初等概率论附随机过程_钟开莱_中文
初等概率论附随机过程_钟开莱_中文内容提本书系根拐施普林格出版社( Springer-Verlag出版的钟开莱著初等慨率论附随机过程》( Elementary Probabilily Theory with Stoch-astic Processes)1975年第二版译出,鳳书是大学教学教科书,可作为我囯高等学校有关挚业的教学参孝书D2.底等擎校教杂考书初等概率论附隋机过程钟开粟著魏宗舒吕乃刚王万中汪振林举于人兵出新华书店北意发行所发行潜江县印刷厂印装开本?87X10921/32的张12.25字数293,01979年8月第1版1980筇莒月湖北第1次印刷印数1—12,400书号13012·0382定价0.89元第一版序言在过去半个世纪中,概率论从一个较小的孤立的课题发展成为一个与数学许多其它分支相互影响内容宽广而深入的学科,同时,它对各种应用科学,诸如统计学、运筹学、生物学、经济学和心理学的数学化赶着中心作用—这里仅举几个在它们的名种前早已牢固地安上“数理这个前缀词的科学.就率成年的标志反映在该学科教科书内容的改变上,在过去的日子里,这类书的大多数明显分成两种不同的类型,一种是组合的随机游戏,另一种是以正态分布为中心的“误差论”在费勒的经典著作〔见[ Feller11④)于1950年问世后,这一时期就告终止,我第一次讲授的有点份量的穊率论教程就是取材于这部书的原稿.随着时间的推移,概率论及其应用在大学课程中赢得了一个位置,成为许多领域中必修的一门数学学科,现在:这一理论的要点在不同的水上讲授,有时甚至在微积分之前讲授.这本教科书是作为大学二年级水平的门课程而写的,它并不要求对这一学科有任何事先了解,并且头上三章射大部分无需微积分的帮助就可以阅读.接下来的三章则要求懂得如何使用无穷级数及其有关课题的识而对于涉及具有密度的随机变量的讨论,当然要求有某些微积分知识.那些讲解“连续情况”的部分,是很容易与“离散情况”的部分分开的并且可以留到以后去读.头上六章的内容应该成为任何有意义的概率论初级导论的主要部分,在这以后,一个合理的选择包括:7.1普哇松分布,它可插在本课程较前的部分},对3,74,7.6(正方括号内的名字清查阅书术的一般参考文献威席·费勸 Willam Fell〔1906~1970)a11((/868态分布和大数定律)作某种不太深入的阅读,和§8.1(简单随机动,这既有启发性又很有用),所有这些,在二分制学校(→学年分灯两个学期)可以一学期内完成,但对四分制学校(一学年分为四个学期〕要一学期完成的话,就必须作一些削减.明确地说,对这样个短课,第一和第三章可以粗读一下并把打星号的材料路去.无论哪种情况;例如在一个二分之一学年的课程或两个四分之一学年的课程中,只要时间允许,就务必对第七章的正态近似定理作扎实的讲解.最后的第八章,给出马尔可夫链一个完整而初等的描述并且是课程主要郣分在较成熟的水平上的一个推广正态近似定理,连同打星号的§5.3,5.4(序贯抽样和卜耶坛子模型),以及§7.2(普哇松过程),或者再包括附录中的某些补充,这些材料提供了由浅入深、稳步地进人随机过程领城的途径,把这些课题包括在内,本书适合于一→门两个四分之一学年的课程,这也就是我多次对数学科学和学工程的學生讲授的内容,但是,经过头上六章的训练后,读者可以进入如上面提到的费勒专著中一些更深的专题,如果读者具有足够的数学基础,他也有资格选读门严谨的课程,其内容有如我那本较深书 Chung1]中所提供的为了适合课堂之用,如何选择、组织和讲解材料,我确是动了些脑筋,但我却没有试图提供一个装璜精美、适合精确的时间表或程序表的内容,就象大众对快速服务框台要求提供的商品那样因为教师对他的班级恰好需要什么,能作出最好的决定,所以应留給他一定程度的伸缩性和选择性,为了说明主旨和解释清楚,每章开头总包含一些容易阅读的部分,因此教师可以集中注意课文中较严格的方面。每章还包含一些略具挑戕性的课题(例如§.425)以供选择,它们并不是为了刁难初学者,而是想引导他们作进一步的研究,本书始终着重于初等概率论中基本概念和方法透◆2彻和细致的讨论,而修饰或复杂的技巧极少,由于预见到初学者的困难,特地选择许多例题以引起更好的思考这常常是用提和回答一些诱导性的问题来实现的.加入一些历史的、哲学的和个人的注释,可以给这一生动学科增添一总趣味,我希望读者不但从这本书中学到一些东西,还在阅读过程中享受到一定的乐趣头上六章有二百多个习题,最后两章有八十多个习题.许多是容易的,较难的都打上星号,书末附有全部答案.带星号的背和段处理较专门或较细致的内容,可以跳过它们但浏览一下还是值得的任何初等教科书的作者总得感谢无数前人.我个人特别应该致谢的如下: Michel nadzela写出了我1970年在斯坦福大学的饼课笔记, Gian-Carlo Rota见了这份笔记后,推动我把它改写为一本书.DG. Kendall对某几初稿提了意见并进一步给予道义上的支持,JL,Dob自愿阅读大部分手稿并提供许多有益的建议.K.B. Erickson在他所教的课程中用了一部分材料,AA. Halkema审阅了最后一稿并作了许多改进, Dan Rudolph和我一赶看了校样, Perfecto Mary画了讨人喜欢的所有插图Gail Lemmoud用她一贯的高效率和可信任的态度担负打字工作.最后,我非常高兴地感谢我的老出版商 Springer- Verlag米纳我的新书,以开始一套新的大学教程丛书钟开莱1974年3月第二版序言为『改正第一版中的镨误,做了坚决的努力.帮助我完成这工作的有以下各位: Chao Hung-po,J.L.Doob,R.M. Exner,W. H Fleming, A M. Gleason, Karen Kafador, s.H. Polit FhP. van moerbeke. Kafador女士和Poit博土提出了一份特别仔细的建议清单.最使人生气的错误,出现在习题的解答中.我检查了第一至第五章,Chao先生检套了第六至第八章的所这些错误.我强烈地希鲲继线残留在这一范围的镨误不大可能有了.还作了一些小的改进和增加,但在这一点上并不是所有的劝告都可以遵行的.恳切希望使用这本书的人提出批评和意见,以便将来再版中研究采用.我还要感谢 Springer-Verlag的工作人员,他们使这乍书出版后这样快就出了修订版钟开莱目录序■■■↓■■■督■ψ山晉血·■■中■■■血■■■昏4山■■■h■■凸唱昏卿甲噜中自自h唱■■自■第一章集合■自ψ自■■鲁自↓自自鲁■q■_Pψ自卓自卩自自■●■·p■P自卓·■P甲音■号P甲■自白白·音口··血§1.1.祥木集合山中4白■■号司平p■P甲P鲁4p省甲甲■p■甲Pm甲p中甲d◆k中■m§1.2.集合运算§.3.各种关系"甲··d甲m旷音中学中d司甲甲面qmhψb甲ψd面■■日音h暑■"「·■81.4.桁示子h晶甲曾T日甲q甲"甲-甲如■■·P■俨md山h·t血↓包■【■冒习题h日甲日h血■·■幽■b■白■日■■甲■■平曾■「省·甲-l8第二章概率………………………………2§2.1.概率的例了20§2.2.定义和例子了…24§2.3.公理的推论……………………………………………………32豸2.4.