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有一些场合需要一些小的输入电阻#xff08;电流放大器#xff09; 大信号分析 − W h e n V i n ≥ V B − V T H ∙ M 1 i s o f f , V o u t V D D − F o r L o w e r V i n I d 1 2 μ n C o x W L ( V…模拟集成电路(5)----单级放大器共栅级
有一些场合需要一些小的输入电阻电流放大器 大信号分析 − W h e n V i n ≥ V B − V T H ∙ M 1 i s o f f , V o u t V D D − F o r L o w e r V i n I d 1 2 μ n C o x W L ( V B − V i n − V T H ) 2 V o u t V D D − 1 2 μ n C o x W L ( V B − V i n − V T H ) 2 ⋅ R D \begin{aligned} -\mathrm{~When~}V_{in}\geq V_B-V_{TH} \\ \bullet\mathrm{M}_1\mathrm{~is~off},V_{out}V_{DD} \\ -\mathrm{~For~Lower~}V_{in} \\ I_{d}\frac{1}{2}\mu_{n}C_{ox}\frac{W}{L}(V_{B}-V_{in}-V_{TH})^{2} \\ V_{out}V_{DD}-\frac{1}{2}\mu_{n}C_{ox}\frac{W}{L}(V_{B}-V_{in}-V_{TH})^{2}\cdot R_{D} \end{aligned} − When Vin≥VB−VTH∙M1 is off,VoutVDD− For Lower VinId21μnCoxLW(VB−Vin−VTH)2VoutVDD−21μnCoxLW(VB−Vin−VTH)2⋅RD − When V i n V i n 1 , M 1 enters triode region V D D − 1 2 μ n C o x W L ( V B − V i n 1 − V T H ) 2 ⋅ R D V B − V T H \begin{aligned}-\text{ When }V_{in}V_{in1},\text{M}_1\text{ enters triode region}\\V_{DD}-\frac12\mu_nC_{ox}\frac{W}L(V_B-V_{in1}-V_{TH})^2\cdot R_DV_B-V_{TH}\end{aligned} − When VinVin1,M1 enters triode regionVDD−21μnCoxLW(VB−Vin1−VTH)2⋅RDVB−VTH
大信号特性图 求增益 V o u t V D D − 1 2 μ n C o x W L ( V B − V i n − V T H ) 2 R D ∂ V o u t ∂ V i n − μ n C o x W L ( V B − V i n − V T H ) ( − 1 − ∂ V T H ∂ V i n ) R D \begin{aligned}V_{out}V_{DD}-\frac{1}{2}\mu_{n}C_{ox}\frac{W}{L}(V_{B}-V_{in}-V_{TH})^{2}R_{D}\\\frac{\partial V_{out}}{\partial V_{in}}-\mu_{n}C_{ox}\frac{W}{L}(V_{B}-V_{in}-V_{TH})(-1-\frac{\partial V_{TH}}{\partial V_{in}})R_{D}\end{aligned} VoutVDD−21μnCoxLW(VB−Vin−VTH)2RD∂Vin∂Vout−μnCoxLW(VB−Vin−VTH)(−1−∂Vin∂VTH)RD ∵ ∂ V T H / ∂ V i n ∂ V T H / ∂ V S B η , A ν ∂ V o u t ∂ V i n μ n C o x W L ( V B − V i n − V T H ) ( 1 η ) R D \because\quad\partial V_{TH}/\partial V_{in}\partial V_{TH}/\partial V_{SB}\eta,\\A_{\nu}\frac{\partial V_{out}}{\partial V_{in}}\mu_{n}C_{ox}\frac{W}{L}(V_{B}-V_{in}-V_{TH})(1\eta)R_{D} ∵∂VTH/∂Vin∂VTH/∂VSBη,Aν∂Vin∂VoutμnCoxLW(VB−Vin−VTH)(1η)RD A ν g m ( 1 η ) R D A_\nug_m(1\eta)R_D Aνgm(1η)RD
