彭章友,張 興,劉艷艷

（1.上海大學(xué)通信與信息工程學(xué)院,上海200072;2.上海大學(xué)特種光纖與光接入網(wǎng)省部共建重點(diǎn)實(shí)驗(yàn)室,上海 200072）

高速移動(dòng)OFDM系統(tǒng)信干比的低復(fù)雜差分計(jì)算

彭章友1,2,張 興1,2,劉艷艷1,2

（1.上海大學(xué)通信與信息工程學(xué)院,上海200072;2.上海大學(xué)特種光纖與光接入網(wǎng)省部共建重點(diǎn)實(shí)驗(yàn)室,上海 200072）

針對(duì)高速移動(dòng)正交頻分復(fù)用系統(tǒng),提出了迭代消除子載波干擾的信干比差分計(jì)算方法。該方法把前后兩次迭代的子載波干擾進(jìn)行差分運(yùn)算,差分運(yùn)算值的加權(quán)作為干擾,每次迭代消除子載波干擾后的信號(hào)作為有用信號(hào),實(shí)現(xiàn)信干比的計(jì)算。誤差分析和仿真數(shù)據(jù)表明:采用這種方法計(jì)算信干比可以有效估算出系統(tǒng)信干比,同時(shí)算法復(fù)雜度較低。

正交頻分復(fù)用;迭代算法;差分計(jì)算;子載波干擾;信干比

1 引 言

隨著高速鐵路技術(shù)的快速發(fā)展,以高速鐵路為代表的地面超高速移動(dòng)性O(shè)FDM寬帶無(wú)線通信系統(tǒng)的研究越來(lái)越受到人們的關(guān)注。然而,由于OFDM系統(tǒng)對(duì)定時(shí)和頻率偏差較為敏感,易受多普勒頻移、收發(fā)載波頻偏（CFO）、振蕩器相位噪聲等時(shí)變因素[1]的影響,使子載波間正交性遭到破壞,產(chǎn)生子載波間的干擾（ICI）,導(dǎo)致系統(tǒng)性能明顯下降。在高速移動(dòng)環(huán)境下,多普勒頻移是影響系統(tǒng)性能的關(guān)鍵因素[2-3]。為此,許多學(xué)者提出了一些消除方法,包括迫零法（ZF）[4]、最小均方誤差法（MMSE）[5]、多普勒分集方法[6]等。近年來(lái),低復(fù)雜度的ICI消除算法研究受到了越來(lái)越多的關(guān)注[7-9],尤其是低復(fù)雜度ICI迭代消除算法[10]。文獻(xiàn)[11]在STBC-OFDM系統(tǒng)中提出的迭代算法,初始值確定無(wú)需通過(guò)檢測(cè)器,降低了計(jì)算復(fù)雜度,提高了系統(tǒng)性能和ICI消除速度。但這些算法均采用誤碼率作為指標(biāo),而誤碼率在實(shí)際的ICI消除過(guò)程中是難以計(jì)算的。我們?cè)诜治隽诵鸥杀扰c多普勒頻移的關(guān)系后,認(rèn)為可以采用信干比作為消除程度指標(biāo),而且要求信干比的計(jì)算復(fù)雜度也要低。為此,針對(duì)高速移動(dòng)正交頻分復(fù)用系統(tǒng),本文提出了迭代消除子載波干擾的信干比差分計(jì)算方法。首先根據(jù)OFDM系統(tǒng)ICI產(chǎn)生模型,回顧了傳統(tǒng)的系統(tǒng)信干比計(jì)算方法;在此基礎(chǔ)上,提出了低復(fù)雜度的信干比計(jì)算方法,同時(shí)對(duì)該方法進(jìn)行了誤差分析。仿真結(jié)果表明,本文提出的信干比計(jì)算方法復(fù)雜度較低且能夠有效地估算系統(tǒng)信干比。

2 OFDM系統(tǒng)ICI模型與迭代算法

2.1 OFDM系統(tǒng)ICI模型

圖1 OFDM系統(tǒng)ICI模型Fig.1 ICI model of OFDM system

2.2 迭代算法

3 ICI消除信干比的低復(fù)雜度差分計(jì)算方法

3.1 差分計(jì)算方法

3.2 誤差分析

3.3 信干比差分計(jì)算復(fù)雜度分析

3.4 小頻偏下信干比的簡(jiǎn)化差分算法

4 仿真

4.1 相對(duì)誤差@SIRn的仿真

相對(duì)頻偏分別為0.08和0.008時(shí),相對(duì)誤差 @SIRn的仿真圖如圖2所示。從圖中可以得出:隨著迭代次數(shù)的增加,計(jì)算信干比的相對(duì)誤差越來(lái)越小;信道信噪比越大,計(jì)算信干比的相對(duì)誤差也越來(lái)越小。當(dāng) ε=0.08、信噪比大于10 dB時(shí),或當(dāng) ε=0.008、信噪比大于6 dB時(shí),3次迭代后信干比的相對(duì)誤差就能達(dá)到10-2以下。

圖2 相對(duì)頻偏分別為0.08和0.008時(shí),相對(duì)誤差@SIRn仿真Fig.2 Relative error simu lation of@SIRn when ε=0.08,0.008

