Output Clock Phase Calculator

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CMOS Design Characteristics

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✖VCO Control Voltage is the allowable voltage in VCO.ⓘ VCO Control Voltage [V_ctrl]			+10% -10%
✖VCO Gain is tuning gain and noise present in the control signal affect the phase noise.ⓘ VCO Gain [K_vco]			+10% -10%

✖Output Clock Phase is a clock signal that oscillates between a high and a low state and is used like a metronome to coordinate actions of digital circuits.ⓘ Output Clock Phase [Φ_out]

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Formula

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Output Clock Phase

Formula

`"Φ"_{"out"} = 2*pi*"V"_{"ctrl"}*"K"_{"vco"}`

Example

`"0.439823"=2*pi*"7V"*"0.01"`

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Output Clock Phase Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain
Φ_out = 2*pi*V_ctrl*K_vco
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Output Clock Phase - Output Clock Phase is a clock signal that oscillates between a high and a low state and is used like a metronome to coordinate actions of digital circuits.
VCO Control Voltage - (Measured in Volt) - VCO Control Voltage is the allowable voltage in VCO.
VCO Gain - VCO Gain is tuning gain and noise present in the control signal affect the phase noise.

STEP 1: Convert Input(s) to Base Unit

VCO Control Voltage: 7 Volt --> 7 Volt No Conversion Required
VCO Gain: 0.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_out = 2*pi*V_ctrl*K_vco --> 2*pi*7*0.01

Evaluating ... ...

Φ_out = 0.439822971502571

STEP 3: Convert Result to Output's Unit

0.439822971502571 --> No Conversion Required

FINAL ANSWER

0.439822971502571 ≈ 0.439823 <-- Output Clock Phase

(Calculation completed in 00.005 seconds)

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< 24 CMOS Design Characteristics Calculators

Ground to Agression Capacitance

Go Adjacent Capacitance = ((Victim Driver*Time Constant Ratio*Ground Capacitance)-(Agression Driver*Ground A Capacitance))/(Agression Driver-Victim Driver*Time Constant Ratio)

Victim Driver

Go Victim Driver = (Agression Driver*(Ground A Capacitance+Adjacent Capacitance))/(Time Constant Ratio*(Adjacent Capacitance+Ground Capacitance))

Agression Driver

Go Agression Driver = (Victim Driver*Time Constant Ratio*(Adjacent Capacitance+Ground Capacitance))/(Ground A Capacitance+Adjacent Capacitance)

Thermal Voltage of CMOS

Go Thermal Voltage = Built-in Potential/ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Electron Concentration^2))

Built-in Potential

Go Built-in Potential = Thermal Voltage*ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Electron Concentration^2))

Agressor Voltage

Go Agressor Voltage = (Victim Voltage*(Ground Capacitance+Adjacent Capacitance))/Adjacent Capacitance

Victim Voltage

Go Victim Voltage = (Agressor Voltage*Adjacent Capacitance)/(Ground Capacitance+Adjacent Capacitance)

Adjacent Capacitance

Go Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/ (Agressor Voltage-Victim Voltage)

Branching Effort

Go Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath

Output Clock Phase

Go Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain

Capacitance Onpath

Go Capacitance Onpath = Total Capacitance in Stage-Capacitance Offpath

Agression Time Constant

Go Agression Time Constant = Time Constant Ratio*Victim Time Constant

Victim Time Constant

Go Victim Time Constant = Agression Time Constant/Time Constant Ratio

Total Capacitance Seen by Stage

Go Total Capacitance in Stage = Capacitance Onpath+Capacitance Offpath

Capacitance Offpath

Go Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath

Time Constant Ratio of Agression to Victim

Go Time Constant Ratio = Agression Time Constant/Victim Time Constant

Off-Path Capacitance of CMOS

Go Capacitance Offpath = Capacitance Onpath*(Branching Effort-1)

Change in Frequency Clock

Go Change in Frequency of Clock = VCO Gain*VCO Control Voltage

VCO Single Gain Factor

Go VCO Gain = Change in Frequency of Clock/VCO Control Voltage

Static Current

Go Static Current = Static Power/Base Collector Voltage

VCO Control Voltage

Go VCO Control Voltage = Lock Voltage+VCO Offset Voltage

VCO Offset Voltage

Go VCO Offset Voltage = VCO Control Voltage-Lock Voltage

Lock Voltage

Go Lock Voltage = VCO Control Voltage-VCO Offset Voltage

Static Power Dissipation

Go Static Power = Static Current*Base Collector Voltage

Output Clock Phase Formula

Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain
Φ_out = 2*pi*V_ctrl*K_vco

What is jitter accumulation?

Acute readers may notice that the change in the control voltage does not immediately shift the clock phase of a VCO. The phase rather changes with the time-integration of the control voltage. In other words, it takes time to change the phase of a VCO. This characteristic leads to an often-cited phenomenon called jitter accumulation.

How to Calculate Output Clock Phase?

Output Clock Phase calculator uses Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain to calculate the Output Clock Phase, The Output Clock Phase formula is defined as the amount of time it takes from the clock at the pin of the FPGA, to the output signal at the FPGA. Output Clock Phase is denoted by Φ_out symbol.

How to calculate Output Clock Phase using this online calculator? To use this online calculator for Output Clock Phase, enter VCO Control Voltage (V_ctrl) & VCO Gain (K_vco) and hit the calculate button. Here is how the Output Clock Phase calculation can be explained with given input values -> 0.439823 = 2*pi*7*0.01.

FAQ

What is Output Clock Phase?

The Output Clock Phase formula is defined as the amount of time it takes from the clock at the pin of the FPGA, to the output signal at the FPGA and is represented as Φ_out = 2*pi*V_ctrl*K_vco or Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain. VCO Control Voltage is the allowable voltage in VCO & VCO Gain is tuning gain and noise present in the control signal affect the phase noise.

How to calculate Output Clock Phase?

The Output Clock Phase formula is defined as the amount of time it takes from the clock at the pin of the FPGA, to the output signal at the FPGA is calculated using Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain. To calculate Output Clock Phase, you need VCO Control Voltage (V_ctrl) & VCO Gain (K_vco). With our tool, you need to enter the respective value for VCO Control Voltage & VCO Gain 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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