独立事供甲噌普P血即白幽备§2.5.算木密度…………………………*44题…5第三计数*…““4933.1.基本法则…493.2,各种取祥方式…………………………………………·5333.分配模型,二项系数…■■■1■甲【■口甲■甲!蚤■■59F3.4,怎样求解………68习题了8第四章随机变量……………………………"“82§4.1.什么是一个随机变量?……■口鲁■甲■■■■82842.随机变量是怎样产生的?……………………"864,3.分布和望………………93§4.4,取整数值的随机变量白■dd4■昏44……………100ε4,5,具存密度的随机变量………4.6.一般情况………参甲"117■鲁■■■b鲁■■■■昏■■■面■鲁4山■【■■■■■…MM…4M]22附录1波雷尔城和一般的随机变虽…■會甲■噜■■鲁?■鲁■血鲁個由[幽噜血_鲁個會■■26第五章条件性和独立性…………………………………………129条件性的例子……………………………………………129§5.2,基木公式血甲嚯噜中■■會會■■血·13585.3.*序贯抽样∵§5.4.*卜里耶的坛子模型………………………………-………15且§5.5.独立性和关联性…………Tψ口山■d聊ψψ司聊■b■■聊血■hbd■4■■面■;聊p159§5.6.*遗传模型……………………………………………171习題………………177第六章平均值,方差和变换…18386.3,期塑的基本性质………………………………r-………………183§6.2,密度的情况『■『■中↓冒4唯中1咽早tT昏中-188§63.乘法定理方差和协方差………193§6.4,多項分布………*…………“…………………………"201落6.5,母函数和其他…………………*…208习题217第七章普咤松分布和正态分布■··『·■·白·ψ司●自■t■·山山2247.1,普哇松分布的模型r…"*…2487z.普哇松过程…………………………………………………23373,由二项分布到正态分布早卜卜吾早4b■444·■!4■■·■已587,4,正态分布會■…………………25375.中心极限定理會■中口血一………-………257§7.6.大数定律…"……"…………264习题………………"…………………272爾录2斯梯林公式和德莫哇佛→拉普拉斯定理276第八章从随机游动到马尔可夫链·279§8、1、流浪者或赌徒朐问题……………………………*……27998,2,板限模型……………………………………………………………286§8.3,转移概率■q『d■跏■卜县啬■警白■■卜■■b冒甲■bP4d■普■中■冒即即……293§8.4,马尔可夫链的基本结构……………………………303§8.5.进一步的发展■凸■Pψ‘■■自■■曾血■血■鲁P■■■日■啁·■4自■日自即■血4自L■血§8.6.意定状态…§8.7,绡束还继续搞下去?4·336习题……………………………*………………………………347附录3鞅甲■dqL■■■■■血■▲dP甲hψ自甲甲■看………36一般参考文献"…."!358只题答案……………359索引…376
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wifi 802.11n 协议标准
wifi 802.11n 协议标准Contents2. Normative references ........................................................................................................................... 13. Definitions ...........................................................................................................EEE Std802.11n"-2009(Amendment to ieEE Std 802.11-2007as amended by ieee std 802. 11k-2008EEE Std80211r-2008, EE Std802.11y-2008,and IEEE Std 802. 11w-2009)EEE Standard forInformation technology-Telecommunications and informationexchange between systems-Local and metropolitan area networks-Specific requirementsPart 11: Wireless LAN Medium Access Control (MAC)and Physical Layer(PHY SpecificationsAmendment 5: Enhancements for HigherThroughputSponsorLANIMAN Standards committeeof theIEEE Computer SocietyApproved 11 September 2009IEEE-SA Standards boardAbstract: This amendment defines modifications to both the IEEE 802 1 1 physical layer(PHY)andthe IEEE 802 11 medium access control (MAC) sublayer so that modes of operation can be enabledthat are capable of much higher throughputs, with a maximum throughput of at least 100 Mb/s, asmeasured at the Mac data service access point (SAP)Keywords: high throughput, MAC, medium access control, MIMO, MIMO-OFDM, multiple inputmultiple output, PHY, physical layer, radio, wireless local area network, WLANThe Institute of Electrical and Electronics Engineers, Inc.3 Park Avenue New york NY 10016-5997 USACopyright@ 2009 by the Institute of Electrical and Electronics Engineers, IncAll rights reserved. Published 30 October 2009. Printed in the United States of AmericaIEEE is a registered trademark in the U.S. Patent Trademark Office, owned