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1 Models for Hand Analysis NMOS Transistor PMOS Transistor V DSN V GSN -V TN V DSN V GSN -V TN V DSP V GSP -V TP V DSP V GSP -V TP K N =(W/L)K’ N K P =(W/L)K’ P
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2 pMOS Current model VDSP>VGSP -VTP VDSP <VGSP-VTP
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3 Channel Resistance R=
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4 Variation of resistance with Vgs
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5 LENGTHL SL/S WIDTHW SW/S THIN OXIDEt ox St ox /S DIFFUSION DOPINGNDND 1/SN D. S SUBSTRATE DOPINGNA 1/SN A. S SUPPLY VOLTAGEV DD 1/S V DD /S Linear Scaling
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Scalling Effects 6
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7 Velocity Saturation and mobility Degradation
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8 TOH’s Model for Short Channel for
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9 Secondary Effects n Subthreshold current: is the small current that flows from drain at Vgs < Vt n Punch through: If a large voltage is applied to Vds, then the depletion region of the drain can extend to the source, a punch through occurs and under these condition a large current can flow from the drain to source. n Hot carrier: As a results of scaling, device dimensions are reduced while, doping concentrations are increased, while voltages are not reduced to the same proportion, as a consequence there is an increase in electric field in the channel region while, the thickness of the gate insulating layer is thinner. Due to the acceleration of electrons by the Vds, electrons and holes gaining high speed can penetrate the gate insulator and change its characteristics. n Channel hot electrons: If the Vds is increased, then the lateral electric field is increased and the electric field accelerates the electrons near the drain with high kinetic energy they are injected into the oxide near the drain.
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10 Semiconductor Resistors Resistance R= ( l /A) = ( /t). ( l /w ) = Rsh. ( l /w ) Rsh = sheet resistance Ω / For 0.5u process: N+ diffusion : 70 Ω/ M1: 0.06 Ω/ P+ diffusion : 140 Ω/ M2: 0.06 Ω/ Polysilicon : 12 Ω/ M3: 0.03 Ω/ Polycide:2-3 Ω/ P-well: 2.5K Ω/ N-well: 1K Ω/ w current l t (A)
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11 Semiconductor Resistors Al n+ Diffusion n+ Field oxide polysilicon Polysilicon Resistor Diffusion Resistor SiO2
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12 Variations in Width and Length W eff W drawn WDWD W D 1. Width Oxide encroachment W eff = W drawn - 2W D 2. Length Lateral diffusion L D = 0.7Xj L eff = L drawn - 2L D L drawn L D L eff L D polysilicon
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13 Semiconductor Capacitors 1. Poly Capacitor: a. Poly to substrate b. Poly1 to Poly2 2. Diffusion Capacitor n+ (N D ) depletion region substrate (N A ) bottomwall capacitance sidewall capacitances
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14 Transistor Resistance : Two Components: Drain/ Sources Resistance: R D(S) = Rsh x no. of squares+ contact resistance. Channel Resistance : Depends on the region of operation: L W (D) (S) n+ (G) R S Rch R D Linear Saturation
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15 Dynamic Behavior of MOS Transistor Prentice Hall/Rabaey
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16 The Gate Capacitance Prentice Hall/Rabaey
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17 Average Gate Capacitance Most important regions in digital design: saturation and cut-off Different distributions of gate capacitance for varying operating conditions Prentice Hall/Rabaey
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18 Diffusion Capacitance Prentice Hall/Rabaey
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19 Diffusion Capacitance
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20 SPICE TRANSISTOR MODEL
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21 SPICE MODELS
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22 MAIN MOS SPICE PARAMETERS Prentice Hall/Rabaey
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23 SPICE Parameters for Parasitics Prentice Hall/Rabaey
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24 SPICE Transistors Parameters Prentice Hall/Rabaey
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25 Example
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