5.5.7 Noise analysis of a CE amplifier

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Presentation transcript:

5.5.7 Noise analysis of a CE amplifier 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit 5.5.7 Noise analysis of a CE amplifier VCC RC RS vs RE VBB rp io hfe ip ro rb RE RC B E C icsh vs RS ibf ibsh ip vet vbt vst vct ro   hgygygygo

Our final aim is to find and minimize the total input noise vn s. 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit Our final aim is to find and minimize the total input noise vn s. rb vbt B C hfe ip ip io icsh rp vst ibf ibsh RS E vet vct vs vn s ? RE RC hgygygygo Let us first find vn s by applying superposition.

1+hfe RE/(RE +RS+rb+rp) 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit 1) Signal gain As for vs, vst, vbt, and vet. rb vbt B C hfe ip ip io rp vst RS E vet vs RE RC hgygygygo As  = Gs + Gs bs fwd AOL 1+AOLb _______ io vs ___ As = 1 RS+rb+rp+RE ___________ -hfe 1+hfe RE/(RE +RS+rb+rp) ____________________ + 0

1+hfe RE/(RE +RS+rb+rp) 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit 2) Noise gain Abf for ibf and ibsh. rb B C hfe ip ip io rp ibf ibsh RS E vs RE RC hgygygygo Abf  = Gbf + Gbf bbf fwd AOL 1+AOLb _______ io ibf ___ Abf = RS+rb+RE RS+rb+RE +rp ___________ hfe 1+hfe RE/(RE +RS+rb+rp) ____________________ + 0

1+hfe RE/(RE +RS+rb+rp) 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit 3) Noise gain Acsh for icsh. rb B C hfe ip ip io icsh rp RS E vs RE RC hgygygygo Acsh  = Gcsh + Gcsh bcsh fwd AOL 1+AOLb _______ io icsh ___ Acsh = RE RE +RS+rb+rp - ___________ hfe 1+hfe RE/(RE +RS+rb+rp) ____________________ - 1

___ ___ io vct Act  = Dct 1 Act = - RC 4) Noise gain Act for vct. rb 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit 4) Noise gain Act for vct. rb B C hfe ip ip rp RS E io vs vct /RC RE RC hgygygygo Act  = Dct io vct ___ Act = - 1 RC ___

__________ _______ _____ ________ _____ RSbE = RS +rb+RE 5. SOURCES OF ERRORS. 5.5. Fundamentals of low-noise design. 5.5.7. Example circuit 5) Total input noise vs. time, vn s. rb B C hfe ip ip io icsh rp RS ibf ibsh vn s E vs RE RC RSbE = RS +rb+RE hgygygygo vn s(t) = vst +vbt +vet (ibf +ibsh) Abf As __________ + icsh Acsh _______ vct Act _____ vn s2( f ) = 4kT RSbE+(ibf 2+ibsh2) RSbE2 (RSbE+rp)2 hfe2 ________ + icsh2 + 4kT 1 RC As2 _____  0