title: ÐÑÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿ÐµÑÐ²Ð¸ÑÐ½Ð¾Ð¹ Ð¸ Ð²ÑÐ¾ÑÐ¸ÑÐ½Ð¾Ð¹ ÑÐ¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð² ÑÐ¸ÑÑÐµÐ¼Ð°Ñ 5G
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: Allocation of primary and secondary synchronization signals in 5G systems
Creators: name: Ð¤ÑÐ¾Ð»Ð¾Ð², Ð Ð¾Ð¼Ð°Ð½
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: 2023
Subjects: 5G NR
PSS
SSS
SSB
ÑÐµÑÐµÐ¼Ð¿Ð»ÐµÑ Ñ Ð´ÑÐ¾Ð±Ð½ÑÐ¼ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð¼ Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸
ÐºÐ°ÑÐºÐ°Ð´Ð½Ð°Ñ Ð´ÐµÑÐ¸Ð¼Ð°ÑÐ¸Ñ
Ð¿Ð¾Ð»Ð¸ÑÐ°Ð·Ð½Ð¾Ðµ ÑÐ°Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐ¸Ð»ÑÑÑÐ°
digital step-down frequency converter
resampler with fractional resampling coefficient
cascade decimation
polyphase decomposition of the impulse response of the filter

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â ÑÐ¸Ð³Ð½Ð°Ð» ÑÐ¸ÑÑÐµÐ¼Ñ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ Ð´Ð°Ð½Ð½ÑÑ 5G NR. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ðµ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¿Ð¾Ð½Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÐ°ÑÑÐ¾ÑÑ Ð´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ¸ÑÐ¾ÐºÐ¾Ð¿Ð¾Ð»Ð¾ÑÐ½Ð¾Ð³Ð¾ Ð²ÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð´Ð¾ Ð¿Ð¾Ð»Ð¾ÑÑ Ð±Ð»Ð¾ÐºÐ° ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ (SSB) Ð´Ð»Ñ Ð¾Ð±Ð½Ð°ÑÑÐ¶ÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿ÐµÑÐ²Ð¸ÑÐ½Ð¾Ð¹ Ð¸ Ð²ÑÐ¾ÑÐ¸ÑÐ½Ð¾Ð¹ ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ (PSS Ð¸ SSS). Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÐºÐ°ÑÐºÐ°Ð´Ð½Ð¾Ð¹ Ð´ÐµÑÐ¸Ð¼Ð°ÑÐ¸Ð¸, ÑÐµÑÐµÐ¼Ð¿Ð»ÐµÑ Ñ Ð´ÑÐ¾Ð±Ð½ÑÐ¼ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð¼ Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿Ð¾Ð»Ð¸ÑÐ°Ð·Ð½ÑÑ ÑÐ¸Ð»ÑÑÑÐ¾Ð². Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÑ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ ÑÐ¸Ð»ÑÑÑÐ°Ð¼Ð¸-Ð´ÐµÑÐ¸Ð¼Ð°ÑÐ¾ÑÐ°Ð¼Ð¸ Ð¸ Ð¸Ñ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾Ð¼, Ð° ÑÐ°ÐºÐ¶Ðµ Ð²Ð°ÑÐ¸Ð°Ð½ÑÑ Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ñ Ð´ÑÐ¾Ð±Ð½ÑÐ¼ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð¼. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð´Ð°Ð½Ð½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¿Ð¾ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÐ¼ Ð·Ð°ÑÑÐ°ÑÐ°Ð¼, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐ¹ Ð²Ð°ÑÐ¸Ð°Ð½Ñ. Ð¡ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½ ÑÐ°ÐºÑ Ð¾Ð±Ð½Ð°ÑÑÐ¶ÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿ÐµÑÐ²Ð¸ÑÐ½Ð¾Ð¹ Ð¸ Ð²ÑÐ¾ÑÐ¸ÑÐ½Ð¾Ð¹ ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð² Ð¾ÑÑÐ¸Ð»ÑÑÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð¿Ð¾Ð»Ð¾ÑÐµ ÑÐ°ÑÑÐ¾Ñ. ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÐµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ, Ð² ÑÐ¸Ð»Ñ ÑÐ²Ð¾ÐµÐ¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸, Ð¼Ð¾Ð³ÑÑ Ð½Ð°Ð¹ÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÐºÐ°Ðº Ð² ÑÐ¸ÑÐ¾ÐºÐ¾Ð¿Ð¾Ð»Ð¾ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ ÑÐ²ÑÐ·Ð¸, ÑÐ°Ðº Ð¸ Ð² Ð´ÑÑÐ³Ð¸Ñ ÑÐ°Ð·Ð½Ð¾Ð¾Ð±ÑÐ°Ð·Ð½ÑÑ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð°Ñ Ð¿ÑÐ¸ÐµÐ¼Ð° Ð¸ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð². ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ Ð¾ÑÐºÑÑÑÑÐµ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½ÑÐµ ÑÐµÑÑÑÑÑ Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð¿Ð¾Ð¸ÑÐºÐ° Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ ÑÑÐµÐ´ÑÑÐ²Ð° Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ð¸ (Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹) ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ MATLAB. ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¾ (Ð¿ÑÐ¾ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¾) Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ðµ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ Visual Studio.
description: The subject of the graduate qualification work is the signal of the 5G NR data transmission system. The aim of the work is to reduce the computational complexity of algorithms for lowering the sampling rate of a broadband input signal to the synchronization signal block band (SSB) for detecting primary and secondary synchronization signals (PSS and SSS). As a result of the research, a cascade decimation algorithm and a resampler with a fractional resampling coefficient using polyphase filters were developed. Variants with different decimator filters and their number, as well as variants of oversampling with a fractional coefficient are considered. The evaluation of these algorithms by computational costs was carried out, which made it possible to determine the effective option. With the help of correlation analysis, the fact of detection of primary and secondary synchronization signals in the filtered frequency band was established. The presented algorithms, due to their versatility, can be used both in broadband communication systems and in other various signal reception and processing devices. Open educational resources and information search and analysis programs were used. MATLAB automation (automated) development tools were used. Visual Studio software has been applied (tested).