noise_notes_set8_new

noise_notes_set8_new - ECE594I notes, M. Rodwell,...

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ECE594I notes, M. Rodwell, copyrighted ECE594I Notes set 8: Diffusion Noise Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262 fax
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ECE594I notes, M. Rodwell, copyrighted References and Citations: Devices State - Solid in Noise : Ziel der Van Physics Thermal : Kroemer and Kittel : Citations / Sources g. ngineeri ns ommunicat f rinciple cobs ozencraft ory) (introduct s Principle Signal Random Variables, Random ty, Probabili : Peebles Z. Peyton ive) comprehens (hard, Variables Random and ity Probabil : Papoulis 982 rca tanford ellman artin otes cture robabilit 1982 circa Stanford, Cover, Thomas : notes lecture theory n Informatio Design c Electroni Noise Low : er Motchenbak ng. Engineeri ions Communicat of s Principle : Jacobs & Wozencraft d f t d circuits. in Noise : Notes ns Applicatio tor Linear Semiconduc National 1982 circa Stanford, Hellman, Martin : notes lecture y Probabilit design) receiver (optical Personik & Smith noise), (device by Fukui Papers Kroemer and Kittel Peebles, Jacobs, & Wozencraft Ziel, der Van study. for references Suggested Theory n Informatio of Elements : Williams and Cover ) (! Notes App. Semi. National
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ECE594I notes, M. Rodwell, copyrighted Diffusion Noise: After van der Ziel apply. not does analysis noise diode Schottky preceding the hence emission, nic by thermio not and diffusion, carrier minority by governed is conduction diodes, PN In noise. diffusion create diffusion with associated ns fluctuatio the and diffusion, from arise currents Average w ake ill e stead gorously mitation his dress o ackground he or time the have t don' We driven. thermally is diffusion yet process, mal infinitesi the in assumed is noise Shot . satisfying fully not but short is Ziel, der van from taken , derivation The s. adjustment few a make will we instead, ; rigorously limitation this address to ) background the I (nor
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ECE594I notes, M. Rodwell, copyrighted Diffusion Noise: After van der Ziel ll t i id d id f i d ). , , ( counts ) , , ( by Index them . boxes small into divided tor semiconduc of lump a Consider Δ Δ Δ m l k z y x z y x ons. distributi velocity thermal have carriers These ). , , 1 ( & ) , , ( ions concentrat electron have ) , , 1 ( and ) , , ( boxes adjacent two The + + m l k n m l k n m l k m l k . determined be o constant t some is where , ) , , 1 ( : 1 to ) 1 ( box from electrons of Flux and , ) , , ( : ) 1 ( to box from electrons of Flux 1 1 Δ Δ Δ + = + + Δ Δ Δ = + + + k k k k a z y x m l k n a w k k z y x m l k n a w k k re eing ot ~ his rom dependen y atistica e ossings oundary electron that the i.e. noise, shot of statistics the has and that asserts Ziel der van 1 1 + + k k k k w w be. might later what determine can we if see and , 2 ~ write and bets our hedge instead us let this, of sure being Not . 2 this From t. independen lly statistica are crossings boundary 1 1 1 1 γ = + + + + k k k k k k k k w S w S
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ECE594I notes, M. Rodwell, copyrighted Diffusion Noise: After van der Ziel : flux Net [] ) , , 1 ( ) , , ( 2 1 1 z y x n a z y x x n a z y x m l k n m l k n a w w w k k k k Δ Δ Δ = Δ Δ Δ Δ = Δ Δ Δ + = = + + () . ) , , 1 ( and ) , , ( so , so ,
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This note was uploaded on 12/29/2011 for the course ECE 594C taught by Professor Madhow during the Fall '10 term at UCSB.

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noise_notes_set8_new - ECE594I notes, M. Rodwell,...

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