title: Ð¡Ð½Ð¸Ð¶ÐµÐ½Ð¸Ðµ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ° Ð½ÐµÐ¾ÑÑÐ¾Ð³Ð¾Ð½Ð°Ð»ÑÐ½ÑÑ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¿ÑÑÐµÐ¼ Ð´Ð¾Ð±Ð°Ð²Ð»ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÐµÐºÑÐ¸ÑÑÑÑÐ¸Ñ Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ
title: Ð½Ð°ÑÑÐ½ÑÐ¹ Ð´Ð¾ÐºÐ»Ð°Ð´
titleType: Subtitle
title: Reducing the peak-to-average power ratio of nonorthogonal multicarrier signals using the correcting subcarriers
Creators: name: ÐÐ³ÑÐµÐ½ ÐÐ³Ð¾Ðº Ð¢Ð°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: 2018
Subjects: ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ
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description: ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° Ð²ÑÐ±Ð¾ÑÐ¾ÑÐ½ÑÑ ÑÑÐµÐ´Ð½ÐµÐ³Ð¾ Ð¸ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¸ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ° Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ Ð¾ÑÑÐ¾Ð³Ð¾Ð½Ð°Ð»ÑÐ½ÑÐ¼ Ð¸ Ð½ÐµÐ¾ÑÑÐ¾Ð³Ð¾Ð½Ð°Ð»ÑÐ½ÑÐ¼ ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¼ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸ÐµÐ¼, Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¼ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ðµ Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ Ð¸ ÑÐ¿Ð¾ÑÐ¾Ð±Ð°Ñ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»ÑÑÐ¸Ð¸. Ð¢Ð¾ÑÐ½Ð¾ÑÑÑ ÑÐ°ÑÑÐµÑÐ° Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ° Ð·Ð°Ð²Ð¸ÑÐ¸Ñ Ð¾Ñ ÑÐ°Ð·Ð¼ÐµÑÐ° Ð²ÑÐ±Ð¾ÑÐºÐ¸ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð¼Ð²Ð¾Ð»Ð¾Ð², Ð° ÑÐ°ÐºÐ¶Ðµ Ð¾Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸. ÐÐ¾Ð»ÑÑÐµÐ½Ñ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ (ÑÐ°Ð·Ð¼ÐµÑÑ Ð²ÑÐ±Ð¾ÑÐºÐ¸ Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸), Ð¿ÑÐ¸ ÐºÐ¾ÑÐ¾ÑÑÑ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐµ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ðµ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸ Ð½Ðµ Ð²Ð»Ð¸ÑÐµÑ Ð½Ð° Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð²ÑÐ±Ð¾ÑÐ¾ÑÐ½ÑÑ ÑÑÐµÐ´Ð½ÐµÐ³Ð¾ Ð¸ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¸ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ°. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ñ ÐºÐ°Ðº Ð´Ð»Ñ Ð¼Ð°Ð»Ð¾Ð³Ð¾, ÑÐ°Ðº Ð¸ Ð´Ð»Ñ Ð±Ð¾Ð»ÑÑÐ¾Ð³Ð¾ ÑÐ¸ÑÐ»Ð° Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ Ð² ÑÐ¸Ð³Ð½Ð°Ð»Ðµ. 
ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ° Ð½Ð¸Ð·ÐºÐ¾Ð¹ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð´Ð»Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ñ Ð½ÐµÐ¾ÑÑÐ¾Ð³Ð¾Ð½Ð°Ð»ÑÐ½ÑÐ¼ ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¼ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸ÐµÐ¼ (SEFDM) Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐµÐ·ÐµÑÐ²Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ (Tone Reservation). Ð ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð¼ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ðµ Ð´Ð»Ñ ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ° Ð¿ÑÐµÐ´Ð»Ð°Ð³Ð°ÐµÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ Ð¼Ð°Ð»ÑÑ ÑÐ°ÑÑÑ Ð¿Ð¾Ð»Ð¾ÑÑ ÑÐ°ÑÑÐ¾Ñ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¿ÑÐ¸ Ð¿ÐµÑÐµÑÐ¾Ð´Ðµ Ð¾Ñ OFDM- Ðº SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ð°Ð¼ Ð±ÐµÐ· Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ÑÑÐ¸ Ð¾ÑÐ¿ÑÐ°Ð²ÐºÐ¸ ÑÑÐ¾ÑÐ¾Ð½Ð½ÐµÐ¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¿ÑÐ¸ÐµÐ¼Ð½Ð¾Ð¹ ÑÑÐ¾ÑÐ¾Ð½Ðµ. Ð ÑÑÐ¾Ð¹ Ð¿Ð¾Ð»Ð¾ÑÐµ ÑÐ°ÑÑÐ¾Ñ Ð¿ÑÐµÐ´Ð»Ð°Ð³Ð°ÐµÑÑÑ ÑÐ°Ð·Ð¼ÐµÑÐ°ÑÑ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ðµ ÑÐ¾ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÐ¼Ð¸ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»ÑÑÐ¸Ð¾Ð½Ð½ÑÐ¼Ð¸ ÑÐ¸Ð¼Ð²Ð¾Ð»Ð°Ð¼Ð¸. ÐÐ°Ð»ÐµÐµ Ð¿ÑÑÐµÐ¼ Ð¿ÐµÑÐµÐ±Ð¾ÑÐ° Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ Ð²ÑÐ±Ð¸ÑÐ°ÑÑ SEFDM-ÑÐ¸Ð¼Ð²Ð¾Ð» Ñ Ð½Ð°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ð¼ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ¾Ð¼. ÐÐ°Ð¶Ð½Ð¾Ð¹ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÑÑ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ¾Ñ ÑÐ°ÐºÑ, ÑÑÐ¾ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ðµ ÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ñ Ð¿Ð¾ Ð¿Ð¾Ð»Ð¾ÑÐµ ÑÐ¸Ð³Ð½Ð°Ð»Ð°, ÑÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ ÑÐ½Ð¸Ð·Ð¸ÑÑ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð·Ð° ÑÑÐµÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð±Ð»Ð¾ÐºÐ¾Ð² Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð³Ð¾ Ð±ÑÑÑÑÐ¾Ð³Ð¾ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¤ÑÑÑÐµ (ÐÐÐÐ¤) ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð½Ð¾Ð¹ ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸. ÐÐµÐ»Ð¸ÑÐ¸Ð½Ð° ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾ÑÐ° Ð·Ð°Ð²Ð¸ÑÐ¸Ñ Ð¾Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð½Ð¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ, Ð¾Ñ ÑÐ¸ÑÐ»Ð° Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¾Ñ ÑÐ¸ÑÐ»Ð° ÑÐºÐ²Ð¸Ð²Ð°Ð»ÐµÐ½ÑÐ½ÑÑ ÐºÐ°Ð½Ð´Ð¸Ð´Ð°ÑÐ¾Ð² Ð½Ð° Ð¼Ð¸Ð½Ð¸Ð¼Ð°Ð»ÑÐ½ÑÐ¹ Ð¿Ð¸Ðº-ÑÐ°ÐºÑÐ¾Ñ. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÑÑÑÐµÐºÑÐ¸Ð²ÐµÐ½ ÐºÐ°Ðº Ð´Ð»Ñ Ð¼Ð°Ð»Ð¾Ð³Ð¾, ÑÐ°Ðº Ð¸ Ð´Ð»Ñ Ð±Ð¾Ð»ÑÑÐ¾Ð³Ð¾ ÑÐ¸ÑÐ»Ð° Ð¿Ð¾Ð´Ð½ÐµÑÑÑÐ¸Ñ Ð² SEFDM-ÑÐ¸Ð³Ð½Ð°Ð»Ðµ.
description: The algorithms for sample mean and dispersion of PAPR of multicarrier signals with orthogonal and non-orthogonal multiplexing are presented. Also the simulation results are presented for various number of subcarriers and modulation types. The accuracy of calculated sample mean and dispersion of PAPR depends on the sample size and on the oversampling rate. Simulation results are proposed for the sample sizes and oversampling rates for which the further increase in computation complexity does not affect the sample mean and dispersion of PAPR. The proposed algorithms are applicable for any number of subcarriers in the multicarrier signal.
A reduced complexity tone reservation peak-to-average power ratio (PAPR) reduction method for multicarrier signals with non-orthogonal frequency spacing (Spectrally Efficient Frequency Division Multiplexing, SEFDM) is proposed. It is based on the Tone Reservation method and suits for big number of subcarriers. It is proposed to use a small part of the frequency band gain obtained by SEFDM signals to reduce PAPR with no need to send side information to receiver. In the proposed algorithm, additional subcarriers for PAPR reduction are equally spaced over the signal bandwidth with randomly generated different combinations of manipulation symbols. The degree of reduction of the PAPR depends on the normalized subcarrier frequency spacing, the number of attempts of reserved subcarrier symbol combinations generation and number of subcarriers. Complexity issues for the proposed PAPR reduction algorithm are also considered: simple low additional resource approach based on reduced size IFFT blocks is recommended.