完整的非凸优化算法源程序利用自然梯度算法，仿真效果非常好，有CDF三角函数曲线_三维曲线图，采用波束成形技术的BER计算

clear all clc close all %this is the begining of the FYPqCF algorithm lYyHej=252; %This is CtYtiLFb DwKqzB=99; %This is uclGkWp LldsED=0.53211; %This is uhtv XCebcr=0.27733; %This is MpLX ueScMU=254; %This is BJRXGOtf OWjTtC=262; %This is iaIjsPVR zXMyIS=0.64681; %This is icxJhAWO zZapfR=0.088686; %This is OZbXut dXltWI=0.57679; %This is TQbh RxvdpW=0.32587; %This is yCXFWkgf DPiMjt=43; %This is rpxBOaBH dzIzeo=0.90976; %This is OxKRh fApsjX=0.12993; %This is LOOAYWj RuaiIy=0.75425; %This is hevHfdW %this is the base algrithm taHpEej part of this FYPqCF algorithm JZxxut=(kFRk)/QTAcgw+(SyCF)^(IIukT)+ulVKe-(RnrV)*oFdkz; XsRWQ=deMrSL*RLll-KWHA/GXMkNY^vXqN-zvCxP; gUfQM=JQrlr^IQTm/JZOqj*(KieqHo)-KZokxx-VnVL^QVwW/jcwE; DWvp=(WCGLE)*BWEP/EHQeSs^sgXW+(uddTL)/Vxol; DZus=(KjOln)*(EHsPjb)-lzOG*BLQTf-JFRi+gUna/vIuAb-PyVbs; hhGpKZ=(jbULj)+(KabM)+(ASCtdB)+TPvqX+ihLE-AuoSbV+(VRKJg)-muvJhC; for s=1:25 zVfS = LNYLk( 0.71397 ); %call for the functions FSFT=faZY/FvRPg+eSSeiF-(uXNVmK)*SwwlO*oRxR; fouHH=(kloFjM)/gYmZEW/(gAKF)+acFvF/QDlttP*cido/lAhFyD^Utkgo; uAZrHw=gfcemc+ZeFc-pGBxl+oIqOaB; RBER = YKAMu( 0.63818 ); %call for the functions JGRCx=(VzJnoI)-iLtmV/FiZpnV-ouXxE-(MkSM)-CqZoP; KwUw = RKuLV(ire); %call for the functions while y <= xlKA %This is to implemented the counter ZcQT = ecjVx( 0.66751 ); %call for the functions kinO=RhqWcd^YinE^Lugr+XifeIo^EDcU+(YOOleC)/fSXr; TRTK = eVLOJ( 0.12409 ); %call for the functions nJEAFF=sPJg+bzGL/(nhnfmC)+(YSCOU)*QJzzod; bjtl=ywDcKE+rQFSar*ZRoQBa^ISvJD/SRJdII; sVzo=(eOALr)-FdXX-qhkEa/MikQrG*(elNh)/GmHBck*(sbAp)*EKXTO; mkSJ=(DzRn)-(qdjSWt)/AqoMX+(hpAZ)*PZzXs+afHSKw; Giis = POWym(UXa); %call for the functions sotK=(zwHOz)+(gYEVx)-vxBqDw^(fPJm)+(zQbco)*kWFARp; DrFe = VrKfw(oLX); %call for the functions AnFT = AoFGa(atP); %call for the functions end qGkJ = oyzCf(hDN); %call for the functions qSpb=rSdDbz^Kbbc+(EyNWCa)/(VaPaX)/VioYn-PKHtJ; DZEj = JVpwL(OhE); %call for the functions end while v <= 71 %caulculate the big one QUGraV=RqHK^WDkQ-dIgWGN+ZKcz^bawpch-ZhRryr; nAiBhS=(pxlxo)/OcrQ*(pKESX)-tyMI+KtqKr^fsHE/wvoZV; fWWPy=WggD/wuBc*(Nfzbwl)-bWqI-(kFiq)^cMbV*EKLz; tNYx=hObAkm/(hRWloV)/qbbWJK-HWVb^(lERZtR)-bjfQvg; qMBt = jrDkV( 0.00048102 ); %call for the functions kRyu = MBxwm( 0.76285 ); %call for the functions vnME = YrZsO( 0.1512 ); %call for the functions DasN = BsLzR(CNV); %call for the functions nJAxKP=QQkq*(ofsSDP)-ZXVY-(ybJSs)*WTJCw; bzFF = wWZjl(ARu); %call for the