7.6.4 Linearity of the CMOS Differential Pair

Chapter 7.6.4 Linearity of the CMOS Differential Pair

Radio Frequency Integrated Circuit Design Second Edition Book
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Radio Frequency Integrated Circuit Design Second Edition Book

  • 7.6 Differential Amplifiers 219where the variable K gathers the process constants and transistor size as oxWKCLµæö=ç÷èø (7.128)7.6.4  Linearity of the CMOS Differential PairThe equation for current can be expressed as a power series by using the binomial expansion: 1/ 22311(1)1...2 816xxxx-= - -- (7.129)where ox2222oo()44CWKxvvILIµæö==ç÷èø (7.130)As a result, iD1 can be expanded as 2o2o21/ 2231oo222oo(1)1...22228128DIvIvKKiI KxI KvvIIæöæö=+-=+---ç÷ç÷èøèø (7.131)This simplifies to oo3122o...2216DI KIKKivvI=+-- (7.132)where Io is given by µ==-21ox2()oDGStWIICvvL (7.133)Finally, vIP3 can be expressed as µ=====-1oIP33ox442222444()3333316ooGStoI KkII LvvvkKC WKKI (7.134)or ===IP322443.26633oLLIvvvK (7.135)