weak inversion in analog and digital circuits - Lund Institute of ...

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Weak inversion 10 -2 Q sc Q C PROPORTION OF SHORT-CIRCUIT CHARGE FOR STANDARD TRANSITIONS 0 3 4 5 6 7 8 9 10 normalized supply voltage vB CSEM, E. Vittoz, 2003 n = 1.6 page 24 • Short-circuit charge Q sc < 1.4% capacitor charge Q C : negligible, thus: • dynamic power P dyn ≅ fQ C V B ≅ fCV B • with static power P stat = I stat V B ≅ I 0 V B 2
Weak inversion PT d CU T 2 normalized power-delay product 10 8 6 4 2 0 POWER-DELAY PRODUCT • Definition: duty factor α = 2f Td ≤ 1 • proportion of time during which the gate is in transition. • Then, total power P = P dyn + P stat ⇒ P = v B (α/2 + e -v B /n) α=1 0.5 0.2 2 4 6 8 10 normalized supply voltage vB 0.05 0.03 0.01 0.003 12 CSEM, E. Vittoz, 2003 2 CUT Td n =1.6 • P dyn dominates for large α ⇒ min. V B for min. PT d 0.1 • P stat dominates for small α ⇒ increase V B to increase I on /I off 2 page 25
Page 1 and 2: Weak inversion • Behaviour and mo
Page 3 and 4: Weak inversion • Given by: V G -V
Page 5 and 6: Weak inversion -Q i β/C ox Drain c
Page 7 and 8: I D /I F 1 Weak inversion I D ~ 1-e
Page 9 and 10: Weak inversion I F , R I S CONTINUO
Page 11 and 12: Weak inversion SUMMARY OF FEATURES
Page 13 and 14: V D2 Weak inversion V DS2 LOW-VOLTA
Page 15 and 16: Weak inversion CURRENT GENERATION W
Page 17 and 18: GN IN Weak inversion Gk simple exam
Page 19 and 20: Weak inversion BASIC CONSIDERATIONS
Page 21 and 22: Weak inversion STATIC CURRENT AT LO
Page 23: Weak inversion 1 Td T0 0.1 DELAY TI
Page 27 and 28: Weak inversion MAXIMUM SPEED CSEM,
Page 29 and 30: Weak inversion NUMERICAL RESULTS
Page 31 and 32: Weak inversion SYSTEM ARCHITECTURE
Page 33: Weak inversion REFERENCES CSEM, E.

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