4.2 較小頻偏時(shí)簡(jiǎn)化差分算法計(jì)算的相對(duì)誤差@SIRn仿真

圖3為相對(duì)頻偏在0.008下,簡(jiǎn)化差分算法計(jì)算的相對(duì)誤差 @SIRn的仿真圖。比較圖2和圖3知,當(dāng) ε=0.008、信噪比大于6 dB時(shí),3次迭代后信干比的相對(duì)誤差均能達(dá)到10-2以下,并且圖2和圖3的數(shù)值很接近,說(shuō)明較小頻偏時(shí)可以采用差分計(jì)算的簡(jiǎn)化方法。

圖3 相對(duì)頻偏ε=0.008時(shí),@SIRn與信噪比的關(guān)系Fig.3 Relations between@SIRn and SNR when ε=0.008

4.3 噪聲項(xiàng)歸一化功率仿真

圖4為相對(duì)頻偏在0.08和0.15下,迭代次數(shù)與噪聲項(xiàng)歸一化功率的仿真圖。從圖4（a）中我們可以知道,當(dāng)相對(duì)頻偏為0.08的情況下,經(jīng)過(guò)6次迭代以后的噪聲項(xiàng)功率趨于收斂且能達(dá)到信道噪聲功率P{W}的97.9%。因此,當(dāng)系統(tǒng)SNR已知的情況下,通過(guò)迭代次數(shù)和頻偏變化可以近似地計(jì)算出噪聲項(xiàng)功率。同理,從圖4（b）知,當(dāng)相對(duì)頻偏為0.15的情況下,噪聲項(xiàng)的功率8次以后也基本上趨于收斂且能達(dá)到信道噪聲功率P{W}的92.8%。

圖4 相對(duì)頻偏分別為0.08和0.15時(shí),迭代次數(shù)與噪聲項(xiàng)功率的關(guān)系曲線Fig.4 Relations between iterative numbers and noise power when ε=0.08,0.15

5 結(jié) 論

本文提出了一種迭代消除子載波干擾的信干比差分計(jì)算方法。該方法把前后兩次迭代的子載波干擾進(jìn)行差分運(yùn)算,差分運(yùn)算值的加權(quán)作為干擾,每次迭代消除子載波干擾后的信號(hào)作為有用信號(hào),實(shí)現(xiàn)了信干比的計(jì)算。誤差分析和仿真數(shù)據(jù)表明:信噪比大于10 dB時(shí),采用這種方法計(jì)算信干比與理論信干比的相對(duì)誤差小于10-2,其計(jì)算復(fù)雜度僅為O（N3）。但是,信道特點(diǎn)對(duì)誤差的影響在論文中沒(méi)有進(jìn)行詳細(xì)分析,希望在后續(xù)工作中進(jìn)行研究。

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Low-complexity Differential Calculation of SIR for High-Mobility OFDM System

PENG Zhang-you1,2,ZHANG Xing1,2,LIU Yan-yan1,2
（1.School of Communication and Information Engineering,Shanghai University,Shanghai 200072,China;2.Key Laboratory of Specialty Fiber Optics and Optical Access Networks,Shanghai University,Shanghai 200072,China）

A differential calculation method of Signal to Interference Ratio（SIR）based on iterative Inter-carrier Interference（ICI）cancellation is proposed for high-mobility orthogonal frequency division multiplexing（OFDM）system.This method performs differential calculation of ICI before and after iterations,takesweightings of differential calculation and signal of each ICI iterative cancellation separately as interference and signal,respectively so as to realize the calculation of SIR.Error analysis and simulation results show that this method can effectively estimate SIRand has low-complexity.

orthogonal frequency division multiplexing（OFDM）;iterative algorithm;differential calcu lation;inter-carrier interference（ICI）;signal to interference ratio（SIR）

The National Natural Science Foundation of China（No.61071109）;Shanghai Committee of Education Fund for Innovation（11YZ02）

TN911.4

A

10.3969/j.issn.1001-893x.2011.02.007

1001-893X（2011）02-0034-06

2010-12-28;

2011-02-18

國(guó)家自然科學(xué)基金資助項(xiàng)目（61071109）;上海市教委創(chuàng)新基金資助項(xiàng)目（11YZ02）

彭章友（1965-）,男,浙江人,博士,副教授,主要研究方向?yàn)閷拵o(wú)線通信技術(shù)、通信信號(hào)處理;

PENG Zhang-you was born in Zhejiang Province,in 1965.He is now an associate professor with the Ph.D.degree.His research interests include broadband wireless communication and communication information processing.

Email:zypeng@mail.shu.edu.cn

張 興（1986-）,男,安徽人,碩士研究生,主要研究方向?yàn)楦咚侪h(huán)境下低復(fù)雜ICI算法研究;

ZHANG Xing was born in Anhui Province,in 1986.He is now a graduate student.His research direction is low-complexity ICI cancellation algorithm for high-mobility.

Email:jiagnzhang@163.com

劉艷艷（1986-）,女,山東人,碩士研究生,主要研究方向?yàn)楦咚侪h(huán)境下OFDM系統(tǒng)ICI模型研究。

LIU Yan-yan was born in Shangdong Province,in1986.She is now a graduate student.Her research concerns ICI model of OFD M system for high-mobility.

Email:yfy.68@163.com