594a_notes_set_8

594a_notes_set_8 - ECE145C/218C notes M Rodwell copyrighted...

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ECE145C /218C notes, M. Rodwell, copyrighted 2007 ECE145C / 218C Notes set 8: Electrical device noise models. Mark Rodwell University of California, Santa Barbara [email protected] 805-893-3244, 805-893-3262 fax
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ECE145C /218C notes, M. Rodwell, copyrighted 2007 Topics Math: distributions, random variables, expectations, pairs of RV, joint distributions, mean, variance, covariance and correlations. Random processes, description, stationarity, ergodicity, correlation functions, autocorrelation function, power spectral density. Noise models of devices: thermal and "shot" noise. Models of resistors, diodes, transistors, antennas. Circuit noise analysis: network representation. Solution. Total output noise. Total input noise. 2 generator model. En/In model. Noise figure, noise temperature. Signal / noise ratio.
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ECE145C /218C notes, M. Rodwell, copyrighted 2007 Thermal Noise R R In En R kT df I I d kTR df E E d kT hf kT hf hf hf R df I I d kT hf hf hf R df E E d n n n n n n n n 4 4 become these For 1 ) / exp( 2 * 4 1 ) / exp( 2 * 4 * * * * = = << + = + = Available Power Frequency hF=kT kT
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ECE145C /218C notes, M. Rodwell, copyrighted 2007 Available Thermal Noise Power law. this follows bias) (no m equilibriu mal under ther t compononen Any power. noise available equal have resistors All hence power, noise available) (the maximum the is 4 or 4 that Given 2 / is load rough current th load, matched With 2 / is load across voltage load, matched With . generator to matched load : sfer power tran Maximum , * * N N kT df P d P kT df P d R kT df I I d kTR df E E d I E R R noise available load load n n n n = = = = R En R R In R
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ECE145C /218C notes, M. Rodwell, copyrighted 2007 Rough Argument for Thermal Noise Expression . be must bandwidth this in power available total the hence , )) 2 cos( & ) 2 sin( ( freedom of degrees two has second, 1 for observed bandwidth, Hz 1 of filter A power circuit heat : noise thermal heat power circuit : n dissipatio resistor via the obtained is m equilibriu Thermal . 2 / energy expected have must reservoir a with m equilibriu at thermal system a in freedom of degree Each f kT π f π f kT o o Δ E N R LC
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ECE145C /218C notes, M. Rodwell, copyrighted 2007 Noise from any impedance under thermal equilibrium m. equilibriu thermal in NOT are devices tor semiconduc Biased antennas. of n calculatio noise quick allows This networks passive complex of n calculatio noise quick allows This amics. thermodyn of law 2 the from follows This )
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This note was uploaded on 08/06/2008 for the course ECE 145 taught by Professor Rodwell during the Fall '07 term at UCSB.

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594a_notes_set_8 - ECE145C/218C notes M Rodwell copyrighted...

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