PLL Tutorial

LPFRC0.03dt0.01Frequency1tu_inu_out_Bu_out_F00000.0110.2500.0210.43750.33333333330.0310.5781250.55555555560.0410.683593750.70370370370.0510.76269531250.80246913580.0610.82202148440.86831275720.0710.86651611330.91220850480.0810.8998870850.94147233650.0910.92491531370.96098155770.110.94368648530.97398770510.1110.9577648640.98265847010.1210.9683236480.98843898010.1310.9762427360.99229265340.1410.9821820520.99486176890.1510.9866365390.99657451260.1610.98997740420.99771634170.1710.99248305320.99847756120.1810.99436228990.99898504080.1910.99577171740.99932336050.210.99682878810.9995489070.2110.9976215910.99969927130.2210.99821619330.99979951420.2310.9986621450.99986634280.2410.99899660870.99991089520.2510.99924745650.99994059680.2610.99943559240.99996039790.2710.99957669430.99997359860.2810.99968252070.99998239910.2910.99976189050.9999882660.310.99982141790.99999217740.3110.99986606340.99999478490.3210.99989954760.99999652330.3310.99992466070.99999768220.3410.99994349550.99999845480.3510.99995762160.99999896990.3610.99996821620.99999931320.3710.99997616220.99999954220.3810.99998212160.99999969480.3910.99998659120.99999979650.410.99998994340.99999986430.4110.99999245760.99999990960.4210.99999434320.99999993970.4310.99999575740.99999995980.4410.9999968180.99999997320.4510.99999761350.99999998210.4610.99999821010.99999998810.4710.99999865760.99999999210.4810.99999899320.99999999470.4910.99999924490.99999999650.5-10.49999943370.99999999760.51-10.12499957530.33333333180.52-1-0.1562503186-0.11111111220.53-1-0.3671877389-0.40740740810.54-1-0.5253908042-0.60493827210.55-1-0.6440431031-0.73662551470.56-1-0.7330323274-0.82441700980.57-1-0.7997742455-0.88294467320.58-1-0.8498306841-0.92196311550.59-1-0.8873730131-0.94797541030.6-1-0.9155297598-0.96531694020.61-1-0.9366473199-0.97687796010.62-1-0.9524854899-0.98458530680.63-1-0.9643641174-0.98972353780.64-1-0.9732730881-0.99314902520.65-1-0.9799548161-0.99543268350.66-1-0.984966112-0.99695512230.67-1-0.988724584-0.99797008150.68-1-0.991543438-0.9986467210.69-1-0.9936575785-0.9990978140.7-1-0.9952431839-0.99939854270.71-1-0.9964323879-0.99959902850.72-1-0.9973242909-0.99973268560.73-1-0.9979932182-0.99982179040.74-1-0.9984949137-0.99988119360.75-1-0.9988711852-0.99992079570.76-1-0.9991533889-0.99994719720.77-1-0.9993650417-0.99996479810.78-1-0.9995237813-0.99997653210.79-1-0.999642836-0.99998435470.8-1-0.999732127-0.99998956980.81-1-0.9997990952-0.99999304650.82-1-0.9998493214-0.99999536440.83-1-0.9998869911-0.99999690960.84-1-0.9999152433-0.99999793970.85-1-0.9999364325-0.99999862650.86-1-0.9999523244-0.99999908430.87-1-0.9999642433-0.99999938950.88-1-0.9999731824-0.9999995930.89-1-0.9999798868-0.99999972870.9-1-0.9999849151-0.99999981910.91-1-0.9999886863-0.99999987940.92-1-0.9999915148-0.99999991960.93-1-0.9999936361-0.99999994640.94-1-0.9999952271-0.99999996430.95-1-0.9999964203-0.99999997620.96-1-0.9999973152-0.99999998410.97-1-0.9999979864-0.99999998940.98-1-0.9999984898-0.99999999290.99-1-0.9999988674-0.999999995311-0.4999991505-0.99999999691.011-0.1249993629-0.33333333121.0210.15625047780.11111111251.0310.36718785840.40740740831.0410.52539089380.60493827221.0510.64404317030.73662551481.0610.73303237780.82441700991.0710.79977428330.88294467331.0810.84983071250.92196311551.0910.88737303440.94797541031.110.91552977580.96531694021.1110.93664733180.97687796011.1210.95248549890.98458530681.1310.96436412420.98972353781