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Output Clock Phase Formula

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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. Check FAQs

Φ out = 2 \cdot π \cdot V ctrl \cdot K vco

Φ_out - Output Clock Phase?V_ctrl - VCO Control Voltage?K_vco - VCO Gain?π - Archimedes' constant?

Output Clock Phase Example

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With units

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Here is how the Output Clock Phase equation looks like with Values.

Here is how the Output Clock Phase equation looks like with Units.

Here is how the Output Clock Phase equation looks like.

0.4398 = 2 \cdot 3.1416 \cdot 7 \cdot 0.01

0.4398 = 2 \cdot 3.1416 \cdot 7V \cdot 0.01

0.4398 = 2 \cdot 3.1416 \cdot 7 \cdot 0.01

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Output Clock Phase Solution

Follow our step by step solution on how to calculate Output Clock Phase?

FIRST Step Consider the formula

Φ out = 2 \cdot π \cdot V ctrl \cdot K vco

Next Step Substitute values of Variables

∴

Φ out = 2 \cdot π \cdot 7V \cdot 0.01

Next Step Substitute values of Constants

∴

Φ out = 2 \cdot 3.1416 \cdot 7V \cdot 0.01

Next Step Prepare to Evaluate

∴

Φ out = 2 \cdot 3.1416 \cdot 7 \cdot 0.01

Next Step Evaluate

∴

Φ out = 0.439822971502571

LAST Step Rounding Answer

∴

Φ out = 0.4398

Output Clock Phase Formula Elements

Variables

Constants

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.

Symbol: Φ_out

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Output Clock Phase

VCO Control Voltage

VCO Control Voltage is the allowable voltage in VCO.

Symbol: V_ctrl

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find VCO Control Voltage

VCO Gain

VCO Gain is tuning gain and noise present in the control signal affect the phase noise.

Symbol: K_vco

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find VCO Gain

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in CMOS Design Characteristics category

Go Static Current

i static = \frac{P static}{V bc}

Go Built-in Potential

ψ o = V t \cdot \ln (\frac{N a \cdot N d}{{n i}^{2}})

Go Change in Frequency Clock

Δf = K vco \cdot V ctrl

Go Capacitance Onpath

C onpath = C t - C offpath

How to Evaluate Output Clock Phase?

Output Clock Phase evaluator uses Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain to evaluate 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 evaluate Output Clock Phase using this online evaluator? To use this online evaluator for Output Clock Phase, enter VCO Control Voltage (V_ctrl) & VCO Gain (K_vco) and hit the calculate button.

FAQs on Output Clock Phase

What is the formula to find Output Clock Phase?

The formula of Output Clock Phase is expressed as Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain. Here is an example- 0.439823 = 2*pi*7*0.01.

How to calculate Output Clock Phase?

With VCO Control Voltage (V_ctrl) & VCO Gain (K_vco) we can find Output Clock Phase using the formula - Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain. This formula also uses Archimedes' constant .

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