.MCAD 310000000 \  docDocumentMmcObject[xx d2_graph_format graphData% axisFormat)L)Ltrace2D&&&&&&&&& & & & &&&& dim_formatTmasslengthtimecharge temperature luminosity substanceNumericalFormatQdii  shpRectV03X4mcDocumentObjectState\ mcPageModelK????mcHeaderFooterI@I|F|P|D|TCHeaderFooterJ@J{f}{n}{d}{t}@J@J MbP?MbP? TextState? TextStyle>@ ArialSerial_ParPropDefaultW?Normalfont_style_listO font_styleP  VariablesTimes New Roman@P  ConstantsTimes New Roman@P TextArial@P Greek VariablesSymbol@P User^1Arial@P User^2 Courier New@P User^3System@P User^4Script@P User^5Roman@P User^6Modern@P User^7Times New Roman@P SymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@P Rotated Math FontTimes New Roman TextRegion* docRegionGshpBoxUP Pb( CharacterMap-RangeMap;@IEPFD Calculation for Washington, DC - Using Satellite at 119 Degrees W.L. ChrPropMap7I RangeElem<I  ChrPropData8 RangeData=0,0,128 ParPropMap9I @@=?@@K@>@@@@?loss@A@@>10@B*@U g8-Some necessary constants7@C<@D8@B0,0,1289@E<@F:@W,1@G</@H<@I0@NormalArial @J*@UHHhkk-radians-to-degrees7@K<@L8@J0,0,1289@M<@N:@W,1@O</@P<@Q0@NormalArial @R@B@Ui@S@@p@T@@ @S@U@@d@Td2r@V@@@T@W@@d@V\p@X@@@V180@Y*@Ukjkk-degrees-to-radians7@Z<@[8@Y0,0,1289@\<@]:@W,1@^</@_<@`0@NormalArial @a@B@Uxk@b@@p@c@@ @b@d@@d@cr2d@e@@@c@f@@t@e180@g@@@e\p@h*@UHHl-@Jsuggested value for effective radius of the earth for RF calculations (km)7J@i@@ A=A?@@dA>threshA@@@A>8.1AA*@U-': BSS earth station antenna gain (dBi)7'AB<'AC8AA0,0,1289'AD<'AE:@W,1AF</'AG<'AH0@NormalArial AI@B@UXxAJ@@pAK@@ AJAL@@dAKantgAM@@AK34AN*@U-: BSS earth station temp (dB)7AO<AP8AN0,0,1289AQ<AR:@W,1AS</AT<AU0@NormalArial AV@B@UXzAW@@pAX@@ AWAY@@dAXtempAZ@@AX125A[*@U--: BSS earth station antenna mispointing (dB)7-A\<-A]8A[0,0,1289-A^<-A_:@W,1A`</-Aa<-Ab0@NormalArial Ac@B@UX}Ad@@pAe@@ AdAf@@dAemisptAg@@Ae0.5Ah*@U 8- : Atmospheric gaseous loss (dB)7 Ai< Aj8Ah0,0,1289 Ak< Al:@W,1Am</ An< Ao0@NormalArial Ap@B@UX% Aq@@pAr@@ AqAs@@dAratmosAt@@Ar0.2Au*@U83C8@ -Earth Location Input Parameters7Av<Aw8Au0,0,1289Ax<Ay:@W,1Az</A{<A|0@NormalArial A}@B@UXDUtPA~@@pA@@ A~A@@dAeirpA@@A53.0A*@UCSPP-%: Satellite down-link peak EIRP (dBW)7%A<%A8A0,0,1289%A<%A:@W,1A</%A<%A0@NormalArial A@B@UX\mshA@@pA@@ AA@@dAelatA@@A38.898A*@U[kh-: ES latitude (deg) (N=+, S=-)7A<A8A0,0,1289A<A:@W,1A</A<A0@NormalArial A@B@UX|wA@@pA@@ AA@@dAelonA@@KAA@@A77.009A*@U{P-: ES longitude (deg) (E=+, W=-)7A<A8A0,0,1289A<A:@W,1A</A<A0@NormalArial A@B@UXlA@@pA@@ AA@@dAh.sA@@A0.01A*@U,-%: ES height above mean sea level (km)7%A<%A8A0,0,1289%A<%A:@W,1A</%A<%A0@NormalArial A*@UK`K0K0-@: Rainfall rate exceeded for 0.01% of an average year with an integration time of 1 minute. See ITU-R P.837 for estimates or Excel spread sheet: Rain_Rates.xls7A<A8A0,0,1289A<A:@W,1A</A<A0@NormalArial A@B@UX}A@@pA@@ AA@@dAR.0.01A@@A48.15A@B@UXoA@@pA@@ AA@@dAQ1A@@A2.85A*@UF#XF0F0-@: Factors used to convert annual percentage outage statistics to worst month outage statistics. Q1 and B are obtained from ITU-R Rec. P.841-1.7A<A8A0,0,1289A<A:@W,1A</A<A0@NormalArial A@B@UX hA@@pA@@ AA@@dABA@@A0.13A*@U 3cC @ CC-9Calculate