小信号分析 ν b s − ν i n ν 1 − ν i n \nu_{bs}-\nu_{in}\quad\nu_{1}-\nu_{in} νbs−νinν1−νin ν o u t − [ g m ν 1 g m b ν b s ( ν o u t − ν i n ) / r o ] ⋅ R D \nu_{out}-[g_{m}\nu_{1}g_{mb}\nu_{bs}(\nu_{out}-\nu_{in})/r_{o}]\cdot R_{D} νout−[gmν1gmbνbs(νout−νin)/ro]⋅RD A ν ν o u t ν i n g m g m b 1 / r o 1 R D / r o ⋅ R D ≈ ( g m g m b ) ⋅ R D A_{\nu}\frac{\nu_{out}}{\nu_{in}}\frac{g_{m}g_{mb}1/r_{o}}{1R_{D}/r_{o}}\cdot R_{D}\approx(g_{m}g_{mb})\cdot R_{D} Aννinνout1RD/rogmgmb1/ro⋅RD≈(gmgmb)⋅RD
如果输入电流源有无限的阻抗 R s R_s Rs ν 1 − [ ν i n − ( ν o u t / R D ) ⋅ R S ) ν b s ν 1 \nu_1-[\nu_{in}-(\nu_{out}/R_D)\cdot R_S)\quad\nu_{bs}\nu_1 ν1−[νin−(νout/RD)⋅RS)νbsν1 ν o u t − [ g m ν 1 ( ν o u t ν 1 ) / r o g m b ν b s ] ⋅ R D A ν ν o u t ν i n g m g m b 1 / r o 1 ( g m g m b ) R S ( R D R S ) / r o ⋅ R D \nu_{out}-[g_{m}\nu_{1}(\nu_{out}\nu_{1})/r_{o}g_{mb}\nu_{bs}]\cdot R_{D}\\A_{\nu}\frac{\nu_{out}}{\nu_{in}}\frac{g_{m}g_{mb}1/r_{o}}{1(g_{m}g_{mb})R_{S}(R_{D}R_{S})/r_{o}}\cdot R_{D} νout−[gmν1(νoutν1)/rogmbνbs]⋅RDAννinνout1(gmgmb)RS(RDRS)/rogmgmb1/ro⋅RD
CG的输入电阻 ν 1 − ν x ν b s − ν x \nu_1-\nu_x\quad\nu_{bs}-\nu_x ν1−νxνbs−νx i x R D r o ( i x − ( g m g m b ) ν x ν x i_{x}R_{D}r_{o}(i_{x}-(g_{m}g_{mb})\nu_{x}\nu_{x} ixRDro(ix−(gmgmb)νxνx r i n ν x i x R D / r o 1 1 / r o ( g m g m b ) ≈ 1 g m g m b r_{in}\frac{\nu_{x}}{i_{x}}\frac{R_{D}/r_{o}1}{1/r_{o}(g_{m}g_{mb})}\approx\frac{1}{g_{m}g_{mb}} rinixνx1/ro(gmgmb)RD/ro1≈gmgmb1 R D R_D RD的影响 r i n ν x i x R D / r o 1 1 / r o ( g m g m b ) r_{in}\frac{\nu_{x}}{i_{x}}\frac{R_{D}/r_{o}1}{1/r_{o}(g_{m}g_{mb})} rinixνx1/ro(gmgmb)RD/ro1
输出电阻 $$ \begin{aligned}r_{out}r_{OD}\left\|R_{D}\right\|\\\{r_{O}[1(g_{m}g_{mb})r_{O}]\cdot R_{S}\}\|R_{D}\end{aligned} $$ − i f R s 0 ⟶ r o u t r O ∥ R D ∥ \begin{array}{cc}{-\mathrm{if}R_{s}0}\\\\{\longrightarrow}{r_{out}r_{O}\left\|R_{D}\right\|}\\\end{array} −ifRs0⟶routrO∥RD∥
