title: ÐÐ¾Ð¼ÐµÑ Ð¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM Ð² ÐºÐ°Ð½Ð°Ð»Ð°Ñ Ñ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÐ¼Ð¸ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸ Ð¿ÑÐ¸ Ð½ÐµÐ¸Ð´ÐµÐ°Ð»ÑÐ½ÑÑ Ð¾ÑÐµÐ½ÐºÐ°Ñ ÐºÐ°Ð½Ð°Ð»Ð°
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: BER Performances of SEFDM-signals in frequency selective fading channel with imperfect channel estimation
Creators: name: ÐÐ³ÑÐµÐ½ ÐÑÐµÑ Ð¢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: 2020
Subjects: SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ñ
SEFDM Ð´ÐµÐ¼Ð¾Ð´ÑÐ»ÑÑÐ¾Ñ
ZF ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑ
MMSE ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑ
Ð¸ÑÐµÑÐ°ÑÐ¸Ð²Ð½Ð°Ñ Ð´ÐµÐ¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ñ
ÐºÐ°Ð½Ð°Ð»Ñ Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸
Ð½ÐµÐ¸Ð´ÐµÐ°Ð»ÑÐ½Ð°Ñ Ð¾ÑÐµÐ½ÐºÐ° ÐºÐ°Ð½Ð°Ð»Ð°
SEFDM signals
SEFDM demodulator
ZF equalizer
MMSE equalizer
iterative demodulator
fading channels
imperfect channel estimation

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±ÑÐ»Ð° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² ÐºÐ°Ð½Ð°Ð»Ð°Ñ Ñ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÐ¼Ð¸ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸ Ð¿ÑÐ¸ Ð½ÐµÐ¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¾ÑÐµÐ½ÐºÐµ ÐºÐ°Ð½Ð°Ð»Ð°. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½ Ð¸ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¾Ð±ÑÐ¸Ð¹ Ð¸ Ð¿ÑÐ¾ÑÑÐ¾Ð¹ Ð¼ÐµÑÐ¾Ð´ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð½ÐµÐ¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¾ÑÐµÐ½ÐºÐ¸ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÐºÐ°Ð½Ð°Ð»Ð° Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸ Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ Ð¿Ð¾Ð¼ÐµÑÐ¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² ÐºÐ°Ð½Ð°Ð»Ð°Ñ Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸ Ð¿ÑÑÐµÐ¼ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð´ÐµÐºÐ¾Ð´ÐµÑÐ°. ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿ÑÐ¸ÐµÐ¼Ð° Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ ÐºÑÐ¸ÑÐµÑÐ¸Ñ Ð¼Ð¸Ð½Ð¸Ð¼ÑÐ¼Ð° ÑÑÐµÐ´Ð½ÐµÐ¹ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ¸ Ð¾ÑÐ¸Ð±ÐºÐ¸ Ð½Ð° ÑÐ¸Ð¼Ð²Ð¾Ð», ÐºÐ°Ðº Ð¸ ÑÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð´ÐµÐºÐ¾Ð´ÐµÑ, Ð¿Ð¾ÐºÐ°Ð·Ð°Ð½ ÑÐ¾ÑÐ¾ÑÐ¸Ð¹ ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð². ÐÐ¾ Ð²ÑÐµÑ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-ÑÐµÐ»ÐµÐºÑÐ¸Ð²Ð½ÑÑ LTE ÐºÐ°Ð½Ð°Ð»Ð°Ñ Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÐµÐ¼ Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ Ð´Ð¾Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¸Ð¼ ÑÐ¼ÐµÑÐµÐ½Ð¸ÐµÐ¼ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¿ÑÐ¾Ð¸Ð³ÑÑÑ Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð¼ OFDM Ð½Ðµ Ð¿ÑÐµÐ²ÑÑÐ°ÐµÑ 2 Ð´Ð Ð² ÑÐ»ÑÑÐ°Ðµ Ð¾ÑÑÑÑÑÑÐ²Ð¸Ñ Ð½Ð°Ð»Ð¸ÑÐ¸Ñ Ð½ÐµÑÐ¾ÐºÑÐ°ÑÐ¸Ð¼Ð¾Ð¹ ÑÑÐµÐ´Ð½ÐµÐ¹ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ¸ Ð¾ÑÐ¸Ð±ÐºÐ¸. ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½ Ð¼ÐµÑÐ¾Ð´ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ñ SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÐºÐ°Ðº OFDM Ñ Ð¿Ð¾Ð½Ð¸Ð¶ÐµÐ½Ð½Ð¾Ð¼ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾Ð¼ Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ Ð½Ð° ÑÐ¸Ð¼Ð²Ð¾Ð»Ðµ. ÐÐ¾Ð»ÑÑÐµÐ½Ñ Ð¿Ð¾Ð¼ÐµÑÐ¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² ÐºÐ°Ð½Ð°Ð» Ñ Ð·Ð°Ð¼Ð¸ÑÐ°Ð½Ð¸ÑÐ¼Ð¸ Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Zero-Forcing ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑ, MMSE ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑÐ¾Ð² Ð¸ BCJR Ð´ÐµÐ¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸ Ð¿ÑÐ¸ Ð½ÐµÐ¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¾ÑÐµÐ½ÐºÐµ ÐºÐ°Ð½Ð°Ð»Ð°. ÐÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸ ZF-ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑÐ° Ð¸ MMSE-ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑÐ° Ð² ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¸ Ð¼ÐµÐ¶Ð´Ñ 3 LTE ÐºÐ°Ð½Ð°Ð»Ð°Ð¼Ð¸ Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ ÐÐ¾Ð¿Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¸Ð¼ ÑÐ¼ÐµÑÐµÐ½Ð¸ÐµÐ¼, Ð½Ð°Ð¸Ð»ÑÑÑÐ¸Ð¹ ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿Ð¾Ð»ÑÑÐµÐ½ Ð´Ð»Ñ ÐºÐ°Ð½Ð°Ð»Ð° LTE EPA Ñ ÐÐ¾Ð¿Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¸Ð¼ ÑÐ¼ÐµÑÐµÐ½Ð¸ÐµÐ¼ 5 ÐÑ, Ð° Ð½Ð°Ð¸ÑÑÐ´ÑÐ¸Ð¹ ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ Ð±ÑÐ» Ð¿Ð¾Ð»ÑÑÐµÐ½ Ð´Ð»Ñ ÐºÐ°Ð½Ð°Ð»Ð° LTE ETU Ñ ÐÐ¾Ð¿Ð¿Ð»ÐµÑÐ¾Ð²-ÑÐºÐ¸Ð¼ ÑÐ¼ÐµÑÐµÐ½Ð¸ÐµÐ¼ 300 ÐÑ. ÐÐ»Ñ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð¼ÐµÑÐ¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ÐµÐ¼Ð° Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¼ÐµÑÐ¾Ð´ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¸ÑÐµÑÐ°ÑÐ¸Ð²Ð½Ð¾Ð¹ Ð´ÐµÐ¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸. ÐÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð¼ÐµÑÐ¾ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÑÐ»ÑÑÑÐ°ÐµÑÑÑ. ÐÑÐ¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¸ Ð¿ÑÐ¾Ð¸Ð³ÑÑÑ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿ÑÑÐµÐ¼ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ZF-ÑÐºÐ²Ð°Ð»Ð°Ð¹Ð·ÐµÑÐ° Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¿ÑÐ¸ÐµÐ¼Ð¾Ð¼ OFDM Ð² Ð¾Ð´Ð½Ð¾Ð¼ Ð¸ ÑÐ¾Ð¼ Ð¶Ðµ ÑÑÐ»Ð¾Ð²Ð¸Ð¸ ÑÐ¾-ÑÑÐ°Ð²Ð¸Ð» Ð±Ð¾Ð»ÑÑÐ¾Ð¹ (Ð¿ÑÐ¸Ð¼ÐµÑÐ½Ð¾ 5 â 10 Ð´Ð). ÐÑÐ¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¸ Ð¿ÑÐ¾Ð¸Ð³ÑÑÑ Ð¿ÑÐ¸ÐµÐ¼Ð° SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¿ÑÐ¸ÐµÐ¼Ð¾Ð¼ OFDM Ð² Ð¾Ð´Ð½Ð¾Ð¼ Ð¸ ÑÐ¾Ð¼ Ð¶Ðµ ÑÑÐ»Ð¾Ð²Ð¸Ð¸ ÑÐ¾ÑÑÐ°Ð²Ð¸Ð» Ð½Ðµ Ð±Ð¾Ð»ÑÑÐµ 0.5 Ð´Ð.
description: This work was devoted to modeling a model for receiving SEFDM sig-nals in channels with frequency selective fading in imperfect channel estimation. A general and simple method for generating an imperfect estimate of the fading characteristic of a channel with fading is considered and proposed and the potential bit error rate performance of receiving SEFDM signals in fading channels is obtained by using a spherical decoder. The algorithm for receiving the optimal minimum criterion of the average probability of error per symbol, like a spherical decoder, has shown a good result of receiving SEFDM signals. In all frequency selective LTE channels with fading with the maximum Doppler shift, the energy loss in comparison with the OFDM signal does not exceed 2 dB in the absence of an irreducible average error probability. A method considering SEFDM signals as OFDM with a reduced number of subcarriers per symbol is presented. The potential bit error rate performance of receiving SEFDM signals into a channel with fading using the Zero-Forcing (ZF) equalizer, MMSE equalizers, and BCJR demodulation for non-ideal channel estimation was obtained. When using the ZF equalizer and MMSE equalizer, in a comparison between 3 LTE fading channels with maximum Doppler shift, the best result of receiving SEFDM signals was obtained for the LTE EPA channel with a Doppler shift of 5 Hz, and the worst result was obtained for the LTE ETU channel with a Doppler shift of 300 Hz. To increase the bit error rate performance of reception, a method for receiving SEFDM signals based on iterative demodulation is proposed. By increasing the value of the parameter of the coefficient compression, the bit error rate performance of reception SEFDM signals improves. When the energy loss of the SEFDM signals by applying the ZF equalizer compared to the reception of OFDM in the same condition was large (about 5 â 10 dB). When the energy loss of reception of SEFDM signals compared with the reception of OFDM in the same condition was not more than 0.5 dB.