range and elevation angle from ES to satellite:79A<9A8A0,0,12899A<9A:@W,1A</9A<9A0@NormalArial A@B@UPTet`A@@pA@@ AA@@dAglonrA@@AA@@dAsatlonA@@Ad2rA@B@UTIe`A@@pA@@ AA@@dAelatrA@@AA@@dAelatA@@Ad2rA@B@UhTh`A@@pA@@ AA@@dAeradA@@AA@@dAeradA@@Ah.sA@B@UPl}pxA@@pA@@ AA@@dAglatrA@@A0.A@B@UlQ}xA@@pA@@ AA@@dAelonrA@@AA@@dAelonA@@Ad2rA@B@UP dA@@pA@@ AA@@dAgxA@@AA@@@AB@@dAgsoradB@@AB@@dBcosB@@pBB@@BglonrB@@AB@@dBcosB@@pBB@@BglatrB @B@Uh{B @@pB @@ B B @@dB exB@@B B@@@BB@@dBeradB@@BB@@dBcosB@@pBB@@BelonrB@@BB@@dBcosB@@pBB@@BelatrB@B@UPfB@@pB@@ BB@@dBgyB@@BB@@@BB@@dBgsoradB@@BB @@dBsinB!@@pBB"@@B!glonrB#@@BB$@@dB#cosB%@@pB#B&@@B%glatrB'@B@Uh}B(@@pB)@@ B(B*@@dB)eyB+@@B)B,@@@B+B-@@dB,eradB.@@B,B/@@dB.sinB0@@pB.B1@@B0elonrB2@@B+B3@@dB2cosB4@@pB2B5@@B4elatrB6@B@UPdB7@@pB8@@ B7B9@@dB8gzB:@@B8B;@@dB:gsoradB<@@B:B=@@dB<sinB>@@pB<B?@@B>glatrB@@B@Uh{BA@@pBB@@ BABC@@dBBezBD@@BBBE@@dBDeradBF@@BDBG@@dBFsinBH@@pBFBI@@BHelatrBJ@B@UPjBK@@pBL@@ BKBM@@dBLegxBN@@BLBO@@dBNexBP@@BNgxBQ@B@UHBR@@pBS@@ BRBT@@dBSegyBU@@BSBV@@dBUeyBW@@BUgyBX@B@U BY@@pBZ@@ BYB[@@dBZegzB\@@BZB]@@dB\ezB^@@B\gzB_@B@UPyB`@@pBa@@ B`Bb@@dBadistegBc@@{BaBd@@pBcBe@@BdBf@@@BeBg@@@BfBh@@dBgegxBi@@Bg2Bj@@BfBk@@dBjegyBl@@Bj2Bm@@BeBn@@dBmegzBo@@Bm2Bp*@U  -,range from earth station to BSS sat (km)...:7,Bq<,Br8Bp0,0,1289,Bs<,Bt:@W,1Bu</,Bv<,Bw0@NormalArial Bx@B@UC-(By@@pBz@@ByB{@@dBzdistegB|@@BzB}@@+@B|Serial_DisplayNodeXB~@@B| _n_u_l_l_4JB@B@UP;_hgXB@@pB@@ BB@@dBeleB@@BB@@@BB@@@BB@@dBacosB@@pBB@@BB@@@BB@@@BB@@@BB@@dBeradB@@B2B@@BB@@dBdistegB@@B2B@@BB@@dBgsoradB@@B2B@@BB@@@BB@@tB2B@@BeradB@@BdistegB@@Br2dB@@B90.B*@UxK[xX vv-elevation angle (deg)7B<B8B0,0,1289B<B:@W,1B</B<B0@NormalArial B@B@Ul}xB@@pB@@BB@@dBeleB@@BB@@+@B@XB@@B _n_u_l_l_B*@U;## # -@tPerform the calculations specified in ITU Rec. P.618-6 to obtain a curve of the attenuation exceeded vs. probability7tBRelabel some variable names to the terminology used in P.618-67>B<>B8B0,0,1289>B<>B:@W,1B</>B<>B0@NormalArial B@B@UXhB@@pB@@ BB@@dB\qB@@BeleB*@U-.elevation angle from ES to the satellite (deg)7.B<.B8B0,0,1289.B<.B:@W,1B</.B<.B0@NormalArial B@B@UXfB@@pB@@ BB@@dB\fB@@BelatB*@Uw -#latitude of the Earth Station (deg)7#B<#B8B0,0,1289#B<#B:@W,1B</#B<#B0@NormalArial B*@U +2K 88  -@pStep 1 - Calculate rain height h'R. (Based upon "ho" in ITU-R P.839) A function of the earth station latitude.7pB@@dC=\fC?@@C=35C@@@C3h.RCA@@C+h.RCB*@UB00-@OFor Northern Europe west of 60 deg long. and North America, see ITU-R P.839-27OCCStep 2: Compute the slant path length Ls below the rain height7>CK<>CL8CJ0,0,1289>CM<>CN:@W,1CO</>CP<>CQ0@NormalArial CR@B@U,@8CS@@pCT@@CSCU@@dCTh.RCV@@CTCW@@+@CV@XCX@@CV _n_u_l_l_CY*@U +2; 8H-km7CZ<C[8CY0,0,1289C\<C]:@W,1C^</C_<C`0@NormalArial Ca@B@U`8tPCb@@pCc@@ CbCd@@dCcL.sCe@@CcCf@@I@CeCg@@@CfCh@@@CgCi@@dChh.RCj@@Chh.sCk@@CgCl@@dCksinCm@@pCkCn@@CmCo@@dCn\qCp@@Cnd2rCq@@-CfCr@@dCq\qCs@@Cq5Ct@@ICeCu@@@CtCv@@@CuCw@@tCv2Cx@@pCvCy@@CxCz@@dCyh.RC{@@Cyh.sC|@@CuC}@@@C|C~@@p@C}C@@C~C@@@CC@@@CC@@dCsinC@@pCC@@CC@@dC\qC@@Cd2rC@@C2C@@CC@@@CC@@tC2C@@pCC@@CC@@dCh.RC@@Ch.sC@@CR.eC@@C}0.5C@@C|C@@dCsinC@@pCC@@CC@@dC\qC@@Cd2rC@@)CtC@@dC\qC@@C5C*@U s2 P-km7C<C8C0,0,1289C<C:@W,1C</C<C0@NormalArial C@B@UC@@pC@@CC@@dCL.sC@@CC@@+@C@XC@@C _n_u_l_l_C*@U 2 P-km7C<C8C0,0,1289C<C:@W,1C</C<C0@NormalArial C*@U( (0pp-@BStep 3: Calculate the horizontal projection, LG, of the slant-path7BC@@0AD=D?