title: ÐÑÐµÐ½ÐºÐ° ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐ¾Ð²Ð¼ÐµÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¸ Ð¿Ð¾Ð¼ÐµÑ Ð¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾Ð³Ð¾ ÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸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: Analysis of the effectiveness of the joint application of multi-frequency signals and error correction codes
Creators: name: Ð¯ÐºÐ¾Ð²Ð»ÐµÐ², ÐÑÑÑÐ¼
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: 2024
Subjects: SEFDM
ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾-ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐµ ÑÐ¸Ð³Ð½Ð°Ð»Ñ
Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÐµ ÑÐ¸Ð³Ð½Ð°Ð»Ñ
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Ð¿Ð¾Ð»ÑÑÐ½ÑÐµ ÐºÐ¾Ð´Ñ
ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð°Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ
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Ð³ÑÐ°Ð½Ð¸ÑÐ° Ð¨ÐµÐ½Ð½Ð¾Ð½Ð°
ÑÐ°ÐºÑÐ¾Ð²Ð°Ñ ÑÐ¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¼Ð½Ð¾Ð³Ð¾Ð»ÑÑÐµÐ²Ð¾Ðµ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ
spectrally-efficient signals
multi-frequency signals
error correction codes
polar codes
spectral efficiency
noise immunity
Shannon bound
synchronization
fading channel

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ Ð¿Ð¾Ð¼ÐµÑÐ¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÐ¼ ÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ - Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÐºÐ¾Ð¼Ð±Ð¸Ð½Ð°ÑÐ¸Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ SEFDM ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð¿Ð¾Ð»ÑÑÐ½Ð¾Ð³Ð¾ ÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ¹ Ð´Ð¾ÑÑÐ¸ÑÑ Ð½Ð°Ð¸Ð±Ð¾Ð»ÑÑÐµÐ³Ð¾ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð²ÑÐ¸Ð³ÑÑÑÐ° Ð¿ÑÐ¸ Ð¾ÑÑÑÑÑÑÐ²Ð¸Ð¸ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¿Ð¾ÑÐµÑÑ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¸ÑÑÐµÐ¼ Ñ OFDM-Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸ÐµÐ¹. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÐÐÐ  ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸ Ð¸ ÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¿ÑÐ¸ ÐºÐ¾ÑÐ¾ÑÑÑ Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÐµÑÑÑ Ð½Ð°Ð¸Ð±Ð¾Ð»ÑÑÐ¸Ð¹ Ð²ÑÐ¸Ð³ÑÑÑ Ð² ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸. ÐÑÐ¾Ð²ÐµÐ´ÑÐ½ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ, Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÐºÑÐ¸Ð²ÑÐµ Ð¿Ð¾Ð¼ÐµÑÐ¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¸ Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¾ Ð¸Ñ ÑÑÐ¾Ð´ÑÑÐ²Ð¾ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¼Ð¾Ð¶ÐµÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÑÑÑÑ Ð² ÑÐ¸ÑÑÐµÐ¼Ð°Ñ ÑÐ²ÑÐ·Ð¸, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ¸Ñ Ð² Ð½Ð°ÑÑÐ¾ÑÑÐµÐµ Ð²ÑÐµÐ¼Ñ OFDM Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ñ. ÐÐµÑÑÐ¿ÐµÐºÑÐ¸Ð²Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¾Ð±ÑÑÐ»Ð¾Ð²Ð»ÐµÐ½Ñ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸ÐµÐ¼ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¸ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ²ÑÐ·Ð¸. Ð ÑÐ¾Ð´Ðµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÐÐÐ  Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: Ð°Ð½Ð°Ð»Ð¸Ð· Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ, ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ, Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ, ÑÐ¸Ð½ÑÐµÐ·, ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ. Ð£ÑÑÐµÐ½Ñ ÑÐµÑÐ¼Ð¸Ð½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐµ ÑÑÐµÐ´ÑÑÐ²Ð° Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ. ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¾ ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾-Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ Matlab, PothosSRD, SDRSharp.
description: The subject of the research â algorithms for generating multi-frequency signals with error correction coding. The purpose of the work is to determine the combination of parameters of frequency compression factor of the SEFDM signal and the polar coding rate, allowing to achieve the greatest spectral gain in the absence of energy losses relative to systems with OFDM modulation. As a result of work, modulation and coding parameters were established that provide the greatest gain in spectral efficiency. An experiment was carried out, as a result of which BER performance of the system were obtained and its similarity with the simulation results was demonstrated. The studied signal generation algorithm can be used in communication systems that currently use OFDM modulation. The prospects for using the algorithm are determined by increasing the spectral and energy efficiency of the communication system. During the implementation of the research work, the following research methods were used: literature analysis, comparison, modeling, synthesis, experiment. The terminological features of the subject area are taken into account and software tools are used to solve problems. Specialized software Matlab, PothosSRD, SDRSharp were used.