title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð´Ð»Ñ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐ¸ÑÑÐµÐ¼ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸
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: Application FBMC signals to improve the spectral efficiency of information transmission systems
Creators: name: ÐÐ°ÐºÑÐ¸Ð¼Ð¾Ð²Ð°, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑ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: 2020
Subjects: ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐµ ÑÐ¸Ð³Ð½Ð°Ð»Ñ
OFDM
FBMC
UFMC
F-OFDM
ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸
Ð¼Ð½Ð¾Ð³Ð¾Ð»ÑÑÐµÐ²Ð¾Ð¹ ÐºÐ°Ð½Ð°Ð» Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸
ÐºÐ¾Ð¼Ð¿Ð»ÐµÐ¼ÐµÐ½ÑÐ°ÑÐ½Ð°Ñ ÐºÑÐ¸Ð²Ð°Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð¿Ð¸ÐºÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ðº ÑÑÐµÐ´Ð½ÐµÐ¹ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸
spectrally effective signals
energy characteristics
multipath channel with fading
complementary distribution curve of peak power to average power

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ñ FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ñ Ð¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¿ÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸ Ð² ÑÐ¸ÑÑÐµÐ¼Ð°Ñ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ Ð·Ð°ÐºÐ»ÑÑÐ°ÐµÑÑÑ Ð² Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½ÑÑ Ð¸ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾ÑÐ¾ÑÐ¸Ð¿-ÑÐ¸Ð»ÑÑÑÐ¾Ð², Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ñ Ð°Ð»ÑÑÐµÑÐ½Ð°ÑÐ¸Ð²Ð½ÑÐ¼Ð¸ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¼Ð¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð°Ð¼Ð¸.
ÐÐ»Ñ Ð´Ð¾ÑÑÐ¸Ð¶ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾Ð¹ ÑÐµÐ»Ð¸ Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð². Ð ÐºÐ°ÑÐµÑÑÐ²Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð±ÑÐ»Ð¸ Ð²ÑÐ±ÑÐ°Ð½Ñ OFDM, UFMC Ð¸ F-OFDM ÑÐ¸Ð³Ð½Ð°Ð»Ñ. ÐÐ»Ñ Ð²ÑÐµÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² ÑÑÐµÐ´Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ MATLAB Ð±ÑÐ»Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ ÑÐµÑÐµÐ· Ð¼Ð½Ð¾Ð³Ð¾Ð»ÑÑÐµÐ²Ð¾Ð¹ ÐºÐ°Ð½Ð°Ð» Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÐµÐ¼ Ð¸ Ð¿ÑÐ¸ÐµÐ¼Ð° ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð².
Ð¡ÑÐ°Ð²Ð½Ð¸Ð»Ð¸ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½ÑÐµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð½ÑÐ¼Ð¸ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ°Ð¼Ð¸, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÑÐ°Ð²Ð½Ð¸Ð»Ð¸ ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½ÑÐµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ OFDM, UFMC Ð¸ F-OFDM ÑÐ¸Ð³Ð½Ð°Ð»Ð°Ð¼Ð¸. ÐÐ°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ð¼ ÑÑÐ¾Ð²Ð½ÐµÐ¼ Ð²Ð½ÐµÐ¿Ð¾Ð»Ð¾ÑÐ½ÑÑ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ð¹ Ð¾Ð±Ð»Ð°Ð´Ð°ÐµÑ FBMC ÑÐ¸Ð³Ð½Ð°Ð» Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ Ð¿ÑÐ¾ÑÐ¾ÑÐ¸Ð¿-ÑÐ¸Ð»ÑÑÑÐ¾Ð¼ ÐÐ¤2, Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ F-OFDM, PHYDYAS Ð¸ ÐÐ¤1 Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸ ÑÐ¾Ð²Ð¿Ð°Ð»Ð¸. ÐÐ°Ð¸Ð±Ð¾Ð»ÑÑÐ¸Ð¹ ÑÑÐ¾Ð²ÐµÐ½Ñ Ð²Ð½ÐµÐ¿Ð¾Ð»Ð¾ÑÐ½ÑÑ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ð¹ Ð¾ÐºÐ°Ð·Ð°Ð»ÑÑ Ñ OFDM. Ð£ FBMC Ñ RRC Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ¾Ð¼ Ð´Ð°Ð½Ð½ÑÐ¹ ÑÑÐ¾Ð²ÐµÐ½Ñ ÑÐ°ÐºÐ¶Ðµ Ð²ÑÑÐ¾Ðº.
ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ OFDM, UFMC Ð¸ F-OFDM ÑÐ¸Ð³Ð½Ð°Ð»Ð°Ð¼Ð¸ Ð² ÐºÐ°Ð½Ð°Ð»Ðµ ÐÐÐÐ¨ Ð¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼Ð½Ð¾Ð³Ð¾Ð»ÑÑÐµÐ²ÑÑ ÐºÐ°Ð½Ð°Ð»Ð°Ñ. ÐÐ°Ð±Ð»ÑÐ´Ð°ÐµÑÑÑ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ ÑÐ°ÑÑÐ¾ÑÑ Ð´Ð¾Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÐ¼ÐµÑÐµÐ½Ð¸Ñ Ð½Ð° OFDM, Ð² ÑÐ¾ Ð²ÑÐµÐ¼Ñ ÐºÐ°Ðº Ð½Ð° FBMC Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸ Ð½Ðµ Ð²Ð»Ð¸ÑÐµÑ. Ð­ÑÐ¾ ÑÐ²ÑÐ·Ð°Ð½Ð¾ Ñ ÑÐµÐ¼, ÑÑÐ¾ OFDM, Ð² Ð¾ÑÐ»Ð¸ÑÐ¸Ðµ Ð¾Ñ FBMC, ÑÐ¸Ð»ÑÐ½ÐµÐµ Ð¿Ð¾Ð´Ð²ÐµÑÐ¶ÐµÐ½ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸. Ð¥Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ OFDM, UFMC Ð¸ F-OFDM Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸ ÑÐ¾Ð²Ð¿Ð°Ð´Ð°Ð»Ð¸. Ð£ UFMC Ð½Ð°Ð±Ð»ÑÐ´Ð°Ð»ÑÑ Ð½ÐµÐ±Ð¾Ð»ÑÑÐ¾Ð¹ Ð¿ÑÐ¾Ð¸Ð³ÑÑÑ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ OFDM, ÑÑÐ¾ ÑÐ²ÑÐ·Ð°Ð½Ð¾ Ñ Ð½Ð°Ð»Ð¸ÑÐ¸ÐµÐ¼ Ð¸Ð½ÑÐµÑÑÐµÑÐµÐ½ÑÐ¸ÐµÐ¹ Ð¼ÐµÐ¶Ð´Ñ Ð¿Ð¾Ð´Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð°Ð¼Ð¸, Ð²Ð½Ð¾ÑÐ¸Ð¼Ð¾Ð¹ ÑÐ¸Ð»ÑÑÑÐ°ÑÐ¸ÐµÐ¹. 
ÐÐ¾Ð»ÑÑÐµÐ½Ð° ÐºÐ¾Ð¼Ð¿Ð»ÐµÐ¼ÐµÐ½ÑÐ°ÑÐ½Ð°Ñ ÐºÑÐ¸Ð²Ð°Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð¿Ð¸ÐºÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ðº ÑÑÐµÐ´Ð½ÐµÐ¹ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð´Ð»Ñ OFDM, UFMC, F-OFDM Ð¸ FBMC Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ Ð¿ÑÐ¾ÑÐ¾ÑÐ¸Ð¿-ÑÐ¸Ð»ÑÑÑÐ°Ð¼Ð¸. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð²ÑÑÑÐ½Ð¸Ð»Ð¸, ÑÑÐ¾ ÐºÑÐ¸Ð²ÑÐµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð´Ð»Ñ OFDM Ð¸ FBMC Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸ Ð¾Ð´Ð¸Ð½Ð°ÐºÐ¾Ð²Ñ, Ð° Ñ UFMC Ð¸ F-OFDM Ð½Ð°Ð±Ð»ÑÐ´Ð°ÐµÑÑÑ Ð¿ÑÐ¾Ð¸Ð³ÑÑÑ Ð½Ð° 0.5 Ð¸ 1 Ð´Ð ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¿Ð¾ ÑÑÐ¾Ð²Ð½Ñ 10e-3.
