Lect5_Noise Model I

Lect5_Noise Model I - ECE 894 RF and mmWave Front-end...

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ECE 894 RF and mmWave Front-end Circuit Design Prof. Waleed Khalil Lecture Noise Mode l 5 1
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Equivalent Noise Model (1/2) 2 Noisy Network driven by noisy source, i s Equivalent input noise model i n Y s i s v n Noiseless Network Y s Noisy Netwrok i s ( ) ( ) 22 2 / 1 / s n sn n in out in out ss SN i i Yv i N F N ii ++ + = = = = + Noise source, i s , is uncorrelated with equiv. noise sources, v n and i n v n and i n can be correlated 2 2 1 n nc nu nc c n nu c s n s i i i Y F i = + = = +
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Equivalent Noise Model (2/2) 3 ( ) ( ) 2 2 2 22 2 Define: 4 4 4 Rewrite: , :1 1 s s n n nu u ss s cc c u cs n u csn i G kT f v R kT f i G kT f Y G jB Y G jB G GG BB R G Y YR F ≡+  + + ++  = += +
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Optimum Source Impedance 4 Optimize source admittance for minimum noise figure, F min ( ) ( ) ( ) 2 __ 2 min _ 22 min _ _ 0 , : 12 s u s opt c s opt c n u n s opt c n c c n n s s opt s s opt s F Y G B BG G R G F RG G R G G R R FF GG B B G = ⇒= = +  = + + = + ++    = + +−   Minimum noise figure not coincident with max power transfer
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Lect5_Noise Model I - ECE 894 RF and mmWave Front-end...

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