Oscillation Period Ring Oscillator CMOS Calculator

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✖Number of stages Ring Oscillator is defined as the number of inverters used in CMOS Ring oscillator.ⓘ Number of Stages Ring Oscillator [n]			+10% -10%
✖Average Propagation Delay is defined as the average time required for the input signal to propagate through the inverter.ⓘ Average Propagation Delay [ζ_P]			+10% -10%

✖Oscillation Period of CMOS ring oscillator is defined as the time taken for one complete cycle of oscillation.ⓘ Oscillation Period Ring Oscillator CMOS [T_osc]

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Formula

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Oscillation Period Ring Oscillator CMOS

Formula

`"T"_{"osc"} = 2*"n"*"ζ"_{"P"}`

Example

`"0.0252ns"=2*"3"*"0.0042ns"`

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Oscillation Period Ring Oscillator CMOS Solution

STEP 0: Pre-Calculation Summary

Formula Used

Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay
T_osc = 2*n*ζ_P
This formula uses 3 Variables

Variables Used

Oscillation Period - (Measured in Second) - Oscillation Period of CMOS ring oscillator is defined as the time taken for one complete cycle of oscillation.
Number of Stages Ring Oscillator - Number of stages Ring Oscillator is defined as the number of inverters used in CMOS Ring oscillator.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Stages Ring Oscillator: 3 --> No Conversion Required
Average Propagation Delay: 0.0042 Nanosecond --> 4.2E-12 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_osc = 2*n*ζ_P --> 2*3*4.2E-12

Evaluating ... ...

T_osc = 2.52E-11

STEP 3: Convert Result to Output's Unit

2.52E-11 Second -->0.0252 Nanosecond (Check conversion here)

FINAL ANSWER

0.0252 Nanosecond <-- Oscillation Period

(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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Chandigarh University (CU), Punjab

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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

Oscillation Period Ring Oscillator CMOS Formula

Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay
T_osc = 2*n*ζ_P

What are the applications of CMOS Ring Oscillators?

CMOS ring oscillators find applications in clock generation, frequency synthesis, and testing digital circuits. They are also used for evaluating process technology and measuring propagation delays.

How to Calculate Oscillation Period Ring Oscillator CMOS?

Oscillation Period Ring Oscillator CMOS calculator uses Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay to calculate the Oscillation Period, The Oscillation Period Ring Oscillator CMOS formula is defined as the time taken for one complete cycle of oscillation. Oscillation Period is denoted by T_osc symbol.

How to calculate Oscillation Period Ring Oscillator CMOS using this online calculator? To use this online calculator for Oscillation Period Ring Oscillator CMOS, enter Number of Stages Ring Oscillator (n) & Average Propagation Delay (ζ_P) and hit the calculate button. Here is how the Oscillation Period Ring Oscillator CMOS calculation can be explained with given input values -> 2.5E+7 = 2*3*4.2E-12.

FAQ

What is Oscillation Period Ring Oscillator CMOS?

The Oscillation Period Ring Oscillator CMOS formula is defined as the time taken for one complete cycle of oscillation and is represented as T_osc = 2*n*ζ_P or Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay. Number of stages Ring Oscillator is defined as the number of inverters used in CMOS Ring oscillator & Average Propagation Delay is defined as the average time required for the input signal to propagate through the inverter.

How to calculate Oscillation Period Ring Oscillator CMOS?

The Oscillation Period Ring Oscillator CMOS formula is defined as the time taken for one complete cycle of oscillation is calculated using Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay. To calculate Oscillation Period Ring Oscillator CMOS, you need Number of Stages Ring Oscillator (n) & Average Propagation Delay (ζ_P). With our tool, you need to enter the respective value for Number of Stages Ring Oscillator & Average Propagation Delay 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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