by the Institute of Electrical and ElectronicsEngineers, IncorporatedPDFSBN978-0-7381-60467STD95961Print:|SBN9780-7381-6047-4STDPD95961No part of this publication may be reproduced in any form, in an electronic retrieval system or otherwise, without the priorwritten permission of the publisherIEEE Standards documents are developed within the ieee Societies and the standards Coordinating Committees ofthe IEee Standards Association (IEEE-SA) Standards Board. The ieee develops its standards through a consensusdevelopment process, approved by the American National Standards Institute, which brings together volunteersrepresenting varied viewpoints and interests to achieve the final product. Volunteers are not necessarily members of theInstitute and serve without compensation. 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At lectures, symposia, seminars, or educational courses, anindividual presenting information on IEEE standards shall make it clear that his or her views should be considered thepersonal views of that individual rather than the formal position, explanation, or interpretation of the IeEeComments for revision of IEEE Standards are welcome from any interested party, regardless of membership affiliationwith IEEE. Suggestions for changes in documents should be in the form of a proposed change of text, together withappropriate supporting comments. Recommendations to change the status of a stabilized standard should include atonale as to why a revision or withdrawal is required. Comments on standards and requests for interpretations shouldbe submitted to the following addressSecretary, IEEE-SA Standards board445 Hoes lanePiscataway, NJ 08854USAAuthorization to photocopy portions of any individual standard for internal or personal use is granted by The Instituteof Electrical and Electronics Engineers, Inc, provided that the appropriate fee is paid to Copyright Clearance CenterTo arrange for payment of licensing fee, please contact Copyright Clearance Center, Customer Service, 222 RosewoodDrive, Danvers, MA 01923 USA; +1978750 8400 PerImission lo photocopy portions of any individual standard foreducational classroom use can also be obtained through the Copyright Clearance CenterIntroductionThis introduction is not part of IEee Std 802. 11n-2009, IEEE Standard for Information technology-Telecommunications and information exchange between systems--Local and metropolitan networks--Specifirequirements-Part 11: Wireless LAN Medium Access Control(MAC) and Physical Layer(PHY) SpecificationsAmendment 5: Enhancements for Higher ThroughputThis amendment specifies enhancements to IEEE 802. 11 physical layer(PHY)and medium access control(MAC) sublayer to provide modes of operation with useful data rates substantially higher than thosepreviously available. Significantly higher IEEE 802. 