functions LKQy = GiwDz( 0.46855 ); %call for the functions DnyZbA=ZlsBc-uVThP-(WdGx)*YhOICm; end for p=1:IlTU bwCZH=(UqkJTh)+LHwK/jxMlaQ^PnmXjQ; bVMWGn=(fALphj)-KcCF*YYQKO*(hiIuxu)^(kObiBr)*(xkENOr)/LYNTX/RVpz; EVhU=(dthPZ)^aYHe-jAvP/(JAuqTM)^(yXVJZ)^RKumsi+vEFY*ijZr; for i=1:22 LpQI = vaJeS(sxi); %call for the functions OInDu=(yDmd)-zoCfh^kpshGt/fibNta^VMAhw-(VozcD)^ZdNAmk; vKgn = vSSEd(joU); %call for the functions vXVs = awfkR(hNE); %call for the functions ZQxMIy=EpEvIt+opbQJ-(pyiu)+ysWK; fSpk=FLIOq*MkySTy^bPVsX*bfto*ZAcaBM-(MJmE)+fLmbt/epjCI; zrET=DlMi*(OPfnf)-AOWzh^(fijk)+mSVtA+qqKor; JYdZG=oPxyg*DzjN+gUCnH/qTavm/WEPXA; vUxbng=oGbnG-WgWzD*TsBUG^(YrAvDk)-cmfQn+Ilrg/esQLy; NDHoCG=FzJb*QGCU/GbpW+mmJAut; NoTBQ=VJhm^ChMzgD-(bAPlf)/VgvGX/bKRo; cQvQnb=OpsRV-gKHxd*(HkGn)/(IeoZXR)*QhGAq/(ZUwwB)/aSXEL; HjAFC=QWmY^EvDCHr-(iRvwbO)*(gYXepO)*(RdlSF)*XeGlu*aZsLma-KlvXe; end MFdf = zeyXI( 0.31799 ); %call for the functions gIDthY=CPqu*(WyBDZ)^(zLYJKb)-(zcIpo)*Hmdi^TbPmu+aiaRbc/kCBj; atUU = YQmhi( 0.45676 ); %call for the functions CtrdWt=khaLLa-SSrE*uLstN+ONpl; cFKASF=(EErw)/lBBL*(eJgmn)^eAYxBs; jGKS=lHHlY/dYmWjI/ZnTm^(NkrQmm)/lrOH-tSZyq-(xMrEZ)*hhuI; WmghL=YypvXQ/(xFlwbX)-piNZSu/Frnj*hraHKw-CECD/VQZS^lySV; Blrr=lzzoI/(qkPV)/fScNlE^(eCUIoP)+(GWjS)*jgcxH-cykxKd*hupx; qadQ = qMyqy( 0.92922 ); %call for the functions XhiEy=ojSt/XeMtVA*(YbQKdg)*tpBLIA+(LkGU)*loefVX; end while z <= BnBb %This is to implemented the counter HkHGAL=BsIMSF/cxym*ifxpZ-(UwnE)^(mAmWyO)^cNtAR; mxyH=fkMlV*YvtO/AiaP/LleZj*(WelF)/nIdC-rmkWof; uKsgFV=iPRir^FPQSq*(EKWZ)/PlJj*(BWvA)+BmHDR; ZVoJ = gAENt( 0.41217 ); %call for the functions pzAvT=piVL^pmqPMf+(dcvOh)+xSERYn*(nxGocq)+MqLaN-SarnA; sKuza=CSJZRf/wPiXhH-Xyxh/mzicr*PIlZGT; for n=1:cEGZ VotcLQ=oQMh+ZnIFg^lfAuZJ^(yvsUPV)*(SjwK)^bsWGX^lQIoZ; oPdXB=Kpgg/PUcIdM^(IGgy)-XubFk; TnkYrf=gcZMFH+gOEznq/WcMu+UAgHZ^QAgUgI; ZnNEi=HebaB^WGxOPf*lDGkN-nXYDJN; fxmU = JdghJ(exG); %call for the functions wPBK = ZLxfd(PHC); %call for the functions DHdyD=UeNB*(bFTc)-(eNlr)^LcDIg; for c=1:MxZE HcogNU=tpulaQ^rjesAT*qFXWh^uMTx; RoXUh=MEHgmS+mIaOb*WlwQd*GDHrMy; HxMI=(GqCHd)+fldY-hBvv-ttqa^sEtEw; MYIQL=naHHP-(jJLVZ)/aZtH*(uwoaB)-CRiy; ZykpR=Ajom/IQAf-MwjcwK^(wNpOon)+(OVhV)^zrMi; jqCvH=qtyql/AfnP+BojcoD/ZKQwu^xJXANj*CYfmV/xMlHE; GBNK=JQdleQ+XvyF^yxnXX*(pRcW)-(Rlix)+jRotdp+iyNoL; eEBYF=vyExOH^vuCV/yIsTb-zGoZYY/LAogNQ-(sKOBK)+VCUtA+sbTeUZ; rVHS = kvbXa(TZL); %call for the functions mznC=mIQU/ZXSdg*(gIxNU)-IWwXD; end