.1410.97327309310.99314902521.1510.97995481980.99543268351.1610.98496611490.99695512231.1710.98872458620.99797008151.1810.99154343960.9986467211.1910.99365757970.9990978141.210.99524318480.99939854271.2110.99643238860.99959902851.2210.99732429140.99973268561.2310.99799321860.99982179041.2410.99849491390.99988119361.2510.99887118550.99992079571.2610.99915338910.99994719721.2710.99936504180.99996479811.2810.99952378140.99997653211.2910.9996428360.99998435471.310.9997321270.99998956981.3110.99979909530.99999304651.3210.99984932140.99999536441.3310.99988699110.99999690961.3410.99991524330.99999793971.3510.99993643250.99999862651.3610.99995232440.99999908431.3710.99996424330.99999938951.3810.99997318250.9999995931.3910.99997988680.99999972871.410.99998491510.99999981911.4110.99998868630.99999987941.4210.99999151480.99999991961.4310.99999363610.99999994641.4410.99999522710.99999996431.4510.99999642030.99999997621.4610.99999731520.99999998411.4710.99999798640.99999998941.4810.99999848980.99999999291.4910.99999886740.99999999531.5-10.49999915050.99999999691.51-10.12499936290.33333333121.52-1-0.1562504778-0.11111111251.53-1-0.3671878584-0.40740740831.54-1-0.5253908938-0.60493827221.55-1-0.6440431703-0.73662551481.56-1-0.7330323778-0.82441700991.57-1-0.7997742833-0.88294467331.58-1-0.8498307125-0.92196311551.59-1-0.8873730344-0.94797541031.6-1-0.9155297758-0.96531694021.61-1-0.9366473318-0.97687796011.62-1-0.9524854989-0.98458530681.63-1-0.9643641242-0.98972353781.64-1-0.9732730931-0.99314902521.65-1-0.9799548198-0.99543268351.66-1-0.9849661149-0.99695512231.67-1-0.98872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u_inu_out_backwardu_out_forward

PLL_Tutorial_2tstep (h)0.01FVCO_free_oscillation10RC2KVCO5DFin0.2Fin9.8In_Phaseu_inu_pdu_lpfOut_Phaseu_out

PLL_Tutorial_3tstep (h)0.01FVCO_free_oscillation10RC2KVCO1DFin0.2Fin9.8In_Phaseu_inu_pdu_lpfOut_Phaseu_outTime_Scale29609.00810526530.4817536687-0.4741218955-0.182695868932250.4579909763-0.9053447346029608.39235310520.8994052489-0.6297339592-0.181238738832249.8411515656-0.98415834940.0129607.77660094510.9866859452-0.1557938398-0.178996262732249.2242206007-0.70016709370.0229607.1608487850.71153568150.3149313539-0.179112274832248.6071487368-0.15789607680.0329606.54509662490.1750230650.1539830474-0.181582492932247.99008416220.44260795640.0429605.9293444648-0.425779286-0.4226444481-0.183260320632247.3731747960.87978717230.0529605.3135923047-0.8701837517-0.6435992668-0.182063432246.75637085090.99263741090.0629604.6978401446-0.9949510176-0.2127281564-0.179755720632246.13949170090.73961305940.0729604.0820879845-0.75425138470.2948050728-0.179590858532245.52246755520.21380766760.0829603.4663358244-0.23649900290.2013304624-0.181962838132244.905433051-0.39085784770.0929602.85058366430.368124547-0.3673610215-0.183879304632244.2885475826-0.85129518490.129602.23483150420.8375280367-0.6505852781-0.18296189632243.6717825293-0.99792590450.1129601.61907934410.9992894729-0.2690319845-0.180623779132243.0549598335-0.77679223810.1229601.0033271840.79399040230.2680847213-0.180181738132242.4379902296-0.2692232750.1329600.38757502390.29704158740.2435496973-0.182423070432241.82099285140.33764226940.1429599.7718228638-0.3090169886-0.3090089925-0.184552934232241.20413630020.8199178420.1529599.1560707036-0.8015669812-0.6505306669-0.18393065432240.58741357230.99997412410.1629598.5403185435-0.9996841891-0.3238765636-0.181597653932239.97065174540.81157