@@0AD>D@@@0AD?DA@@0AD@DB@@0ADADC@@0ADBDD@@0ADCDE@@0ADDDF@@0ADEDG@@0ADFDH@@0ADGDI@@0ADHDJ@@0ADIDK@@0ADJDL@@0ADKDM@@0ADLDN@@0ADMDO@@0ADNDP@@0ADODQ@@0ADPDR@@0ADQDS@@0ADRDT@@0ADSDU@@0ADTDV@@0ADUDW@@0ADVDX@@0ADWDY@@0ADXDZ@@0ADYD[@@0ADZD\@@0AD[D]@@0AD\D^@@0AD]D_@@0AD^D`@@0AD_Da@@0AD`Db@@0ADaDc@@0ADbDd@@0ADcDe@@0ADdDf@@0ADeDg@@0ADfDh@@0ADgDi@@@DhDj@@Dh0.824Dk@@Dg0.868Dl@@Df0.897Dm@@De0.929Dn@@Dd0.963Do@@Dc1.000Dp@@Db1.030Dq@@Da1.065Dr@@D`1.128Ds@@D_1.200Dt@@D^0.264Du@@D]1.310Dv@@D\1.312Dw@@D[1.265Dx@@DZ1.075Dy@@DY0.923Dz@@DX0.880D{@@DW0.826D|@@DV0.873D}@@DU0.903D~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k ; x (00-A Rec. P.838-1 indicates logarithmic interpolation for frequency and k and linear for alpha. Rec. P.838-1 goes to 400 GHz, however, P.618-6 is only good to 55 GHz. Therefore, the table is truncated at 60 GHz. A Mathcad internal function spline interpolation is used.7 D< D8D0,0,1289 D< D:@W,1D</ D< D0@NormalArial D*@U( L ( 8$ $ -@Define separate vectors to aid in interpolation; define the working vector "vs" and use Mathcad's "interp" spline interpolation function7D<D8D0,0,1289D<D:@W,1D</D<D0@NormalArial D@B@UX c D@@pD@@ DD@@dDiD@@DD@@tD0D@@D16D@B@UX x D@@pD@@ DD@@@DD@@dDfreqD@@DiD@@DD@@dDlnD@@pDD@@DD@@dDV_tabD@@ DD@@dDiD@@D0D@B@U 1  D@@pD@@ DD@@dDfreq.inD@@DD@@dDlnD@@pDD@@DfD@B@Ux   D@@pD@@DD@@dDfD@@DD@@+@D@XD@@D _n_u_l_l_D@B@U   D@@pD@@ DD@@@DD@@dDk.HD@@DiD@@DD@@dDlnD@@pDD@@DD@@dDV_tabD@@ DD@@dDiE@@D1E@B@U, @ 8 E@@pE@@ EE@@dEvsE@@EE@@dEcsplineE@@pEE@@ EE @@dEfreqE @@Ek.HE @B@UXL ` lX E @@pE@@ E E@@dEk.hE@@EE@@dEexpE@@pEE@@EE@@dEinterpE@@pEE@@ EE@@ @EE@@ @EE@@dEvsE@@EfreqE@@Ek.HE@@Efreq.inE@B@UxL ` X E@@pE@@EE@@dEk.hE @@EE!@@+@E @XE"@@E _n_u_l_l_E#@B@Ut E$@@pE%@@ E$E&@@@E%E'@@dE&k.VE(@@E&iE)@@E%E*@@dE)lnE+@@pE)E,@@E+E-@@dE,V_tabE.@@ E,E/@@dE.iE0@@E.2E1@B@U  E2@@pE3@@ E2E4@@dE3vsE5@@E3E6@@dE5csplineE7@@pE5E8@@ E7E9@@dE8freqE:@@E8k.VE;@B@U` # t E<@@pE=@@ E@@dE=k.vE?@@E=E@@@dE?expEA@@pE?EB@@EAEC@@dEBinterpED@@pEBEE@@ EDEF@@ @EEEG@@ @EFEH@@dEGvsEI@@EGfreqEJ@@EFk.VEK@@EEfreq.inEL@B@U   EM@@pEN@@EMEO@@dENk.vEP@@ENEQ@@+@EP@XER@@EP _n_u_l_l_ES@B@U ET@@pEU@@ ETEV@@@EUEW@@dEV\a.HEX@@EViEY@@EUEZ@@dEYV_tabE[@@ EYE\@@dE[iE]@@E[3E^@B@U  E_@@pE`@@ E_Ea@@dE`vsEb@@E`Ec@@dEbcsplineEd@@pEbEe@@ EdEf@@dEefreqEg@@Ee\a.HEh@B@Uh 0 ( Ei@@pEj@@ EiEk@@dEj\a.hEl@@EjEm@@dElinterpEn@@pElEo@@ EnEp@@ @EoEq@@ @EpEr@@dEqvsEs@@EqfreqEt@@Ep\a.HEu@@Eofreq.inEv@B@U 0 ( Ew@@pEx@@EwEy@@dEx\a.hEz@@ExE{@@+@Ez@XE|@@Ez _n_u_l_l_E}@B@U; U H E~@@pE@@ E~E@@@EE@@dE\a.VE@@EiE@@EE@@dEV_tabE@@ EE@@dEiE@@E4E@B@U[ p h E@@pE@@ EE@@dEvsE@@EE@@dEcsplineE@@pEE@@ EE@@dEfreqE@@E\a.VE@B@Uh   E@@pE@@ EE@@dE\a.vE@@EE@@dEinterpE@@pEE@@ EE@@ @EE@@ @EE@@dEvsE@@EfreqE@@E\a.VE@@Efreq.inE@B@U   E@@pE@@EE@@dE\a.vE@@EE@@+@E@XE@@E _n_u_l_l_E*@U 1 -4Polarization tilt angle relative to horizontal (deg)74E<4E8E0,0,12894E<4E:@W,1E</4E<4E0@NormalArial