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MIT6_012F09_lec14_delays

# MIT6_012F09_lec14_delays - 6.012 Microelectronic Devices...

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6.012 - Microelectronic Devices and Circuits – Fall 2009 ********** Inverter Switching Transient Analysis + - v IN + - Pull Up Pull Down Stage Load + V q N ( v OUT ) v OUT (a) i SL ( v OUT ) [ = n i IN (v OUT )] + - + - v OUT Pull Up Stage Load + V DD i PU ( v IN, v OUT) i PD = 0 i IN ( v IN ) q N ( v OUT ) i CH Pull down off V LO ! V HI v IN = V LO i SL ( v OUT ) [ = n i IN ( v OUT )] + - + - v OUT Pull Up Pull Down Stage Load + V DD i PU ( v IN, v OUT) i PD ( v IN, v OUT ) i IN ( v IN ) q N ( v OUT ) i DCH V HI ! V LO v IN = V HI (b) (c) The generic inverter stage (a) with the non-linear charge store shown explicitly. The charging cycle (b), and the discharging cycle (c). The charge store will in general be a non-linear function of the output voltage; so too are the currents. Thus the differential equations we must solve are Charging: dq N (v OUT )/dt = i CH (v OUT ), and Discharging: dq N (v OUT )/dt = i DCH (v OUT ).

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These are in general very complicated and difficult to solve by any means. If, however,
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MIT6_012F09_lec14_delays - 6.012 Microelectronic Devices...

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