基于多參數(shù)加權(quán)分?jǐn)?shù)階傅里葉變換的星座預(yù)編碼系統(tǒng)研究與實(shí)現(xiàn)
doi: 10.11999/JEIT170673 cstr: 32379.14.JEIT170673
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61271250, 61571460)
Analysis and Implementation of Constellation Precoding System Based on Multiple Parameters Weighted-type Fractional Fourier Transform
Funds:
The National Natural Sience Foundation of China (61271250, 61571460)
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摘要: 針對(duì)當(dāng)前多參數(shù)加權(quán)分?jǐn)?shù)階傅里葉變換(Multiple Parameters Weighted-type FRactional Fourier Transform, MP-WFRFT)星座特征缺乏定量研究的缺限,該文提出一種新型的星座疊加數(shù)學(xué)模型。通過(guò)分別研究信號(hào)的時(shí)域及頻域分量,給出了星座模糊及裂變的定性及定量分析結(jié)論,并搭建了基于MP-WFRFT的星座預(yù)編碼系統(tǒng)。通過(guò)構(gòu)建相關(guān)混合整數(shù)優(yōu)化模型,并利用遺傳算法進(jìn)行模型優(yōu)化,進(jìn)而設(shè)計(jì)出符合預(yù)期通信需求的預(yù)編碼系統(tǒng)。經(jīng)仿真分析,驗(yàn)證了所提出的星座疊加數(shù)學(xué)模型及優(yōu)化方案的正確性;同時(shí)通過(guò)USRP硬件平臺(tái)測(cè)試表明了所搭建的基于MP-WFRFT星座預(yù)編碼系統(tǒng)的可行性。
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關(guān)鍵詞:
- 星座預(yù)編碼 /
- 混合載波系統(tǒng) /
- 多參數(shù)加權(quán)分?jǐn)?shù)階傅里葉變換 /
- 混合整數(shù)優(yōu)化
Abstract: In view of the fact that there exists little research on the constellation characteristic of Multiple Parameters Weighted-type FRactional Fourier Transform (MP-WFRFT), a novel mathematical model based on constellation superposition is proposed. By analyzing the time domain and frequency domain components of the MP-WFRFT modulated signal, the quantitative and qualitative conclusions are provided, about the constellation splitting and Gaussian-like characteristics and the constellation precoding system is built based on MP-WFRFT. The related mixed integer optimization model is put forward and the Genetic Algorithm (GA) is used to solute the optimization, Then the desired MP-WFRFT-based precoding system is obtained. The simulation results demonstrate that the proposed constellation superposition model and its corresponding optimization model are correct. Besides, the tests obtained on USRP platforms also show that the constellation precoding system based on MP-WFRFT is practical. -
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