ÐÑÐ¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¸ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°Ð¼Ð¼ OFDM Ð¸ FBMC ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð², Ð¸Ð·Ð»ÑÑÐµÐ½Ð½ÑÑ Ñ HackRF One, ÑÐ±ÐµÐ´Ð¸Ð»Ð¸ÑÑ Ð² Ð½Ð¸Ð·ÐºÐ¾Ð¼ ÑÑÐ¾Ð²Ð½Ðµ Ð²Ð½ÐµÐ¿Ð¾Ð»Ð¾ÑÐ½ÑÑ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ð¹ FBMC Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ OFDM.
Ð¢Ð°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, FBMC Ð¸Ð¼ÐµÐµÑ Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ²Ð¾ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ² Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð´ÑÑÐ³Ð¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð², ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ Ð´Ð°Ð½Ð½ÑÑ ÑÑÐµÐ¼Ñ Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸ Ð² Ð½Ð¾Ð²ÑÑ ÑÑÐµÐ½Ð°ÑÐ¸ÑÑ Ð² ÑÐµÑÑÑ Ð±ÑÐ´ÑÑÐ¸Ñ Ð¿Ð¾ÐºÐ¾Ð»ÐµÐ½Ð¸Ð¹.
description: The given work is devoted to the analysis of FBMC signals and consideration of their characteristics when used in information transmission systems. The purpose of the work is to study the spectral and energy characteristics of FBMC signals using prototype filters obtained by various methods, as well as a comparison with alternative multi-frequency signals.
Analysis of the obtained methods for generating FBMC signals. As a comparison, OFDM, UFMC, and F-OFDM signals were selected. For all methods of generating multi-frequency signals in the MATLAB programming environment, simulation models were used for generating, transmitting through a multipath channel with fading and receiving signals.
Comparing the spectral characteristics of FBMC signals with the various pulses examined, as well as comparing the spectral characteristics of FBMC signals with OFDM, UFMC and F-OFDM signals. The FBMC signal with the optimal prototype filter PF2 has the lowest level of out-of-band emissions, the characteristics of F-OFDM, PHYDYAS and PF1 almost coincided. OFDM has the highest level of out-of-band emissions. For FBMC with RRC pulse, this level is also high.
The energy characteristics of FBMC signals with OFDM, UFMC, and F-OFDM signals in the ABGS channel and various multipath channels are compared. Observation has no effect on the frequency of Doppler radiation in OFDM, while FBMC is practically unaffected. This is due to the fact that OFDM, unlike FBMC, is more susceptible to frequency desynchronization. The characteristics of OFDM, UFMC, and F-OFDM are almost met. The UFMC showed a slight loss relative to OFDM, due to the presence of interference between subbands due to filtering.
A complementary average power distribution curve was obtained for OFDM, UFMC, F-OFDM and FBMC with various filter prototypes. As a result of the comparison, it turned out that the distribution curves for OFDM and FBMC are almost the same, and UFMC and F-OFDM show a loss of 0.5 and 1 dB, respectively, at a level of 10e-3.
When comparing the spectrogram of OFDM and FBMC signals emitted from HackRF One, the low level of out-of-band FBMC emissions compared to OFDM.
Thus, FBMC has many advantages relative to other methods of generating multi-frequency signals, which allow using the modeling scheme in new scenarios in future generations.