V tn v h v tn r onn c ln 4 5 1 5 1 2 5 1 129 r onn c

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V TN V H - V TN = R onn C ln 4 5 - 1 5 + 0 - 1 + 2 5 - 1 = 1.29 R onn C t PHL = 1.29 0.25 x 10 - 12 ( 29 2 1 25 x 10 - 6 ( 29 5 - 1 ( 29 = 1.61 ns | t PLH = t PHL | t P = t PHL + t PLH 2 = 1.61 ns P = CV DD 2 f = 0.25 pF ( 29 5 2 ( 29 100 MHz ( 29 = 0.625 mW | PDP = 0.625 mW 1.61 ns ( 29 = 1.01 pJ 7.38 Since the operating frequency is not specified in part (a), we can calculate a normalized value per MHz of switching frequency. The best case PDP is then found in part (b). a ( 29 t PHL = R onn C ln 4 V H - V TN V H + V L - 1 + 2 V TN V H - V TN = R onn C ln 4 3.3 - 0.75 3.3 + 0 - 1 + 2 0.75 ( 29 3.3 - 0.75 = 1.39 R onn C t PHL = 1.39 0.2 x 10 - 12 ( 29 2 1 25 x 10 - 6 ( 29 3.3 - 0.75 ( 29 = 2.18 ns | t PLH = 1.39 R onp C = 1.39 0.2 x 10 - 12 ( 29 5 1 10 x 10 - 6 ( 29 3.3 - 0.75 ( 29 = 2.18 ns t P = t PHL + t PLH 2 = 2.18 ns | P f = CV DD 2 = 0.20 pF ( 29 3.3 2 ( 29 10 6 ( 29 = 2.18 m W MHz PDP f = 2.18 m W MHz 2.18 ns ( 29 = 4.75 fJ MHz b ( 29 f max 2245 1 t r + t f = 1 2 t PHL + 2 t PLH = 1 4 t P = 115 MHz | PDP = 4.75 fJ MHz 115 MHz ( 29 = 0.547 pJ 7.39 Since the operating frequency is not specified in part (a), we can calculate a normalized value per MHz of switching frequency. The best case PDP is then found in part (b).
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7-226 t PHL = R onn C ln 4 V H - V TN V H + V L - 1 + 2 V TN V H - V TN = R onn C ln 4 2.5 - 0.6 2.5 + 0  - 1 + 2 0.6 ( 29 2.5 - 0.6 = 1.35 R onn C t PHL = 1.35 0.15 x 10 - 12 ( 29 2 1 25 x 10 - 6 ( 29 2.5 - 0.6 ( 29 = 2.13 ns | Symmetrical design - t PLH = t PHL t P = t PHL + t PLH 2 = 2.13 ns | P f = CV DD 2 = 0.15 pF ( 29 2.5 2 ( 29 10 6 ( 29 = 0.938 m W MHz PDP f = 0.938 m W MHz 2.13 ns ( 29 = 2.00 fJ MHz b ( 29 f max 2245 1 t r + t f = 1 2 t PHL + 2 t PLH = 1 4 t P = 117 MHz | PDP = 2.00 fJ MHz 117 MHz ( 29 = 0.234 pJ 7.40 *PROBLEM 7.41 - INVERTER PDP VDD 1 0 DC 5 VIN 2 0 PULSE (0 5 0 0.1N 0.1N 25N 50N) * MN1 3 2 0 0 MOSN W=4U L=2U AS=16P AD=16P MP1 3 2 1 1 MOSP W=4U L=2U AS=16P AD=16P C1 3 0 200fF *AS=4UM*W - AD=4UM*W * MN2 4 2 0 0 MOSN W=8U L=2U AS=32P AD=32P MP2 4 2 1 1 MOSP W=8U L=2U AS=32P AD=32P C2 4 0 200fF * MN3 5 2 0 0 MOSN W=16U L=2U AS=64P AD=64P MP3 5 2 1 1 MOSP W=16U L=2U AS=64P AD=64P C3 5 0 200fF * MN4 6 2 0 0 MOSN W=32U L=2U AS=128P AD=128P MP4 6 2 1 1 MOSP W=32U L=2U AS=128P AD=128P C4 6 0 200fF * MN5 7 2 0 0 MOSN W=64U L=2U AS=256P AD=256P MP5 7 2 1 1 MOSP W=64U L=2U AS=256P AD=256P C5 7 0 200fF * MN6 8 2 0 0 MOSN W=128U L=2U AS=512P AD=512P MP6 8 2 1 1 MOSP W=128U L=2U AS=512P AD=512P C6 8 0 200fF * MN7 9 2 0 0 MOSN W=256U L=2U AS=1024P AD=1024P MP7 9 2 1 1 MOSP W=256U L=2U AS=1024P AD=1024P C7 9 0 200fF * MN8 10 2 0 0 MOSN W=512U L=2U AS=2048P AD=2048P MP8 10 2 1 1 MOSP W=512U L=2U AS=2048P AD=2048P C8 10 0 200fF * MN9 11 2 0 0 MOSN W=1024U L=2U AS=4096P AD=4096P
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