EEE6323S12-HW4-sol

# 05 for memory arrays estimate dynamic power

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and an activity factor = 0.05 for memory arrays. Estimate dynamic power consumption per MHz. Neglect wire capacitance and short-circuit current. In 90nm process, λ =0.05μm ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 9 log 9 2 1 10 20% 10 0.05 2 200 1 10 80% 4 0.05 2 320 0.1 200 0.05 320 1.0 36 ic memory dynamic C m fF m nF C m fF m nF P f mW MHz λ μ λ μ λ μ λ μ = × × = = × × = = × + × × × = Problem 3 The figure below shows two cases with waveforms “a” and “b” applied to the circuit. Assume the capacitor C L is initially discharged and the output time constant is very small. For each case, find the energy characteristics at time t 1 : 1. Energy stored on the capacitor C L . 2. Energy dissipated in the switching transistor. 3. Total energy supplied by node b. (Note: assume short circuit and static power dissipation are negligible) a b out C L V 0 b V 0 a V 0 V 0 b a Case 1 Case 2 time time time time t 1 t 1 Fig. 1. Proposed schemes for energy comparison.

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Case 1 5.1 Energy stored on the capacitor C L (t0 is the time point where signal “a” toggles) 1 1 1 0 0 0 0 2 1 2 L t t t out C VDD OUT VDD OUT L OUT t t VDD L OUT OUT L DD dV E i V dt i V dt C V dt dt C V dV C V = = = = = 5.2 Energy dissipated in the switching transistor 1 1 1 0 0 0 0 2 ( ) ( ) ( ) ( ) 1 2 t t t out Dis VDD DD OUT VDD DD OUT L DD OUT t t VDD L DD OUT OUT L DD dV E i V V dt i V V dt C V V dt dt C V V dV C V = = = = =
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