11 wireless local area network(WLAN) throughput isexpected to improve user experiences for current applications and to enable new applications and marketsegmentsNotice to usersLaws and requlationsUsers of these documents should consult all applicable laws and regulations. Compliance with theprovisions of this standard does not imply compliance to any applicable regulatory requirementsImplementers of the standard are responsible for observing or referring to the applicable regulatoryrequirements. iEEE does not, by the publication of its standards, intend to urge action that is not incompliance with applicable laws, and these documents may not be construed as doing so on that is not inCopyrightsThis document is copyrighted by the Ieee. It is made available for a wide variety of both public and privateuses.These include both use, by reference, in laws and regulations, and use in private self-regulationstandardization, and the promotion of engineering practices and methods. By making this documentavailable for use and adoption by public authorities and private users, the ieee does not waive any rights incopyright to this documentUpdating of IEEE documentsUsers of ieFF standards should be aware that these documents may be superseded at any time by theissuance of new editions or may be amended from time to time through the issuance of amendments,corrigenda, or errata. An official ieee document at any point in time consists of the current edition of thedocument together with any amendments corrigenda or errata then in effect In order to determine whethera given document is the current edition and whether it has been amended through the issuance ofamendmentscorrigendaorcrrata,visittheIeeEStandardsAssociationwebsiteathttp://ieeexplore. ieee. org/xpl/standards. jsp or contact the iEee at the address listed previously.For more information about the IEEE Standards Association or the Ieee standards development process,visittheIeeE-sawebsiteathttp://standards.ieeeorgErrataErrata,ifanyforthisandallotherstandardscanbeaccessedatthefollowingUrl:http://standards. ieee. org/reading/ieee/updates/errata/index. html. Users are encouraged to check this URL forta periodicallyInterpretationsCurrentinterpretationscanbeaccessedatthefollowingUrl:http://standards.ieeeorg/reading/ieee/interp/index htmlCopyright C 2009 IEEE. All rights reservedPatentsAttention is called to the possibility that implementation of this amendment may require use of subjectmatter covered by patent rights. By publication of this standard, no position is taken with respect to theexistence or validity of any patent rights in connection therewith. a patent holder or patent applicant hasfiled a statement of assurance that it will grant licenses under these rights without compensation or underreasonable rates, with reasonable terms and conditions that are demonstrably free of any unfairdiscrimination to applicants desiring to obtain such licenses. Other Essential Patent Claims may exist forwhich a statement of assurance has not been received. The Ieee is not responsible for identifying EssentialPatent Claims for which a license may be required, for conducting inquiries into the legal validity or scopeof Patents Claims, or determining whether any licensing terms or conditions are reasonable or nondiscriminatory. Users of this standard are expressly advised that determination of the validity of any patentrights, and the risk of infringement of such rights, is entirely their own responsibility. Further informationmay be obtained from the ieee Standards associationParticipantsWhen this amendment was sent to sponsor ballot, the IEEe 802. 