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Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Lecture 2,*,Lecture 2:Voltage and Power Transportation,Richard Chi-Hsi Li,李缉熙,Email :,1.Voltage Delivered from a Source to a Load,o General Expression of Voltage Delivered from a Source to a Load,o Additional jitter or Distortion in a Digital Circuit Block,2.Power Delivered from a Source to a Load,o General Expression of Power Delivered from a Source,to a Load,o Power Instability,o Additional Power Loss,o Additional Distortion,o Additional interference,3.Impedance Conjugate Matching,o Maximization of Power Transportation,o Power Transportation without Phase Shift,o Impedance Matching Network,o Necessity of Impedance Matching,4.Additional Effect of Impedance Matching,o Voltage Pumped up by Impedance Matching,o Power Measurement,Lecture 2,1,1.Voltage delivered from a source to a load,o General expression of voltage delivered from source to load,Figure 1 Voltage delivered from a source to a load,S,L,Z,o,R,S,X,S,Z,S,Source,P,S,v,S,X,L,Z,L,Load,R,L,Lecture 2,2,t,l,(,Delay time,=T,d,),Source,Load,Figure 2 Voltages bouncing back and forth arrive at load when,t,=,T,d,.,Note:,k,v,=,R,L,/(,Z,S,+,Z,L,),Voltage delivered from,Source:,Voltage delivered from,Source:,-12,T,d,-11,T,d,Voltage delivered from,Source:,Voltage delivered from,Source:,-10,T,d,-9,T,d,-8,T,d,2,T,d,1,T,d,-1,T,d,0,-3,T,d,-2,T,d,-5,T,d,-4,T,d,-7,T,d,-6,T,d,Voltage delivered from,Source:,Voltage delivered from,source,:,Voltage delivered from,Source:,Voltage arrived at,R,L,Lecture 2,3,Lecture 2,4,o Additional Jitter or Distortion in a Digital Circuit Block,Lecture 2,5,Table 1 Additional distortion and additional jitter in voltage transportation when,f,=3.86,GHz,S,%,L,%,D,%,f,GHz,T,ns,Jitter,%,Jitter,ps,00 3.86 0.259,0.00 0,50 3.860.259,0.00 0,100 3.860.259,0.00 0,200 3.860.259,0.00 0,500 3.860.259,0.00 0,053.860.259,0.00 0,553.860.259,1053.860.259,2053.860.259,5053.860.259,0103.860.259,0.00 0,5103.860.259,10103.860.259,20103.860.259,50103.860.259,0203.860.259,0.00 0,5203.860.259,10203.860.259,20203.860.259,50203.860.259,0503.860.259,0.00 0,5503.860.259,10503.860.259,20503.860.259,50503.860.259,Lecture 2,6,and,then,1)when,and,then,2)when,and,then,3)when,The voltage reflection becomes pernicious.,The voltage reflection seems not too harmful.,The voltage reflection is horrible!,Lecture 2,7,2.Power delivered from a source to a load,o General expression of power delivered from source to load,Figure 2 Power delivered from a source to a load,S,L,Z,o,R,S,X,S,Z,S,Source,P,S,v,S,X,L,Z,L,Load,R,L,Lecture 2,8,t,l,(,Delay time,=T,d,),Source,Load,Figure 4 Powers bounce forth and back and arrive at load when,t,=,T,d,.,(Note:,k,p,=R,L,/|Z,S,+Z,L,|,2,),Power delivered from source:,Power delivered from source:,-12,T,d,-11,T,d,Power delivered from source:,Power delivered from source:,-10,T,d,-9,T,d,-8,T,d,2,T,d,1,T,d,-1,T,d,0,-3,T,d,-2,T,d,-5,T,d,-4,T,d,-7,T,d,-6,T,d,Power delivered from source:,Power delivered from source:,Power delivered from source:,Power arrived at,R,L,Lecture 2,9,o Power Instability,Lecture 2,10,o Additional Power Loss,Lecture 2,11,Table 2 Additional power loss due to the unmatched case when,=-,30,dBm,.,S,%,L,%,dB,m,dB,m,dB,m,000.0000,-30,-infinite,-30,500.0000,-30,-infinite,-30,1000.0000,-30,-infinite,-30,2000.0000,-30,-infinite,-30,5000.0000,-30,-infinite,-30,050.0500,-30,-43.01,-30.22,550.0476,-30,-43.22,-30.21,1050.0452,-30,-43.45,-30.20,2050.0404,-30,-43.94,-30.18,5050.0256,-30,-45.91,-30.11,0100.1000,-30,-40.00,-30.46,5100.0955,-30,-40.20,-30.44,10100.0909,-30,-40.41,-30.41,20100.0816,-30,-40.88,-30.37,50100.0526,-30,-49.79,-30.23,0200.2000,-30,-36.99,-30.97,5200.1919,-30,-37.17,-30.93,10200.1837,-30,-37.36,-30.88,20200.1667,-30,-37.78,-30.79,50200.1111,-30,-354,-30.51,0500.5000,-30,-33.01,-33.01,5500.4872,-30,-33.12,-39.90,10500.4737,-30,-33.25,-39.79,20500.4444,-30,-33.52,-39.55,50500.3333,-30,-34.77,-31.76,Lecture 2,12,o Additional Distortion,Lecture 2,13,Table 3 Additional distortion in power transportation,S,%,L,%,D,p,%,00,0.00,50,0.00,100,0.00,200,0.00,500,0.00,05,29.36,55,21.82,105,21.27,205,20.10,505,16.01,010,31.62,510,30.90,1010,30.15,2010,28.57,5010,29.94,020,44.72,520,43.81,1020,49.86,2020,40.82,5020,33.33,050,70.71,550,68.00,1050,68.82,2050,66.67,5050,57.74,Lecture 2,14,From Table 3 it can be seen that,In cases where,L,=,0,there is no additional distortion.,On the contrary,in the cases of,L,0,the additional distortion is appreciable!,The additional distortion is more sensitive to the value of,L,than to the value of,S,For given value of,L,the additional distortion is somewhat reduced,as the value of,S,is increased.,For given value of,S,the additional distortion is somewhat increased,as the value of,L,is increased.,The highest value of the additional distortion in Table 9.3 is,70.71%,when,S,=0,and,L,=50%,.,Lecture 2,15,o Additional Interference,Lecture 2,16,Table,4,Calculated,ratio of signal to interference,as the refle
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