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

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Weak inversion EXTRACTION OF U T AND CURRENT REFERENCE V+ T6 source sink V- T 5 I 1 T3 T 1 T4≡T3 I2 T2≡KT1 R V R • For T 1 and T 2 in weak inversion: CSEM, E. Vittoz, 2003 I 2 slope K Q (unstable) V R = RI 2 =U T lnK • Self-starting if leakage of T 2 larger than that of T 1 . mirror T 1 -T 2 mirror T 3 -T 4 [1] P(stable) I 1 page 14
Weak inversion CURRENT GENERATION WITHOUT RESISTOR • Resistor replaced by transistor T 8 in conduction [10]: • T6 =T3 =T4 =T7 and T5 = T1 • T8 and T9 in strong inversion with β 8 =Aβ 9 (A»1 to have T 8 in conduction) • T2 and T1 in weak inversion with β 2 = Kβ 1 yields: 2 I = 2nβ8UT.Aln2K = IS8.Aln2K CSEM, E. Vittoz, 2003 I I T6 T5 T3 T1 V- V R T4 I T2 page 15 • Reference current I proportional to specific current IS8 • Useful to bias transistors at inversion coef.IC independently of process. • If mobility ~ T -2 , then compensation by U T : I ~ I S independent of T 2 V+ T8 I T7 T9
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: V D2 Weak inversion V DS2 LOW-VOLTA
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 and 24: Weak inversion 1 Td T0 0.1 DELAY TI
Page 25 and 26: Weak inversion PT d CU T 2 normaliz
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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