高速低复杂度可重构L&R算法研究与实现

doi:10.12305/j.issn.1001-506X.2022.05.31

Abstract

Abstract:

A high-speed, low-complexity, reconfigurable frequency offset recovery implementation scheme based on the L&R (Luise and Reggiannini) algorithm is proposed to meet the high-speed and high-reliability requirements of the satellite payload data transmission system. The function of the algorithm is decomposed and modularized to facilitate the implementation of the algorithm logic architecture. The decomposed autocorrelation function modules are reused to reduce the resource consumption of the multiplier. The autocorrelation function of the pilot is superimposed in multiple sections to improve the accuracy of the L&R algorithm. The results show that the demodulation performance loss of the high-speed, low-complexity, reconfigurable frequency offset recovery scheme is close to 0 dB. Compared with the direct structure, the optimized algorithm can reduce the multiplier consumption by 92.59%, and the decomposed autocorrelation function module has reusability and reconfiguration. The algorithm can work at operating frequency up to 370.37 MHz, which has an extremely high application value in high-speed receivers.

Key words: high-speed, low-complexity, reconfigurable, decomposition, modular, accumulator

CLC Number:

TN911

Wanru HU, Zhugang WANG, Ruru MEI, Xuan CHEN. Research and implementation of high-speed and low-complexity reconfigurable L&R algorithm[J]. Systems Engineering and Electronics, 2022, 44(5): 1685-1693.

Figures/Tables 15

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References 28

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算法类别	理论频偏估计范围
Kay算法	\|Δf\|＜$\frac{1}{{2{T_s}}}$
C&S算法	\|Δf\|＜$\frac{1}{{2{T_s}}}$
Fitz算法	\|Δf\|＜$\frac{1}{{2{T_s}}}$
L&R算法	\|Δf\|＜$\frac{1}{{2{T_s}}}$
M&M算法	\|Δf\|＜$\frac{1}{{2{T_s}}}$
Jiang算法	\|Δf\|＜$\frac{1}{{2{T_s}}}$

调制方式	符号速率/ MHz	频偏/ MHz	相偏/ (°)	码长	帧长
16APSK(r=2.85)	250	5	2	8 160	2 166

计算复杂度	L&R 算法^[15] (N=9)	改进 M&M 算法^[16] (M=9)	L&R 算法^[16] (N=18)	直接结构： L&R算法 (N=17)	改进结构：高速低复杂度可重构 L&R算法 (N=17)
乘法器	288	287	477	459	34
反正切	1	1	1	1	1

FPGA资源消耗情况	LUT	FF	BRAM	DSP
资源消耗个数	5 488	8 330	7.5	68
资源消耗占比/%	2.26	1.72	1.25	3.54

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Research and implementation of high-speed and low-complexity reconfigurable L&R algorithm

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