E@B@Uh  u E@@pE@@EE@@dE\tE@@EE@@+@E@XE@@E _n_u_l_l_E*@U   gg-from input section7E<E8E0,0,1289E<E:@W,1E</E<E0@NormalArial E@B@UX gf E@@pE@@ EE@@dEkE@@EE@@@EE@@@EE@@dEk.hE@@Ek.vE@@EE@@@EE@@p@EE@@EE@@dEk.hE@@Ek.vE@@EE@@@EE@@dEcosE@@pEE@@EE@@dE\qE@@Ed2rE@@E2E@@EE@@dEcosE@@pEE@@EE@@@EE@@tE2E@@E\tE@@Ed2rE@@E2E@B@U 3  E@@pE@@EE@@dEkE@@EE@@+@E@XE@@E _n_u_l_l_E@B@UX8i(E@@pE@@ EE@@dE\aE@@EE@@@EE@@@EE@@@EE@@dEk.hE@@E\a.hE@@EE@@dEk.vE@@E\a.vE@@EE@@@EE@@p@EE@@EE@@@EE@@dEk.hE@@E\a.hE@@EE@@dEk.vE@@E\a.vE@@EE@@@EE@@dEcosE@@pEF@@EF@@dF\qF@@Fd2rF@@E2F@@EF@@dFcosF@@pFF@@FF@@@FF @@tF2F @@F\tF @@Fd2rF @@EF@@tF 2F@@F kF@B@U<-(F@@pF@@FF@@dF\aF@@FF@@+@F@XF@@F _n_u_l_l_F*@U0CS0P0-Returning to ITU-R P.618-67F<F8F0,0,1289F<F:@W,1F</F<F0@NormalArial F@B@UPlfF@@pF @@ FF!@@dF \g.RF"@@F F#@@dF"kF$@@F"F%@@dF$R.0.01F&@@F$\aF'@B@U@sUF(@@pF)@@F(F*@@dF)\g.RF+@@F)F,@@+@F+@XF-@@F+ _n_u_l_l_F.*@Us,-Specific attenuation dB/km7F/<F08F.0,0,1289F1<F2:@W,1F3</F4<F50@NormalArial F6*@U008-@GStep 6: Calculate the horizontal reduction factor for 0.01% of the time7GF7@B@UPR qF?@@pF@@@ F?FA@@dF@r.0.01FB@@F@FC@@tFB1FD@@FBFE@@@FDFF@@tFE1FG@@FEFH@@tFG0.78FI@@{FGFJ@@FIFK@@@FJFL@@dFKL.GFM@@FK\g.RFN@@FJfFO@@FDFP@@tFO0.38FQ@@pFOFR@@FQFS@@tFR1FT@@FRFU@@dFTeFV@@FTFW@@K@FVFX@@FW2FY@@FVL.GFZ@B@UL F[@@pF\@@F[F]@@dF\r.0.01F^@@F\F_@@+@F^@XF`@@F^ _n_u_l_l_Fa*@U0#300-@FStep 7: Calculate the vertical adjustment factor for 0.01% of the time7FFb8G80,0,128G;G=G99zG?@@tH=20H?@@H=0H@@@H@@ I=I?@@@I>I@@@dI?gtIA@@I?lIB@@I>IC@@dIBantgID@@IBIE@@tID10IF@@IDIG@@dIFlogIH@@pIFII@@IHIJ@@dIItsysIK@@IIlIL@B@U:8IM@@pIN@@IMIO@@@INIP@@dIOgtIQ@@IO0IR@@INIS@@+@IR@XIT@@IR _n_u_l_l_IU*@U 0 9H-1Carrier-to-noise ratio and other; link parameters71IV<1IW8IU0,0,12891IX<1IY:@W,1IZ</1I[<1I\0@NormalArial I]@B@UH $`:I^@@pI_@@ I^I`@@@I_Ia@@dI`cnIb@@I`lIc@@I_Id@@@IcIe@@@IdIf@@@IeIg@@@IfIh@@@IgIi@@@IhIj@@@IiIk@@dIjeirpIl@@IjcontourIm@@IibtlIn@@IhmisptIo@@IgIp@@dIogtIq@@IolIr@@If228.6Is@@IeIt@@tIs10Iu@@IsIv@@dIulogIw@@pIuIx@@IwbwIy@@IdIz@@dIy rain_lossI{@@IylI|@@IcatmosI}@B@UHB+ddX;I~@@pI@@ I~I@@@II@@dIcntI@@IlI@@II@@K@II@@I10I@@II@@dIlogI@@pII@@II@@@II@@@II@@@II@@@II@@tI10I@@II@@K@II@@I0.1I@@II@@dIcnI@@IlI@@II@@tI10I@@II@@K@II@@I0.1I@@IcnupI@@II@@tI10I@@II@@K@II@@I0.1I@@IciadjI@@II@@tI10I@@II@@K@II@@I0.1I@@IciterrI@@II@@tI10I@@II@@K@II@@I0.1I@@I xpol_isoI*@U({k(<CC- Link margin7 I< I8I0,0,1289 I< I:@W,1I</ I< I0@NormalArial I@B@UH=I@@pI@@ II@@@II@@dI link_margI@@IlI@@II@@@II@@dIcntI@@IlI@@IthreshI*@U((>(-Clear sky Link Parameters79I<I:@W1I</I<I0@NormalArial I@B@Up?I@@pI@@II@@@II@@dIcnI@@I0I@@II@@+@I@XI@@I _n_u_l_l_I@B@Up@I@@pI@@II@@@II@@dIcntI@@I0I@@II@@+@I@XI@@I _n_u_l_l_I@B@Up, AI@@pI@@II@@@II@@dI link_margI@@I0I@@II@@+@I@XI@@I _n_u_l_l_I*@U`# B-Clear Sky Link margin79I<I:@W1I</I<I0@NormalArial I*@U K;k XC  -@The rain margin is the value of rain loss that drives the link margin to 0 dB. The following loop is exited at the point the link margin crosses zero7I<I8I0,0,1289I<I:@W,1I</I<I0@NormalArial I@B@Up|DI@@pI@@ II@@dIposI@@II@@@II@@@II@@dIkI@@I0I@@II@@@II@@dIkI@@II@@dIkI@@I1I@@-II@@@IJ@@dI