# lec2lp - ELEC 5970-001/6970-001(Fall 2005) Special Topics...

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8/23-25/05 ELEC5970-001/6970-001 Lecture 2 1 ELEC 5970-001/6970-001(Fall 2005) Special Topics in Electrical Engineering Low-Power Design of Electronic Circuits Power Consumption in a CMOS Circuit Vishwani D. Agrawal James J. Danaher Professor Department of Electrical and Computer Engineering Auburn University http://www.eng.auburn.edu/~vagrawal vagrawal@eng.auburn.edu

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8/23-25/05 ELEC5970-001/6970-001 Lecture 2 2 Class Projects Study of leakage dynamic power in nanometer devices Low leakage technologies Charge recovery and adiabatic switching circuits Simulation-based power estimation tool Transistor-sizing for low power Logic and flip-flop design for low power Low power clock distribution Low power arithmetic circuits Low power memory design Benchmarking of low power microprocessors Low power system design
8/23-25/05 ELEC5970-001/6970-001 Lecture 2 3 Components of Power Dynamic Signal transitions Logic activity Glitches Short-circuit Static Leakage P total = P dyn + P stat P tran + P sc + P stat

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8/23-25/05 ELEC5970-001/6970-001 Lecture 2 4 Power of a Transition: P tran V DD DD Ground Ground C L R on R=large v i (t) v o (t) i c (t)
8/23-25/05 ELEC5970-001/6970-001 Lecture 2 5 Charging of a Capacitor V C R i(t) v(t) Charge on capacitor, q(t) = C v(t) Current, i(t) = dq(t)/dt = C dv(t)/dt t = 0

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8/23-25/05 ELEC5970-001/6970-001 Lecture 2 6 i(t) = C dv(t)/dt = [ V – v(t) ] / R dv(t) V – v(t) ─── = ───── dt RC dv(t) dt ───── = ───── V – v(t) RC -t ln [ V – v(t )] = ── + A RC Initial condition, t = 0, v(t) = 0 → A = ln V -t v(t) = V [ 1 – exp(───) ] RC
8/23-25/05 ELEC5970-001/6970-001 Lecture 2 7 -t v(t) = V [ 1 – exp( ── ) ] RC dv(t) V -t i(t) = C ─── = ── exp( ── ) dt R RC

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8/23-25/05 ELEC5970-001/6970-001 Lecture 2 8 Total Energy Per Charging Transition from Power Supply ∞ V 2 -t E trans = ∫ V i(t) dt = ── exp( ── ) dt 0 0 R RC = CV 2
8/23-25/05 ELEC5970-001/6970-001 Lecture 2 9 Energy Dissipated per Transition in Resistance V 2 -2t R i 2 (t) dt = R ── ∫ exp( ── ) dt 0 R 2 0 RC 1 = CV 2 2

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## This note was uploaded on 09/17/2011 for the course ELEC 6970 taught by Professor Staff during the Spring '08 term at Auburn University.

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lec2lp - ELEC 5970-001/6970-001(Fall 2005) Special Topics...

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