368270.1729597.9245663834-0.83059590260.2351386051-0.180886259332239.35374333180.32397887970.1829597.3088142233-0.35641188440.280036443-0.182966383732238.73679022-0.28309627380.1929596.69306206320.2486898813-0.2483756433-0.185281397832238.1199678062-0.78571017210.229596.07730990310.7624425071-0.6433696198-0.184965926632237.503290849-0.99873642620.2129595.4615577430.9961336086-0.3764460345-0.182673908132236.8865940702-0.84382706080.2229594.84580558290.86392342020.1964225113-0.181705047532236.2697532797-0.37790717160.2329594.23005342280.41437558650.3102569823-0.183595685332235.65285161380.22736102150.2429593.6143012627-0.1873813086-0.1862891817-0.186064948632235.03606874020.74873373910.2529592.9985491026-0.7203090207-0.6291342839-0.186063827432234.4194410150.99417163370.2629592.3827969425-0.9886517438-0.4259480457-0.183848475232233.80281321930.87342274750.2729591.7670447824-0.89384142690.152475332-0.182637977332233.1860462290.43083729770.2829591.1512926223-0.47070393750.3337560589-0.184313543832232.5692031808-0.170584320.2929590.53554046220.1253332276-0.1236090868-0.186903891932231.9524654116-0.70905729120.329589.91978830210.6753328037-0.6079562124-0.187220365932231.3358903988-0.98624354590.3129589.3040361420.9772681223-0.4716243901-0.185116686732230.7193352706-0.90023201770.3229588.68828398190.92023184970.1039136491-0.183684148132230.1026479643-0.48259467320.3329588.07253182180.52517463510.3501641126-0.185122137132229.4858706490.11292116130.3429587.4567796616-0.0627905135-0.0612158251-0.187798568432228.86918368520.66675747310.3529586.8410275015-0.6276913566-0.5800667501-0.188431482132228.25266488660.97492155650.3629586.2252753414-0.9620276699-0.5127615827-0.186473305732227.6361858550.92412735020.3729585.6095231813-0.94299053790.0514252755-0.184841864432227.01958378770.53300086750.3829584.9937710212-0.57757270840.3592037841-0.186023200132226.4028792138-0.05453424340.3929584.3780188611-0.0000000060.0000000058-0.18874933532225.7862488655-0.62191959380.429583.7622667010.5775726985-0.5457962948-0.189693081732225.1697898052-0.96018137850.4129583.14651454090.9429905339-0.5487012805-0.187912565632224.5533900424-0.94498285010.4229582.53076238080.9620276732-0.0042382518-0.18610862232223.9368784063-0.58187358280.4329581.91501022070.6276913660.360695585-0.187017973932223.3202534252-0.00440554050.4429581.29925806060.06279052550.0591490439-0.189756541732222.70368558040.57463843630.4529580.6835059005-0.5251746248-0.5055723758-0.191001069632222.08728980480.94200587350.4629580.0677537404-0.920231845-0.5788504343-0.189428213132221.47097222520.96267479790.4729579.4520015803-0.9772681248-0.0622702169-0.18748110232220.85455582020.62902673650.4829578.8362494202-0.67533281260.3545626238-0.188107156432220.23801707450.06371866160.4929578.2204972601-0.12533323950.1153549566-0.190820505332219.621517665-0.52501909760.529577.60474510.4707039269-0.4599164902-0.192351382632219.0051887402-0.92038598090.5129576.98899293990.8938414215-0.6026910492-0.191013557132218.3889560033-0.97708233130.5229576.37324077980.9886517456-0.1218182893-0.188955169632217.7726392084-0.67427066450.5329575.75748861960.72030902910.3408342714-0.18929085432217.1561930811-0.12321658240.5429575.14173645950.18738132050.16776657-0.191941479632216.53976804550.47317784130.5529574.5259842994-0.4143755755-0.4094396429-0.193740019932215.92350955360.89532174050.5629573.9102321393-0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