11 Working Group had the followingofficersBruce P. Kraemer, ChairJon Walter Rosdahl, Vice Chair; Treasurer; and Chair, Task Group mbAdrian P. Stephens Vice chairStephen McCann, Secretary and Chair, Publicity standing Committee and Task group uTerry L. Cole, Technical Editor and Assigned Number AuthorityTeik-Kheong Tan, Chair, Wireless Next Generation Standing CommitteeDavid Bagby, Chair, Architecture Standing CommitteeBruce p. kraemer Co-Chair IMT-Advanced ad hoc commiteeLee armstrong, Chair, Task Group pDonald E Eastlake Ill, Chair;, Task Group sNeeraj Sharna, Chair, Task group lDorothy V. Stanley, Chair, Task Group v and IETF Ad hoc CommitteeJesse Walker, Chair. cTl Ad hoc committeePeter Ecclesine, Chair, Task group yMenzo Wentink, Chair, Task group zGancsh Venkatesan, Chair, Task Group aaEldad Perahia, Chair, Very High Throughput Study groupDarwin Enger, Co-Chair. IMT-Advanced ad hoc committeeWhen this amendment was sent to sponsor ballot, Task Group n had the following officersBruce P Kraemer. chairSILi. vice chairGarth Hillman and Jon Walter Rosdahl, SecretaryAdrian P. Stephens, Technical editorWhen this amendment was sent to sponsor ballot, the IEeE 802. 1l Working Group had the followingmembershiOsama S. aboulmagdMalik audchAmit bansalTomoko adachiCcrt A, awatoJohn. barrAlok aggarwalDavid bagbGal bassonCarlAldanaMichael bahrussa BavafaThomas AlexanderFan baiTuncer BaykasLee r. ArmstrongGabor BaikoJohn L. BenkoAlex ashleyDennis j. bakerMathilde benvenisteCopyright C 2009 IEEE. All rights reservedBiorn A. berkeRobert Y huangChiu ngoDaniel borgesDavid hunterEero nikulaAnthony braskichYasuhiko inoueRichardH. noensJoseph brennanAkio isoHideaki odagiriDavid britzJunghoon JeeJisung OhG. BumillerHongseok JeonChandra s. olsonNancy Cam-WingetYeonkwon JeongYouko omorNecati CanpolatJorjeta G JetchevaSatoshi oyamaJavier cardonaLusheng jiRichard H. PaineDouglas s ChanDaniel JiangAuld. palaniveluClint F. ChaplinPadam AflChangmin ParkCarl W. KainJungsoo parkMinho CheongNaveen K KakanMinyoung ParkMasato katoⅤ ijaykumar PatelNakjungDouglas KanBcminih. peirisLiwen chuRichard H. KennedyEldad perahiaTerry L. ColeJohn KenneJames e. petranovichRyon K. ColemanStuart 3. KerryAl PetrickCharles IJoonsuk kinFahd pirzadaTodor CooklevKyeongpyo KimJames d. portaroXavier p CostaSeong S. kimHenry s. PtasinskiDavid E CypherYongsan KimRene purnadiMarc de courvilleJarkko kneckChang w. PyoRolf J de vegtMark m. kobayashiEmily H QiTheodorus denteneerFumihide KojimaLuke QianJeremy de vriesTom KolzeHuyu QuSusan DickeyBruccp KJim e raabZhiming DingJohannes P KruysⅤ nuth raiYoshiharu doThomas KuehnelAli RaissiniaJohn dorseyThomas m. KuriharaHarish ramamurthyRoger P durandStephen