noise_notes_set6

noise_notes_set6 - ECE594I notes M Rodwell copyrighted...

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Unformatted text preview: ECE594I notes, M. Rodwell, copyrighted ECE594I Notes set 6: Thermal Noise Mark Rodwell University of California, Santa Barbara [email protected] 805-893-3244, 805-893-3262 fax 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 ECE594I notes, M. Rodwell, copyrighted Boltzmann Law { } { } ) ( ) ( p / ) ( exp ) ( ) ( / exp ) ln( But 2 1 1 1 1 = = = = R R R R E S E S k E S E g P k S g S g k { } ) ( ut exp / ) ( exp ) ( ) ( 1 2 2 2 1 R R R E S k k E S E g P : enough is order - 1 and small, are es deriviativ the big, is reservoir the If ... ) ( ... ) ( ) ( ) ( But st 1 1 1 = = R R R R T E S O E E S E S = kT P P 1 2 2 1 exp ) ( ) ( not are states because differ These Energy. of on distributi y probabilit not the state, particular a in being ) 1 ( freedom of degree 1 with system- sub a of probabilty the is this : Important = g energy. in d distribute uniformly ECE594I notes, M. Rodwell, copyrighted Partition Function s S then , states allowed has system the If = i kT P ) / exp( ) ( = = s i kT s E Z Z ) / ) ( exp( function partition where ECE594I notes, M. Rodwell, copyrighted Background: Harmonic Oscillator scillator armonic equency ode hotons f f at oscillator harmonic frequency at mode a in Photons ECE594I notes, M. Rodwell, copyrighted ECE594I notes, M....
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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_set6 - ECE594I notes M Rodwell copyrighted...

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