link_margJ@@IkJ@@I0J@@IkJ@B@UxEJ@@pJ@@JJ@@dJposJ@@JJ @@+@J@XJ @@J _n_u_l_l_J *@U0#0 F0-The calculated rain margin is:7J <J8J 0,0,1289J<J:@W,1J</J<J0@NormalArial J@B@Uh4L@GJ@@pJ@@ JJ@@dJ Rain_marginJ@@JJ@@dJ rain_lossJ@@JJ@@dJposJ@@J1J*@U;PHH-@Note: These values are within 0.01 of the DirectTV spread sheet. The difference appears to be the quantization error caused by using an increment of 0.01 dB in rain-loss. A smaller increment could be used if higher fidelity is required - pal 79J<J:@W1J</J <J!0@NormalArial J"@B@UhTe`IJ#@@pJ$@@J#J%@@dJ$ Rain_marginJ&@@J$J'@@+@J&@XJ(@@J& _n_u_l_l_3JJ)*@U(Ss(`J -+rain loss required to drive margin to zero 7+9+J*<+J+:@W1J,</+J-<+J.0@NormalArial J/@B@UhKJ0@@pJ1@@J0J2@@@J1J3@@dJ2cnJ4@@J2J5@@dJ4posJ6@@J41J7@@J1J8@@+@J7@XJ9@@J7J:*@U(f(L0>>- Faded C/N7 9 J;< J<:@W1J=</ J>< J?0@NormalArial J@*@U((M8^^-Faded Total C/N79JA<JB:@W1JC</JD<JE0@NormalArial JF@B@UhNJG@@pJH@@JGJI@@@JHJJ@@dJIcntJK@@JIJL@@dJKposJM@@JK1JN@@JHJO@@+@JN@XJP@@JNJQ@B@UhOJR@@pJS@@JRJT@@@JSJU@@dJT link_margJV@@JTJW@@dJVposJX@@JV1JY@@JSJZ@@+@JY@XJ[@@JYJ\*@U00P rr-should be near zero79J]<J^:@W1J_</J`<Ja0@NormalArial Jb*@U08#0Q  -@Returning to the attenuation vs. probability curve. interpolating to find the percentage of an average year associated with the rain margin7Jc<Jd8Jb0,0,1289Je<Jf:@W,1Jg</Jh<Ji0@NormalArial Jj*@U0;;[0HR    -@iFind the Percent of time associated with the rain margin by interpolating the attn. vs. probability curve7iJk+(eH..-minutes7K<K8K 0,36,1049K<K:@W,1K</K<K0@NormalArial K*@USL`f@4040-@The allowance for external interference is 10% of the internal outage (i.e., rain outage) for a total of 3.5 sources re ITU Rec's. The MVDDS therefore can increase the BSS rain outage by 2.86% of the Outage_per_year value. 7K<K8K0,36,1049K<K:@W,1K</K<K0@NormalArial K@B@UHgK@@pK@@ KK@@dKAllow_FS_min5K @@KK!@@dK Outage_per_yrK"@@K 0.05K#*@U8k8h33-Rounded7K$<K%8K#0,0,1289K&<K':@W,1K(</K)<K*0@NormalArial K+@B@U&iK,@@pK-@@K,K.@@dK-Allow_FS_min5K/@@K-K0@@+@K/@XK1@@K/ _n_u_l_l_K2*@U N jH..-minutes7K3<K48K20,36,1049K5<K6:@W,1K7</K8<K90@NormalArial K:*@U?k@/ / -@cThe total outage and associated percent of average year, including interference from the MVDDS, is:7cK;:@W,1K?</cK@Recalculate the faded downlink channel with the new parameters7>9>K<>K:@W1K</>K<>K0@NormalArial K@B@UP|K@@pK@@ KK@@dK tant_outK@@KK@@dK rain_tempK@@pKK@@K Attn_out1K@B@UP}K@@pK@@ KK@@dK tsys_outK@@KK@@dKtempK@@K tant_outK*@U0@0~H-1Carrier-to-noise ratio and other; link parameters71K<1K8K0,0,12891K<1K:@W,1K</1K<1K0@NormalArial K@B@UpxK@@pK@@@KK@@KK@@dK total_min2K@@KK@@+@K@XK@@KK@B@UT=yK@@pK@@@KK@@KK@@dK Total_minK@@KK@@+@K@XK@@KK@B@UXK@@pK@@KK@@dK Attn_out1K@@KK@@+@K@XK@@K4J`K@B@UP#GH8K@@pK@@KK@@@KK@@dKdBK@@pKL@@KL@@@LL@@@LL@@dL rain_tempL@@pLL@@L Attn_out1L@@LtempL@@LtempL@@KL @@+@L@XL @@LL *@UP3CP@-"Increase in noise temp due to rain7"9"L <"L:@W1L</"L<"L0@NormalArial L@B@UP\~hL@@pL@@ LL@@dLcn_outL@@6LL@@@LL@@@LL@@@LL@@@LL@@@LL@@@LL@@@LL@@dLeirpL@@LcontourL@@LbtlL @@LmisptL!@@LL"@@dL!gtL#@@L!0L$@@L228.6L%@@LL&@@tL%10L'@@L%L(@@dL'logL)@@pL'L*@@L)bwL+@@LatmosL,@@LL-@@K@L,L.