Ñ Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ OFDM Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð°Ñ Ð¿ÑÑÐµÐ¼ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»ÑÐ½ÑÑ ÑÐ¾Ð·Ð²ÐµÐ·Ð´Ð¸Ð¹ QAM Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ ÑÐ½ÑÑÐ¾Ð¿Ð¸ÐµÐ¹ Ð¸ Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸. ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð²ÑÐ¸Ð³ÑÑÑÐ° Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð¾Ð² Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ OFDM Ð·Ð° ÑÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿Ð¾ Ð¿Ð¾Ð´ Ð½ÐµÑÑÑÐ¸Ð¼ Ð¸ ÑÐ¾Ð·Ð²ÐµÐ·Ð´Ð¸Ð¹ Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ ÑÐ½ÑÑÐ¾Ð¿Ð¸ÐµÐ¹. Ð Ð°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°Ð»Ð¸ÑÑ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÐºÐ°Ð½Ð°Ð»Ð° Ñ ÑÐ¸Ð¿Ð¾Ð²ÑÐ¼Ð¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸ÑÐ¼Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ Ð´Ð°Ð½Ð½ÑÑ Ð¸ ÑÐ°ÑÑÐ¾ÑÐ°Ð¼Ð¸ Ð´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸: ÐºÐ°Ð½Ð°Ð» Ñ ÐÐÐÐ¨, ÐºÐ°Ð½Ð°Ð» ADSL, ÐºÐ°Ð½Ð°Ð» Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð»Ð¸Ð½Ð¸Ð¹ ÑÐ²ÑÐ·Ð¸ ÑÐ¾Ð»ÑÐºÐ¾ Ñ ÑÐ¸Ð»ÑÑÑÐ¾Ð¼ ÐÐµÑÑÐµÐ»Ñ Ð¸ ÑÐ¸Ð»ÑÑÑÐ¾Ð¼ ÐÐµÑÑÐµÐ»Ñ Ð²Ð¼ÐµÑÑÐµ Ñ ÑÑÐ¾Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸ÐµÐ¹. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ Ð¿ÑÑÐµÐ¼ Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð² ÑÑÐµÐ´Ðµ MATLAB. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Â«Ð¶Ð°Ð´Ð½ÑÐ¹Â» Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð´Ð»Ñ ÑÐ°Ð±Ð¾ÑÑ Ñ QAM ÑÐ¾Ð·Ð²ÐµÐ·Ð´Ð¸ÑÐ¼Ð¸ Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ ÑÐ½ÑÑÐ¾Ð¿Ð¸ÐµÐ¹. ÐÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½ Ð²ÑÐ¸Ð³ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ. ÐÑÐ¸Ð³ÑÑÑ ÑÐ¾ÑÑÐ°Ð²Ð¸Ð» Ð¾Ñ 1,05 Ð´Ð¾ 2,15 Ð´Ð Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ ÑÑÐµÐ½Ð°ÑÐ¸Ñ. Ð¢Ð°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ QAM ÑÐ¾Ð·Ð²ÐµÐ·Ð´Ð¸Ð¹ Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ ÑÐ½ÑÑÐ¾Ð¿Ð¸ÐµÐ¹ Ð¸ Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð°Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿ÐµÑÑÐ¿ÐµÐºÑÐ¸Ð²Ð½ÑÐ¼.
description: The subject of the graduate qualification work is âApplication of QAM signal constellations with fractional entropy and power allocation with OFDM in frequency selective channelsâ. This work is devoted to the study of the possibility of energy gain in the conditions of frequency-selective channels with OFDM due to the use of an algorithm for distributing power over subcarriers and constellations with fractional entropy. Several variants of a channel with typical data rates and sampling rates were considered: channel with AWGN, ADSL channel, optical communication channel with only Bessel filter and Bessel filter along with chromatic dispersion. The study was carried out by simulation in the MATLAB environment. A modified "greedy" algorithm for working with QAM constellations with fractional entropy is proposed. The benefit of use has been demonstrated. The gain ranged from 1.05 to 2.15 dB, depending on the scenario. Thus, the use of QAM constellations with fractional entropy and adaptive power distribution in frequency selective channels is promising.