PDF-IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.48,NO.6,JUNE2002Multiple-Anten

min transmitantennaswhere isthenumberofreceiveantennasand isthelengthofthecoherenceintervalwhereasatlowSNRthemutualinformationismaximizedbyallocatingalltransmitpowertoasingleantennaIndexTerms1. Fig.1.Sensornodesdeployedtomeasureambienttemperature.sensornetworks,thecomputationalpowerandenergyresourcesmaybeverylimited.Theseconstraintsmotivatethedesignofsimpledecentralizedalgorithmsforcomputati D.N.Ku,S.Glagov,J.E.MoorewPAbdominalAortaExperimencularSur,Vol.9,No.2,pp.309-315(1989).(1989).M.Lei,C.KleinstreuerandJ.P.Archie,\Hemo-dynamicSimulationsand,Vol.119,pp.343-348(1997).(1997).D.P.Giddens, repeat ;inthissimplesetuptheTCis (1)where isthexeddistancebetweeneachtransmitterreceiverpairand isthepath-lossexponent.Notethat unitsofexpectednumberofsuccessfultransmissionsperunitRelationshiptoTransportCap Foranyoddprime,similarconditionssuchthat-arybentweregivenin[7],[12],andsomeresultswere 2i=1cix1+2iZ2 etal.:NEWCONSTRUCTIONSOFQUADRATICBENTFUNCTIONSINPOLYNOMIALFORM5761Further,byvirtueofthelinksbetw -regularLDPCcode,forexample,thecomplexityofencodingisessentiallyquadraticintheblocklength.However,we 100000isstillquitepractical.Moreimportantly,wewillshowthat“optimized”codesactuallyadmitli TROPPetal.:DESIGNINGSTRUCTUREDTIGHTFRAMESVIAANALTERNATINGPROJECTIONMETHOD189Notethatthereisamajorconceptualdifferencebetweentheuseofnitemodelsinthenumericalcalculationofinmensionalframesandthedesignof Fig.1.Two-userGaussianinterferencechannel.basicinformationtheorymodeltostudythisquestionisthetwo-userGaussianinterferencechannel,wheretwopoint-to-point Authorized licensed use limited to: Hewlett-Pack X Thisinformationstructureissaidtobe[14],[15]and(asexplainedin[13])appearstobetheonlyinformationstructurethatleadstoatractabledetectionproblem.However,itispossibletofindaminimaxsolutionunderrestrictio -1- Figure 1 -2- Figure 3 Figure 4 Figure 5loss resistance is zero, and that the radiation resistance is the textbook figure of 35 ohms. The feedpointimpedance would then be 15+0+35 = 50 ohms, and th (1)where isaknownmatrixwithunit-normcolumns, asparsecoef IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.48,NO.6,JUNE2002formabasisforscheduling.Thechanneltrackingisdoneviaasinglepilotsignalwhichisrepeatedatthedifferenttransmitantennas,justlikethedata.Ifthemagnitud andanygivenrealnumber afamilyoflinearcodesofrate whichcanbeencodedintimeproportionalto timestheirblocklength .Furthermore,acodewordcanberecoveredwithhighprobabilityfromaportionofitsentriesoflength(1+ Vol.6(2009)1{33ISSN:1549-5787DOI: 10.1214/08-PS141 Asurveyofresultsfordeletionchannelsandrelatedsynchronizationchannels  MichaelMitzenmacher y HarvardUniversity,SchoolofEngineeringandAppliedSciencese