@@L- Attn_out1L/@@L,L0@@dL/dBL1@@pL/L2@@L1L3@@@L2L4@@@L3L5@@dL4 rain_tempL6@@pL4L7@@L6 Attn_out1L8@@L3tempL9@@L2tempL:@B@U-h<L;@@pL<@@L;L=@@dL<pL>@@LL@@@@L?LA@@L?LB@@<@LALC CVSEqItem EqItemL:LBLD CVSComboItemCVSItem< =TCVSOleClientItem ࡱ> Root EntryaB.dK8Ƿ@Contents( N$# )di in\xArialH^b@^bArial88lw&w<T1c$LE@@LA1@XLF@@L> _n_u_l_l_LG@B@UILH@@pLI@@LHLJ@@dLIcn_outLK@@LILL@@+@LK@XLM@@LKLN@B@U(4ZLO@@pLP@@ LOLQ@@dLPcnt_outLR@@LPLS@@K@LRLT@@LS10LU@@LRLV@@dLUlogLW@@pLULX@@LWLY@@@LXLZ@@@LYL[@@@LZL\@@@L[L]@@tL\10L^@@L\L_@@K@L^L`@@L_0.1La@@L^cn_outLb@@L[Lc@@tLb10Ld@@LbLe@@K@LdLf@@Le0.1Lg@@LdcnupLh@@LZLi@@tLh10Lj@@LhLk@@K@LjLl@@Lk0.1Lm@@LjciadjLn@@LYLo@@tLn10Lp@@LnLq@@K@LpLr@@Lq0.1Ls@@LpciterrLt@@LXLu@@tLt10Lv@@LtLw@@K@LvLx@@Lw0.1Ly@@Lv xpol_isoLz@B@UEL{@@pL|@@L{L}@@dL|cnt_outL~@@L|L@@+@L~@XL@@L~L*@U(#( (-@SCalculate the Allowable C/I from MVDSS to drive the C/(N+I) to the threshold value 7S9SL<M?0@NormalArial M@@B@U \ * MA@@pMB@@MAMC@@dMBAllow_FS_min10MD@@MBME@@+@MD@XMF@@MD _n_u_l_l_MG*@UP ~ P H..-minutes7MH<MI8MG0,36,1049MJ<MK:@W,1ML</MM<MN0@NormalArial MO*@U@ o @ @/ / -@cThe total outage and associated percent of average year, including interference from the MVDDS, is:7cMPRecalculate the faded downlink channel with the new parameters7>9>M<>M:@W1M</>M<>M0@NormalArial M@B@U"7""M@@pM@@ MM@@dM tant_outM@@MM@@dM rain_tempM@@pMM@@M Attn_out1M@B@U"""M@@pM@@ MM@@dM tsys_outM@@MM@@dMtempM@@M tant_outM*@U`"p"`"H-1Carrier-to-noise ratio and other; link parameters71M<1M8M0,0,12891M<1M:@W,1M</1M<1M0@NormalArial M@B@U"""M@@pM@@MM@@dM Attn_out1M@@MM@@+@M@XM@@M4J`M@B@U#w8#K(#N@@pN@@NN@@@NN@@dNdBN@@pNN@@NN@@@NN@@@NN@@dN rain_tempN @@pNN @@N Attn_out1N @@NtempN @@NtempN@@NN@@+@N@XN@@NN*@U##D3#0#-"Increase in noise temp due to rain7"9"N<"N:@W1N</"N<"N0@NormalArial N@B@UL#"#X#N@@pN@@ NN@@dNcn_outN@@6NN@@@NN@@@NN@@@NN@@@NN@@@NN @@@NN!@@@N N"@@dN!eirpN#@@N!contourN$@@N btlN%@@NmisptN&@@NN'@@dN&gtN(@@N&0N)@@N228.6N*@@NN+@@tN*10N,@@N*N-@@dN,logN.@@pN,N/@@N.bwN0@@NatmosN1@@NN2@@K@N1N3@@N2 Attn_out1N4@@N1N5@@dN4dBN6@@pN4N7@@N6N8@@@N7N9@@@N8N:@@dN9 rain_tempN;@@pN9N<@@N; Attn_out1N=@@N8tempN>@@N7tempN?@B@U #y#M#N@@@pNA@@N@NB@@dNAcn_outNC@@NAND@@+@NC@XNE@@NCNF@B@UX#d##NG@@pNH@@ NGNI@@dNHcnt_outNJ@@NHNK@@K@NJNL@@NK10NM@@NJNN@@dNMlogNO@@pNMNP@@NONQ@@@NPNR@@@NQNS@@@NRNT@@@NSNU@@tNT10NV@@NTNW@@K@NVNX@@NW0.1NY@@NVcn_outNZ@@NSN[@@tNZ10N\@@NZN]@@K@N\N^@@N]0.1N_@@N\cnupN`@@NRNa@@tN`10Nb@@N`Nc@@K@NbNd@@Nc0.1Ne@@NbciadjNf@@NQNg@@tNf10Nh@@NfNi@@K@NhNj@@Ni0.1Nk@@NhciterrNl@@NPNm@@tNl10Nn@@NlNo@@K@NnNp@@No0.1Nq@@Nn xpol_isoNr@B@U#u#I#Ns@@pNt@@NsNu@@dNtcnt_outNv@@NtNw@@+@Nv@XNx@@NvNy*@UX$6$X$(-@SCalculate the Allowable C/I from MVDSS to drive the C/(N+I) to the threshold value 7S9SNz@@O< _n_u_l_l_O?*@U8;&fK&8H&H..