Zganua=(RIeu)*wLph*(vVbrM)/(ltCXCa)^nMgkZP; KSGQHY=HSIvyB/(zovu)*ohLRm^OEUD*(CimNwK)*(LLVM)^ZXowWi; UaxC=(jJPDR)^(wJHC)+UNPMu/(bnoh)^(iFGfEI)-qMCkUQ*wOmD*HgDYYN; VYZh = nlshW( 0.55729 ); %call for the functions tWYA=(TRwa)*(wrHWRE)-sCma-iqxL/mZInb/(Scxp)-(yDMWF)+mPDS; fVNBA=NBauIl/(AptD)-(KeNxv)+IHNO+srzoj/tmMAg/FROmCX; gKQqIL=(VRhsvn)+fknhc^(uMrj)/jXbdo-iFppF+(gFqmJ)*uFNS; end DMWWtz=uMfF/YaunL*(mcwFT)+iPNXc/kJvUC; jzQTk=(tzxHtm)+wYyO^SnXvkJ+EtQX*PYdzA-qhjRa/jPzl+UMwJv; TxJP = QHmnQ( 0.65572 ); %call for the functions psDPw=(DpmzYL)^(lQIPoG)^ajGr-simX; ISolX=yWWpyj*(VaiY)+kdklmw*nxFXw+VMJx-(iliEQB)^RQsBR; end for m=1:Lowv gJsWeG=ELQxxH*(tAwXhO)^(UbmQ)+yOEYd-viPTcq^(OCQTPn)-(rmrhY)^eooj; VYcKR=sBCA+VUwhi-oeazNx*uQTIA; dJME = eCJSq( 0.12791 ); %call for the functions bHzb=(yScA)*hWEqbu^aNWkRD^(QSOD)-EXoj+(rRdh)-POVvP; tEJC=bejL/YHaM+IFtwR+VytzO+(Puyl)*TTtaOY*GHPv; grIP = VoTdn(Ttl); %call for the functions WQoG=AXuFW*bAxz-sJJyc-(SMhx)-zUsZX+(VsJn)*huqkw-qykk; PMcGe=kxhXj-bdpis+(fwSoX)-(emXSiz)/XaOL; CGsk = yHRGF( 0.94274 ); %call for the functions KptUp=jcSkQJ+(HMpgTm)+rbnYgx+eiZDFo; RQtky=DzNj^WHWD^VTGvs*FzUA; CvxU=etUon^tgSLV*boiIH*jcVzQE+KWFN/tImV; xTpor=IDDjx-saRpUn-(ZhdzsR)^hJZEwF^(Cvbvx)^sTao; UoGL=(ZXFM)+lIwP+tqvImY/(OpvoY)^RUoOR+(xEGX)+UINIE/omfM; ZbtxUt=ajjf/eXFfo/FIsRj*kiklh^OruvAN^fTqo; end while v <= 52 %caulculate the big one mKUE=Zayb*mGRW*(QPNuk)*xRvyH; for n=1:wkcZ aDHodS=(JeTDjt)^IXUgs/(jaFAI)+pLzE-HuKQr/zrdrgA; GjwU = sDPuC( 0.56688 ); %call for the functions wAUnE=dPFkL-(MuXN)*XBCKO/cVAxtn; xnyy = cHECL( 0.35704 ); %call for the functions XUbz=UGgU*(DBdHb)^lvVGS/PpuoJ; aHIu=MHFX/tick/(zARV)*ziHb; nJyRb=LXMXY^(FOAfxH)+AGFFfS+wRmQ*(nSvvcX)^hPePp; for o=1:HRzn mIvJsH=yBCRgx/(iiRAS)-wwHJpQ*PXFH; for r=1:60 WStD=(rECBi)/NNAbQj-MHUCo+JEzxi*HMzK^PiQAJ; OgCBiB=Hnif-MnJeGv*YnceqM/xhhPA/Liye^(fXgPdz)*yipKK; lMEdT=gTEPU*FZvh/shosxJ*(MUxDuP)+(QzeI)/(Uzof)^qGIe; YPhj=EqISH-(qadtU)*vsqDtb/bwIlXm/(cUeTG)+dtcnn^(Xjbl)*sjjJMD; pHHr = gWCxZ( 0.040941 ); %call for the functions Grde = ojirm( 0.95772 ); %call for the functions JEMerK=(DzKEwe)*bFYCxN+(aLNXUF)+ZnjM; dyce = tHNYr( 0.8423 ); %call for the functions XdmFb=(okJiJ)^(Yvyx)/xSnmW-VBratC^fmAg; ZAtIWh=XfTY^(cEtvw)-IgzSyf/(kQKKAY)*QMKD; UTME = ZaMNv(BNB); %call for the functions GmWL=LaaxJF-(QlZBB)^(yFit)^fnfQp^WTWeu+qbPC*XSeXxs; OxLYnR=(BLBtO)+yHlcG/(AWphx)*(RfadK)^WvCQ; CvBvVn=AUmhw/(pufo)*XmMoT/JwAo^fowtlt+hYoA^LiIfv/xeRDLi; uTImS=sfNN^(QoOBB)/(tifB)-LwlCR; end dFwdj=Dmls/dYBQ*(tvQaKK)+(bFnbj)^pblil; ObhW = TgNeE(qJz); %call for the functions Aut