G raymentSrinivasa duvvuriEdwin kwonLeonid razoumovDonald e. eastlakeZhou lanIvan reePeter Ecclesiaejeremy A landtEdward reussMichael ellisJoseph P. lauerAlex reznikStephen P. EmeottTae H. LeeRandal roebuckMarc emmelmannWooyoung leeJon walter rosdahlDarwin EngwerJoseph levyRichard royJoseph epsteinSheung liAlexander safonovⅤ inko ercegPaul linKazuyuki sakodaLars p. falkIlang liuHemanth sampathRobert fanfcllMichael livshitzKatsuyoshi SatoStefan fechterPeter LocHirokazu sawadaPaul h. feinberDaniel lubarDon schultzMatthew FischerAnthony f. maidaYongho SeokWayne k. FisherJakub majkowskiHuairong shaoRoberta fracchiAlastair MalarkyNeeraj sharmaRyuhei FundaJouni K. malinenStephen J ShellhammerMatthew gastAlexander maltsevlan SherlockJames p gilbBill marshallKai shiJeffrey gilbertRoman m. maslennikovShusaku shimadaReinhard GlogerSudheer mattaFrancois simonDavid goodallStephen Mc cannHarkirat SinghTugrul guenerJustin p mcnewGraham K. SmithJianlin gven meseckeMatt smithMark hamiltonRobert r. millerYoo-Seung SongC.J. HanseMichael monteKapil seBrian d. hartRajendra T. moortiVinay SridharaAmer A haHitoshi moriokaDorothy stanleⅤ egard hasselPeter MurrayAdrian P. StephensRobert f heileAndrew milesDavid S Stephenson〔 undo r. HertzRohit nabarCarl R. StevensonJunling hiJohn stineWendong huKengo nagataGuenaelt strutCopyright C 2009 IEEE. All rights reservedChin s SumGanesh VenkateHarry R. worstellEiji TakagiDalton t.Ⅴ ictorPengfei xiaMineo takaiGeorge A. vlantisAkira yamadaTcik-Khcong TanCssc r. walkerTakeshi yamamotoAllan thomsonunlWangmoya yamauraJerry thrasherngEric okuboCraig d. WarrenSu K. YongAlexander TolpinFujio WatanabeSeiji YoshioJason trachewskyPatrick WayeChristopher YoungSolomon b. traininMenzo m. wentinkArtur zaksRichard D. Van NeeFrank whettenHongyuan zhangAllert van zelstKyle williamsHuimin zhangMathieuⅤ arlet-AndmJames worshamJing zhiPrabodh varshneyJuan ZunigaContributions to this amendment was received from the following individualsBill ablⅵ inko ErcegPatrick labbeSantosh abrahamMustafa rozJoseph lauerTomoko adachiStefan fechterDongjun leeDmitry akhmetovPaul feinbergLin-Nan leeCarlos aldanaMatthew fischereeDave andrusGuido frederiksSok-kyu LeeMicha anholtTakashi FukagawaZhongding leiTsuguhide AokiPatrick FungJoseph levyYusuke asarEdoardo gallizioScott leyonhjelGeert awaterJames gardnerPen liDavid BaDevis gattSheung LiRaja banerjeaDavid HedbergYuan liKaberi banerieeGarth hillmanKevin liaoAmit bansalJin-Meng hoIsaac limGal bassonDale hocevarAlfred linAnui batraLouise hooAlbert liuJohn benkoMuhammad akramDer-Zheng liuMathilde benvenisteYasuhiko inoueMichael livshitzBjorn BjerkeKaz ishidaYufei BlakenshipTakashi ishidoshiroPeter LojkoDaniel borgesLakshmi lyerHui-Ling LouDouglas chanEric JacobsonAdina matacheJerry ChangYuh-Ren jauhLaurent mazetJohn ChangTaehyun JeonWilliam mcfarlandJeng-Hong ChenJari JokelaDarren mcnamaraStephen ChenVKJonesIrina medvedevYi-Ming ChenPadam AflArnaud meylanPei-ju ChiangNaveen KakaniMorgan mikFrancois chinSriniavs kandalaSeungwook minWoon Hau ChinAteet KapurPatrick mo上 mily