-minutes7O@<OA8O?0,36,1049OB<OC:@W,1OD</OE<OF0@NormalArial OG*@U(c&W&(p&@/ / -@cThe total outage and associated percent of average year, including interference from the MVDDS, is:7cOHRecalculate the faded downlink channel with the new parameters7>9>O<>O:@W1O</>O<>O0@NormalArial O@B@Uh4(E(@(O@@pO@@ OO@@dO tant_outO@@OO@@dO rain_tempO@@pOO@@O Attn_out1O@B@UhT(e(`(O@@pO@@ OO@@dO tsys_outO@@OO@@dOtempO@@O tant_outO*@UH{(X(H(H-1Carrier-to-noise ratio and other; link parameters71O<1O8O0,0,12891O<1O:@W,1O</1O<1O0@NormalArial O@B@Up(((O@@pO@@OO@@dO Attn_out1O@@OO@@+@O@XO@@O4J`O@B@Uh(_(3(O@@pO@@OO@@@OO@@dOdBO@@pOO@@OO@@@OO@@@OP@@dO rain_tempP@@pOP@@P Attn_out1P@@OtempP@@OtempP@@OP@@+@P@XP@@PP*@Uh(,(h(-"Increase in noise temp due to rain7"9"P <"P :@W1P </"P <"P0@NormalArial P@B@Uh( 7))P@@pP@@ PP@@dPcn_outP@@6PP@@@PP@@@PP@@@PP@@@PP@@@PP@@@PP@@@PP@@dPeirpP@@PcontourP@@PbtlP@@PmisptP@@PP@@dPgtP @@P0P!@@P228.6P"@@PP#@@tP"10P$@@P"P%@@dP$logP&@@pP$P'@@P&bwP(@@PatmosP)@@PP*@@K@P)P+@@P* Attn_out1P,@@P)P-@@dP,dBP.@@pP,P/@@P.P0@@@P/P1@@@P0P2@@dP1 rain_tempP3@@pP1P4@@P3 Attn_out1P5@@P0tempP6@@P/tempP7@B@UD)aU)5P)P8@@pP9@@P8P:@@dP9cn_outP;@@P9P<@@+@P;@XP=@@P;P>@B@U@d)L})rx)P?@@pP@@@ P?PA@@dP@cnt_outPB@@P@PC@@K@PBPD@@PC10PE@@PBPF@@dPElogPG@@pPEPH@@PGPI@@@PHPJ@@@PIPK@@@PJPL@@@PKPM@@tPL10PN@@PLPO@@K@PNPP@@PO0.1PQ@@PNcn_outPR@@PKPS@@tPR10PT@@PRPU@@K@PTPV@@PU0.1PW@@PTcnupPX@@PJPY@@tPX10PZ@@PXP[@@K@PZP\@@P[0.1P]@@PZciadjP^@@PIP_@@tP^10P`@@P^Pa@@K@P`Pb@@Pa0.1Pc@@P`citerrPd@@PHPe@@tPd10Pf@@PdPg@@K@PfPh@@Pg0.1Pi@@Pf xpol_isoPj@B@U)])1)Pk@@pPl@@PkPm@@dPlcnt_outPn@@PlPo@@+@Pn@XPp@@PnPq*@U@))@)(-@SCalculate the Allowable C/I from MVDSS to drive the C/(N+I) to the threshold value 7S9SPr@@Q< Allow_FS_minQ?@B@U<,M,H,Q@@@pQA@@Q@QB@@dQA Total_minQC@@QAQD@@+@QC@XQE@@QC _n_u_l_l_QF@B@Uc,,,x,QG@@pQH@@ QGQI@@dQH Total_perQJ@@QHQK@@@QJQL@@dQK Total_minQM@@QK Min_per_yearQN@@QJ100QO@B@Ul,},x,QP@@pQQ@@QPQR@@dQQ Total_perQS@@QQQT@@+@QS@XQU@@QS _n_u_l_l_QV*@U8,t,8,@< < -@To interpolate probability vs. loss curve for a loss given the probability, the indices must be reversed because the spline function in Mathcad requires the "y" values to be increasing. 7QW<QX8QV0,36,1049QY<QZ:@W,1Q[</Q\<Q]0@NormalArial Q^@B@U,,,Q_@@pQ`@@ Q_Qa@@@Q`Qb@@dQajkQc@@QajQd@@Q`Qe@@dQdNptsQf@@QdjQg@B@U,-, Qh@@pQi@@ QhQj@@@QiQk@@dQjprobQl@@QjjQm@@QiQn@@dQmpQo@@pQmQp@@QoQq@@dQpjkQr@@QpjQs@B@U -'-- Qt@@pQu@@ QtQv@@@QuQw@@dQvAtnQx@@QvjQy@@QuQz@@dQyA.pQ{@@pQyQ|@@Q{Q}@@dQ|jkQ~@@Q|jQ@B@U4- E-@- Q@@pQ@@ QQ@@dQvsQ@@QQ@@dQcsplineQ@@pQQ@@ QQ@@dQprobQ@@QAtnQ*@U(3-C-(@- -!required for spline interpolation7!QRecalculate the faded downlink channel with the new parameters7>9>Q<>Q:@W1Q</>Q<>Q0@NormalArial Q@B@Ux-/--Q@@pQ@@ QQ@@dQ tant_outQ@@QQ@@dQ rain_tempQ@@pQQ@@Q Attn_out1Q@B@Ux...Q@@pQ@@ QQ@@dQ tsys_outQ@@QQ@@dQtempQ@@Q tant_outQ*@UX+.h;.X8.H-1Carrier-to-noise ratio and other; link parameters71Q<1Q8Q0,0,12891Q<1Q:@W,1Q</1Q<1Q0@NormalArial Q@B@UL.].X.Q@@pQ@@QQ@@dQ Attn_out1Q@@QQ@@+@Q@XQ@@Q4J`Q@B@Uxs.o.C.Q@@pQ@@QQ@@@QQ@@dQdBQ@@pQQ@@QQ@@@QQ@@@QQ@@dQ rain_tempQ@@pQQ@@Q Attn_out1Q@@QtempQ@@QtempQ@@QQ@@+@Q@XQ@@QQ*@Ux.<.x.-"Increase in noise temp due to rain7"9"Q<"Q:@W1Q</"Q<"Q0@NormalArial Q@B@Ux...Q@@pQ@@ QQ@@dQcn_outQ@@6QQ@@@QQ@@@QQ@@@QQ@@@QR@@@QR@@@RR@@@RR@@dReirpR@@RcontourR@@RbtlR@@RmisptR@@QR@@dRgtR @@R0R @@Q228.6R @@QR @@tR 10R@@R R@@dRlogR@@pRR@@RbwR@@QatmosR@@QR@@K@RR@@R Attn_out1R@@RR@@dRdBR@@pRR@@RR@@@RR@@@RR@@dR rain_tempR@@pRR@@R Attn_out1R@@RtempR@@RtempR @B@U.q/E/R!