降低GFDM峰均功率比的低复杂度算法

doi:10.11959/j.issn.1000-0801.2021064

摘要/Abstract

摘要：

为降低广义频分复用（GFDM）系统的峰均功率比（PAPR）、实现复杂度，提出了基于 T 变换和选择性映射（SLM）的TSLM算法，该算法的设计思想是利用SLM算法增加GFDM时域备选信号的数量以降低其PAPR，利用T变换实现串联的沃尔什－哈达玛变换和离散傅里叶反变换以降低GFDM系统的复杂度。为进一步降低 GFDM 系统的 PAPR，提出了将 TSLM 算法和转换向量（CV）相结合的 TCSLM 算法，利用CV向量进一步增加GFDM时域备选信号的数量。结果表明，在子载波数为64、子符号数为3、相位序列数为2时，与SLM算法相比，TSLM算法和TCSLM算法的实现复杂度分别降低约21.9%和60.9%；在互补累计分布函数（CCDF）为10^-3时，TSLM算法和TCSLM算法的PAPR分别降低约0.6 dB和1 dB；在误比特率为10^-3时TSLM算法和TCSLM算法的误码性能均改善约2 dB。

关键词: 广义频分复用, 峰均功率比, 选择性映射, 转换向量, 误比特率

Abstract:

In order to reduce the peak-to-average power ratio (PAPR) and the implementation complexity of generalized frequency division multiplexing (GFDM) system, the TSLM algorithm based on T-transform and selective mapping (SLM) was proposed.The design idea of the TSLM algorithm was to use the SLM algorithm to increase the number of GFDM time-domain alternative signals to reduce the PAPR, and to use the T-transform to realize the joint operation of the Walsh-Hadamard transform and the inverse discrete Fourier transform to reduce the complexity of the system.To further reduce the PAPR of the GFDM system, the TCSLM algorithm combining the TSLM algorithm and the conversion vector (CV) was proposed, and the CV vector was used to increase the number of GFDM time-domain alternative signals.The results show that when the number of subcarriers is 64, the number of sub symbols is 3 and the number of phase sequences is 2, compared with the SLM algorithm, the implementation complexity of the TSLM and TCSLM algorithm decreases by about 21.9% and 60.9%, respectively.When the complementary cumulative distribution function (CCDF) is 10^-3, the PAPR of the TSLM and TCSLM algorithm decreases by about 0.6 dB and 1 dB, respectively.The error performance of the TSLM and the TCSLM algorithm is improved by about 2 dB when the bit error rate is 10^-3.

Key words: generalized frequency division multiplexing, peak to average power ratio, selective mapping, conversion vector, bit error rate

中图分类号:

TN911

蔡建辉, 李光球, 沈静洁. 降低GFDM峰均功率比的低复杂度算法[J]. 电信科学, 2021, 37(4): 82-89.

Jianhui CAI, Guangqiu LI, Jingjie SHEN. Low complexity algorithm for PAPR reduction in GFDM system[J]. Telecommunications Science, 2021, 37(4): 82-89.

图/表 9

图1

表1

系统参数、数学符号和矩阵函数的定义"

参数	定义	参数	定义
K	子载波数	$R^{u}$	N×1维相位序列
M	子符号数	$T$	K×K维T矩阵
N	N=KM	$W$	K×K维WHT矩阵
U	相位序列数	$D^{(M)}$	N×N 维滤波矩阵
$(\cdot)^{T}$	转置	$Q^{(M)}$	N×1维上采样矩阵
$diag (\cdot)$	对角矩阵	$G$	N×1维CV向量
$(\cdot)^{- 1}$	求逆	$H$	N×N 维信道矩阵
$\otimes$	克罗内克积	$I_{K}$	K×K维单位矩阵
$⊙$	循环卷积	$P^{(m)}$	N×N 维循环移位矩阵
$〈 \cdot 〉_{K} < >$	模K运算	$F$	K×K维IDFT矩阵

表1

图2

图3

图4

表2

图5

图6

图7

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算法类型	复数乘次数	复数加次数
SLM^[12]	UC	UJ
WHT-SLM^[13]	UC	UJ
TSLM	U (C-M(K-1))	3U(J/2-M(K-1))
TCSLM	0.5U(C-M(K-1))	3U(J/2+M)/2