chouAssaf KasherAndy molischLiwen chuMasato katoR. Tushar moortiKeith ChuggJohn KetchumMike moretonBrian ClassonJoonsuk KYuichi moriokaSean CoffeyPansop KimMarkus muckGabriella convertinoYoungsoo KimSyed Aon mujtabaMarc de courvilleGuenter KleindlAndrew mylesRolf de vegtKiyotaka KobayashiRohit nabarFranz dielacherCenk Koselhasa NagaiYoshiharu doiBruce p KraemerKengo NagataJohn deThomas KuehnelSeigo NakaodouglasTakushi KunihiroSanjiv nandaPeter ecclesiaeJoe KwakChiu nDarwin EngwerJoseph kwakAjit NimbalkerLeonid epsteinEdwin kwonGunnar NitscheCopyright C 2009 IEEE. All rights reservedHuaning NiuErik SchylanderRichard van neeIvan oakesMichael sealsNico van waesYoshihiro ohtanilual-Rong ShaoAllert van zelstEric OjardSuman sharmaAndres vila casadoTakeshi onizawaSteve shellhammerGeorgeⅵ lantisJob oostveenIan SherlockTimothy WakeleyFabio osnatoMasaaki shidaJesse walkerKafle padamTakashi shonoBrad wallacePratima paiSebastien SimoensMark wallaceArul palaniveluMassimiliano sitiRod waltonSubra parameswaraDoug SmithQi WThomas pareMatt smithXiaowen WangJean-Noel PatillonAmjadDeric WatersWei-Chung PengRobert staceyMark WebsterEldad perahiaAdrian P. StephensMenzo WentinkJim petranovichRichard WeseKrishna madhavan pillaiVictor StolpmanMike WilhoyteMadhavan pillaiSumei sunTimothy WongAngelo PoloniXiantao sunJames WoodyattNeeraj poojaryShravan surineniHenry ptasinskiIlan sutskoverAriton XhafaAleksandar PurkovicEiji Takagio xiaLuke oianMasahiro takasTomoya YamauraAli RaissiniaSeiichiro TakahashiEric YangSthanunathan ramakrishnanDaisuke takedaWen-Chang YehHarish RamamurthyTeik-Kheong TanChristopher YoungSridhar rameshYasuhiro TanakaHeejung YuRaffaele rivaStephan ten brinkArtur ZaksJon walter rosdahlGanesan ThiagarajanEldad zeiraStephanie Rouquette-LeveilEric OkuboHongyuan zhaMike rudeTim TowellJin ZhangJohn sadowskiJason trachewskyNing ZhangAtul salhotraSolomon traininQuan ZhouVincenzo scarpaDavid tungJohnny ZweigDonald schultzStefano valleJim syrenThe following members of the individual balloting committee voted on this amendment. Balloters may havevoted for approval, disapproval, or abstentionOsama aboulmagdBill cannonSouray duttaTomoko adachiJing CaoRichard eckardAlok AggarwalEdward CarlesCarl EklundThomas alexandeJames CarloStephen emeottRichard AlvinJuan CarreonMarc emmelmannEdward ChalfDarwin EngwcButch AntonDouglas s ChanJoseph epsteinDanilo antonelliKuor-Hsin ChangRobert fanfelleClint ChaplinShahin FarahaniDavid BagbyWei-Peng ChenShulan FengGabor BaikoYung-Mu ChenOddgeir FikstvedtMatthew ballHong ChengMatthew fischerRaja banerjeaAik ChindapoPrince francisVered BKeith ChowAvraham FreedmanJohn barrLiwen ChuDevon gaylePhilip beecherRyon ColemanMichael GeipelMathilde benvenisteCharles cookTheodore Georgantasharry bimsTodor CookiePieter -Paul giesbertsBjorn BjerkeHelge CowardJames gilbMonique brownJoseph decuirReinhard glogerRussell dietzMariana goldhamerWilliam byrdThomas dineenScrgiu gomaPctcr. calderonJohn dorseyDavid goodallCopyright C 2009 IEEE. All rights reserved
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