@@pR"@@R!R#@@dR"cn_outR$@@R"R%@@+@R$@XR&@@R$R'@B@UP/\-/(/R(@@pR)@@ R(R*@@dR)cnt_outR+@@R)R,@@K@R+R-@@R,10R.@@R+R/@@dR.logR0@@pR.R1@@R0R2@@@R1R3@@@R2R4@@@R3R5@@@R4R6@@tR510R7@@R5R8@@K@R7R9@@R80.1R:@@R7cn_outR;@@R4R<@@tR;10R=@@R;R>@@K@R=R?@@R>0.1R@@@R=cnupRA@@R3RB@@tRA10RC@@RARD@@K@RCRE@@RD0.1RF@@RCciadjRG@@R2RH@@tRG10RI@@RGRJ@@K@RIRK@@RJ0.1RL@@RIciterrRM@@R1RN@@tRM10RO@@RMRP@@K@RORQ@@RP0.1RR@@RO xpol_isoRS@B@UD/mU/AP/RT@@pRU@@RTRV@@dRUcnt_outRW@@RURX@@+@RW@XRY@@RWRZ*@UPc/.s/Pp/(-@SCalculate the Allowable C/I from MVDSS to drive the C/(N+I) to the threshold value 7S9SR[ 0!R@@pR@@RR@@dR C2I130minR@@RR@@+@R@XR@@RR*@U30gS0@0"w w -PFD into a zero gain antenna79R<R:@W1R</R<R0@NormalArial R@B@U`40M0H0#R@@pR@@ RR@@dR PFD2430minR@@RR@@@RR@@@RR@@@RR@@dReirpR@@RcontourR@@RmisptR@@RatmosR@@RR@@dRdBR@@pRR@@RR@@@RR@@tR4R@@R\pR@@RR@@p@RR@@RR@@dRdistegR@@R1000R@@R2R@B@U`\0m0h0$R@@pR@@RR@@dR PFD2430minR@@RR@@+@R@XR@@RR*@U[0_k0h0%-dB(W/m^2 in 24 MHz)79R<R:@W1R</R<R0@NormalArial R@B@U`|000&R@@pR@@ RR@@dR Local_gainR@@R0R@B@U`000'R@@pR@@ RR@@dR PFD2430minR@@RR@@@RR@@dR PFD2430minR@@R C2I130minR@@pRR@@RR@@dRantgR@@R Local_gainR@B@Up000(R@@pR@@RR@@dRPFD24R@@RR@@+@R@XR@@RR*@U(00(0)-dB(W/m^2 in 24 MHz)79R<R:@W1R</R<R0@NormalArial R@B@U`0M00*R@@pR@@ RR@@dR PFD40k30minR@@RR@@dR PFD2430minR@@RR@@dRdBR@@pRR@@RR@@tR40R@@R24000R@B@UX000+R@@pR@@RR@@dR PFD40k30minR@@RR@@+@R@XR@@RR*@U0[00,{{-dB(W/m^2 in 40 kHz)79R<R:@W1R</R<R0@NormalArial R@B@U`1;(11-R@@pR@@ RR@@dR PFD4k30minR@@RR@@dR PFD40k30minR@@RR@@dRdBR@@pRR@@RR@@tR4R@@R40R@B@U8D1U1P1`R@@pR@@RR@@dROutage_per_yrR@@RR@@+@R@XR@@R _n_u_l_l_R*@U8c1s1Cp1a@-PFD and C/I for 2.86%79R<R:@W1R</S<S0@NormalArial S@B@U@|11j1bS@@pS@@SS@@dSPFD4kS@@SS@@+@S@XS@@SS *@U{1,11ctt-dB(W/m^2 in 4 kHz)79S <S :@W1S </S<S0@NormalArial S@B@Up|111dS@@pS@@ SS@@dSEPFD4kS@@SS@@dSPFD4kS@@S34S@B@U@11q1eS@@pS@@SS@@dSEPFD4kS@@SS@@+@S@XS@@SS@B@U1Q11fS@@pS@@SS @@dSC2I1S!@@SS"@@+@S!@XS#@@S!S$*@U811C1g@ww-PFD and C/I for 10%79S%<S&:@W1S'</S(<S)0@NormalArial S*@B@UH11~1hS+@@pS,@@S+S-@@dS,PFD4k10S.@@S,S/@@+@S.@XS0@@S.S1*@U1L11ittt-dB(W/m^2 in 4 kHz)79S2<S3:@W1S4</S5<S60@NormalArial S7@B@U1:11jS8@@pS9@@ S8S:@@dS9 EPFD4k10S;@@S9S<@@dS;PFD4k10S=@@S;34S>@B@UP122kS?@@pS@@@S?SA@@dS@ EPFD4k10SB@@S@SC@@+@SB@XSD@@SBSE@B@U1]2+2lSF@@pSG@@SFSH@@dSGC2I110SI@@SGSJ@@+@SI@XSK@@SISL*@U(2+23(2m@pp-PFD and C/I for 5%79SM<SN:@W1SO</SP<SQ0@NormalArial SR@B@UP42E2@2nSS@@pST@@SSSU@@dSTPFD4k5SV@@STSW@@+@SV@XSX@@SVSY*@U;2<K2H2ott-dB(W/m^2 in 4 kHz)79SZ<S[:@W1S\</S]<S^0@NormalArial S_@B@U<2M2H2pS`@@pSa@@ S`Sb@@dSaEPFD4k5Sc@@SaSd@@dScPFD4k5Se@@Sc34Sf@B@UHT2e2`2qSg@@pSh@@SgSi@@dShEPFD4k5Sj@@ShSk@@+@Sj@XSl@@SjSm@B@U\2gm25h2rSn@@pSo@@SnSp@@dSoC2I15Sq@@SoSr@@+@Sq@XSs@@SqSt*@U s22+2s@-PFD and C/I for 30 minutes79Su<Sv:@W1Sw</Sx<Sy0@NormalArial Sz@B@UH222tS{@@pS|@@S{S}@@dS| PFD4k30minS~@@S|S@@+@S~@XS@@S~S*@U2T22utt-dB(W/m^2 in 4 kHz)79S<S:@W1S</S<S0@NormalArial S@B@U2H22vS@@pS@@ SS@@dS EPFD4k30minS@@SS@@dS PFD4k30minS@@S34S@B@U@222wS@@pS@@SS@@dS EPFD4k30minS@@SS@@+@S@XS@@SS@B@U2x2F2xS@@pS@@SS@@dS C2I130minS@@SS@@+@S@XS@@S