Average Propagation Delay CMOS Calculator

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CMOS Time Characteristics

✖Time for High to Low Transition of Output is defined as the time required for the output voltage to fall from V_OH to the V_50%s level.ⓘ Time for High to Low Transition of Output [ζ_PHL]			+10% -10%
✖Time for Low to High Transition of Output is defined as the time required for the output voltage to rise from VOL to the V50% level.ⓘ Time for Low to High Transition of Output [ζ_PLH]			+10% -10%

✖Average Propagation Delay is defined as the average time required for the input signal to propagate through the inverter.ⓘ Average Propagation Delay CMOS [ζ_P]

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Formula

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Average Propagation Delay CMOS

Formula

`"ζ"_{"P"} = ("ζ"_{"PHL"}+"ζ"_{"PLH"})/2`

Example

`"0.004236ns"=("0.00229ns"+"0.006182ns")/2`

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Average Propagation Delay CMOS Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2
ζ_P = (ζ_PHL+ζ_PLH)/2
This formula uses 3 Variables

Variables Used

Average Propagation Delay - (Measured in Second) - Average Propagation Delay is defined as the average time required for the input signal to propagate through the inverter.
Time for High to Low Transition of Output - (Measured in Second) - Time for High to Low Transition of Output is defined as the time required for the output voltage to fall from V_OH to the V_50%s level.
Time for Low to High Transition of Output - (Measured in Second) - Time for Low to High Transition of Output is defined as the time required for the output voltage to rise from VOL to the V50% level.

STEP 1: Convert Input(s) to Base Unit

Time for High to Low Transition of Output: 0.00229 Nanosecond --> 2.29E-12 Second (Check conversion here)
Time for Low to High Transition of Output: 0.006182 Nanosecond --> 6.182E-12 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ_P = (ζ_PHL+ζ_PLH)/2 --> (2.29E-12+6.182E-12)/2

Evaluating ... ...

ζ_P = 4.236E-12

STEP 3: Convert Result to Output's Unit

4.236E-12 Second -->0.004236 Nanosecond (Check conversion here)

FINAL ANSWER

0.004236 Nanosecond <-- Average Propagation Delay

(Calculation completed in 00.004 seconds)

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Created by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

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< 17 CMOS Inverters Calculators

Propagation Delay for Low to High Output Transition CMOS

Go Time for Low to High Transition of Output = (Load Capacitance/(Transconductance of PMOS*(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias))))*(((2*abs(Threshold Voltage of PMOS with Body Bias))/(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias)))+ln((4*(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias))/Supply Voltage)-1))

Propagation Delay for High to Low Output Transition CMOS

Go Time for High to Low Transition of Output = (Load Capacitance/(Transconductance of NMOS*(Supply Voltage-Threshold Voltage of NMOS with Body Bias)))*((2*Threshold Voltage of NMOS with Body Bias/(Supply Voltage-Threshold Voltage of NMOS with Body Bias))+ln((4*(Supply Voltage-Threshold Voltage of NMOS with Body Bias)/Supply Voltage)-1))

Resistive Load Minimum Output Voltage CMOS

Go Resistive Load Minimum Output Voltage = Supply Voltage-Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))-sqrt((Supply Voltage-Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance)))^2-(2*Supply Voltage/(Transconductance of NMOS*Load Resistance)))

Threshold Voltage CMOS

Go Threshold Voltage = (Threshold Voltage of NMOS Without Body Bias+sqrt(1/Transconductance Ratio)*(Supply Voltage+(Threshold Voltage of PMOS Without Body Bias)))/(1+sqrt(1/Transconductance Ratio))

Maximum Input Voltage CMOS

Go Maximum Input Voltage CMOS = (2*Output Voltage for Max Input+(Threshold Voltage of PMOS Without Body Bias)-Supply Voltage+Transconductance Ratio*Threshold Voltage of NMOS Without Body Bias)/(1+Transconductance Ratio)

Resistive Load Minimum Input Voltage CMOS

Go Resistive Load Minimum Input Voltage = Zero Bias Threshold Voltage+sqrt((8*Supply Voltage)/(3*Transconductance of NMOS*Load Resistance))-(1/(Transconductance of NMOS*Load Resistance))

Minimum Input Voltage CMOS

Go Minimum Input Voltage = (Supply Voltage+(Threshold Voltage of PMOS Without Body Bias)+Transconductance Ratio*(2*Output Voltage+Threshold Voltage of NMOS Without Body Bias))/(1+Transconductance Ratio)

Load Capacitance of Cascaded Inverter CMOS

Go Load Capacitance = Gate Drain Capacitance of PMOS+Gate Drain Capacitance of NMOS+Drain Bulk Capacitance of PMOS+Drain Bulk Capacitance of NMOS+Internal Capacitance+Gate Capacitance

Energy Delivered by Power Supply

Go Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor)

Resistive Load Maximum Input Voltage CMOS

Go Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))

Average Propagation Delay CMOS

Go Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2

Average Power Dissipation CMOS

Go Average Power Dissipation = Load Capacitance*(Supply Voltage)^2*Frequency

Maximum Input Voltage for Symmetric CMOS

Go Maximum Input Voltage = (3*Supply Voltage+2*Threshold Voltage of NMOS Without Body Bias)/8

Minimum Input Voltage for Symmetric CMOS

Go Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8

Oscillation Period Ring Oscillator CMOS

Go Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay

Noise Margin for High Signal CMOS

Go Noise Margin for High Signal = Maximum Output Voltage-Minimum Input Voltage

Transconductance Ratio CMOS

Go Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS

Average Propagation Delay CMOS Formula

Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2
ζ_P = (ζ_PHL+ζ_PLH)/2

What is the impact of fan-out on average propagation delay?

Fan-out, the number of gate inputs connected to a gate output, can affect the average propagation delay. Higher fan-out can increase the load on the output, leading to longer propagation delays.

How to Calculate Average Propagation Delay CMOS?

Average Propagation Delay CMOS calculator uses Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2 to calculate the Average Propagation Delay, The Average Propagation Delay CMOS formula is defined as the average time required for the input signal to propagate through the inverter. Average Propagation Delay is denoted by ζ_P symbol.

How to calculate Average Propagation Delay CMOS using this online calculator? To use this online calculator for Average Propagation Delay CMOS, enter Time for High to Low Transition of Output (ζ_PHL) & Time for Low to High Transition of Output (ζ_PLH) and hit the calculate button. Here is how the Average Propagation Delay CMOS calculation can be explained with given input values -> 4.2E+6 = (2.29E-12+6.182E-12)/2.

FAQ

What is Average Propagation Delay CMOS?

The Average Propagation Delay CMOS formula is defined as the average time required for the input signal to propagate through the inverter and is represented as ζ_P = (ζ_PHL+ζ_PLH)/2 or Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2. Time for High to Low Transition of Output is defined as the time required for the output voltage to fall from V_OH to the V_50%s level & Time for Low to High Transition of Output is defined as the time required for the output voltage to rise from VOL to the V50% level.

How to calculate Average Propagation Delay CMOS?

The Average Propagation Delay CMOS formula is defined as the average time required for the input signal to propagate through the inverter is calculated using Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2. To calculate Average Propagation Delay CMOS, you need Time for High to Low Transition of Output (ζ_PHL) & Time for Low to High Transition of Output (ζ_PLH). With our tool, you need to enter the respective value for Time for High to Low Transition of Output & Time for Low to High Transition of Output and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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