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CMOS INVERTER Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 DIGITAL GATES Fundamental Parameters Functionality Reliability, Robustness Area Performance » Speed (delay) » Power Consumption » Energy Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 The Ideal Gate Vout Ri = Ro = 0 g= Vin Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 VTC of Real Inverter Vout (V) 4.0 VTL 2.0 0.0 0.0 1.0 2.0 3.0 4.0 5.0 Vin (V) Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 The CMOS Inverter: A First Glance VDD Vin Vout CL Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 CMOS Properties Full rail-to-rail swing Symmetrical VTC Propagation delay function of load capacitance and resistance of transistors No static power dissipation Direct path current during switching Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Voltage Transfer Characteristic Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 PMOS Load Lines IDn V in = V DD -VGSp IDn = - IDp V out = VDD -VDSp V out IDp IDn IDn Vin=0 Vin=0 Vin=3 Vin=3 V DSp V DSp Vout VGSp=-2 VGSp=-5 Elettronica T A.A. 2010-2011 Vin = V DD+VGSp IDn = - IDp Inverter Vout = V DD+VDSp Digital Integrated Circuits © Prentice Hall 2003 CMOS Inverter Load Characteristics IDS,n Vin = 5 V in = 0 NMOS PMOS Vin = 4 Vin = 1 Vin = 4 Vin = 3 Vin = 2 Vin = 3 Vin = 4 Vin = 2 V in = 3 Vin = 1 Vin = 0 Vin = 5 Elettronica T A.A. 2010-2011 Vin = 2 Inverter Digital Integrated Circuits © Prentice Hall 2003 CMOS Inverter VTC NMOS off PMOS lin 5 Vou t 4 NMOS sat PMOS lin 2 3 NMOS sat PMOS sat 1 NMOS lin PMOS sat 1 Elettronica T A.A. 2010-2011 2 Inverter 3 4 NMOS lin PMOS off 5 Vin Digital Integrated Circuits © Prentice Hall 2003 Simulated VTC Vout (V) 4.0 2.0 0.0 0.0 1.0 2.0 3.0 4.0 5.0 Vin (V) Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Gate Switching Threshold 4.0 VM 3.0 2.0 1.00.1 Elettronica T A.A. 2010-2011 0.3 1.0 kp/kn Inverter 3.2 10.0 Digital Integrated Circuits © Prentice Hall 2003 Impact of process variations Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 VIH, VIL and gain VM VIH VM g V VM VIL VM DD g Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Propagation Delay Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Computing CMOS inverter delay in the quadratic model VDD Vin Vout Vout CL VDD Vdd - VTN t Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Computing CMOS inverter delay in the linear model VDD tpHL = f(Ron.CL) = 0.69 RonCL Vout ln(0.5) Vout CL Ron 1 VDD 0.5 0.36 Vin = VDD RonCL Elettronica T A.A. 2010-2011 Inverter t Digital Integrated Circuits © Prentice Hall 2003 NMOS/PMOS ratio Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Impact of Rise Time on Delay 0.35 tpHL(nsec) 0.3 0.25 0.2 0.15 Elettronica T A.A. 2010-2011 0 0.2 0.4 0.6 trise (nsec) Inverter 0.8 1 Digital Integrated Circuits © Prentice Hall 2003 Delay as a function of VDD 28 Normalized Delay 24 20 16 12 8 4 0 1.00 2.00 3.00 4.00 5.00 VDD (V) Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Power Consumption Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Where Does Power Go in CMOS? Dynamic Power Consumption » Charging and Discharging Capacitors Short Circuit Currents » Short Circuit Path between Supply Rails during Switching Leakage » Leaking diodes and transistors Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Dynamic Power Dissipation Vdd Vin Vout CL Energy/transition = CL * Vdd2 Power = Energy/transition * f = CL * Vdd2 * f Not a function of transistor sizes! Need to reduce CL, Vdd, and f to reduce power. Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Short circuit current Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Minimizing SC Power Keep the input and output fall time the same Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Leakage (static) power Sub-threshold current is one of the most Compelling issues in low-energy design Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Reverse-biased diode leakage JS=JSA JS=1-5pA/µm2 in 1.2µm CMOS JS doubles with every 90C in T Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003 Sub-threshold leakage Elettronica T A.A. 2010-2011 Inverter Digital Integrated Circuits © Prentice Hall 2003