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Standard Deviation by Linear Function of Camera Exposure Time Formula

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The Standard Deviation provides a measure of the dispersion of image gray level intensities and can be understood as power level of the alternating signal component acquired by the camera. Check FAQs

Σ = ζ \cdot (I p) \cdot δ \cdot (\frac{1}{d^{2}}) \cdot (τ 1 \cdot t + τ 2)

Σ - Standard Deviation?ζ - Model Function?I_p - Radiant Intensity?δ - Model Behaviour Function?d - Distance between Camera and the IRED?τ₁ - Model Coefficient 1?t - Camera Exposure Time?τ₂ - Model Coefficient 2?

Standard Deviation by Linear Function of Camera Exposure Time Example

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Here is how the Standard Deviation by Linear Function of Camera Exposure Time equation looks like with Values.

Here is how the Standard Deviation by Linear Function of Camera Exposure Time equation looks like with Units.

Here is how the Standard Deviation by Linear Function of Camera Exposure Time equation looks like.

87.0966 = 1.75 \cdot (2.45) \cdot 6 \cdot (\frac{1}{{2.85}^{2}}) \cdot (3.15 \cdot 6 + 2.75)

87.0966 = 1.75 \cdot (2.45mA) \cdot 6 \cdot (\frac{1}{{2.85cm}^{2}}) \cdot (3.15 \cdot 6μs + 2.75)

87.0966 = 1.75 \cdot (2.45) \cdot 6 \cdot (\frac{1}{{2.85}^{2}}) \cdot (3.15 \cdot 6 + 2.75)

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Standard Deviation by Linear Function of Camera Exposure Time Solution

Follow our step by step solution on how to calculate Standard Deviation by Linear Function of Camera Exposure Time?

FIRST Step Consider the formula

Σ = ζ \cdot (I p) \cdot δ \cdot (\frac{1}{d^{2}}) \cdot (τ 1 \cdot t + τ 2)

Next Step Substitute values of Variables

∴

Σ = 1.75 \cdot (2.45mA) \cdot 6 \cdot (\frac{1}{{2.85cm}^{2}}) \cdot (3.15 \cdot 6μs + 2.75)

Next Step Convert Units

∴

Σ = 1.75 \cdot (0.0025A) \cdot 6 \cdot (\frac{1}{{0.0285m}^{2}}) \cdot (3.15 \cdot 6E-6s + 2.75)

Next Step Prepare to Evaluate

∴

Σ = 1.75 \cdot (0.0025) \cdot 6 \cdot (\frac{1}{{0.0285}^{2}}) \cdot (3.15 \cdot 6E-6 + 2.75)

Next Step Evaluate

∴

Σ = 87.0966281348107

LAST Step Rounding Answer

∴

Σ = 87.0966

Standard Deviation by Linear Function of Camera Exposure Time Formula Elements

Variables

Standard Deviation

The Standard Deviation provides a measure of the dispersion of image gray level intensities and can be understood as power level of the alternating signal component acquired by the camera.

Symbol: Σ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Model Function

Model Function is the function used to model the behavior of Σ with IRED.

Symbol: ζ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Radiant Intensity

Radiant Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.

Symbol: I_p

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Model Behaviour Function

Model Behaviour Function is the function to model the behavior with distance d between the camera and the IRED.

Symbol: δ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Distance between Camera and the IRED

Distance between Camera and the IRED Infrared Emitting Diode can be measured using triangulation, time-of-flight, or intensity-based methods to determine accurate spatial positioning.

Symbol: d

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Model Coefficient 1

Model Coefficient 1 is the coefficient to model the linear relationship between t and Σ.

Symbol: τ₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Camera Exposure Time

Camera Exposure Time is the length of time the camera collects light from your sample.

Symbol: t

Measurement: TimeUnit: μs

Note: Value can be positive or negative.

Model Coefficient 2

Model Coefficient 2 is the coefficient to model the linear relationship between t and Σ.

Symbol: τ₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Credits

Creator Image

Created by

Punjab Engineering College (PEC), Chandigarh, India

Surya Tiwari has created this Formula and 9 more formulas!

Verifier Image

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Formula and 500+ more formulas!

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How to Evaluate Standard Deviation by Linear Function of Camera Exposure Time?

Standard Deviation by Linear Function of Camera Exposure Time evaluator uses Standard Deviation = Model Function*(Radiant Intensity)*Model Behaviour Function*(1/Distance between Camera and the IRED^2)*(Model Coefficient 1*Camera Exposure Time+Model Coefficient 2) to evaluate the Standard Deviation, The Standard Deviation by linear function of camera exposure time. shows that standard deviation can be modeled by a linear function of camera exposure time. where ζ is the function used to model the behavior of Σ with IRED radiant intensity Ip, δ is the function to model the behavior with distance d between the camera and the IRED, and τ1 and τ2 are the coefficients to model the linear relationship between t and Σ. Standard Deviation is denoted by Σ symbol.

How to evaluate Standard Deviation by Linear Function of Camera Exposure Time using this online evaluator? To use this online evaluator for Standard Deviation by Linear Function of Camera Exposure Time, enter Model Function (ζ), Radiant Intensity (I_p), Model Behaviour Function (δ), Distance between Camera and the IRED (d), Model Coefficient 1 (τ₁), Camera Exposure Time (t) & Model Coefficient 2 (τ₂) and hit the calculate button.

FAQs on Standard Deviation by Linear Function of Camera Exposure Time

What is the formula to find Standard Deviation by Linear Function of Camera Exposure Time?

The formula of Standard Deviation by Linear Function of Camera Exposure Time is expressed as Standard Deviation = Model Function*(Radiant Intensity)*Model Behaviour Function*(1/Distance between Camera and the IRED^2)*(Model Coefficient 1*Camera Exposure Time+Model Coefficient 2). Here is an example- 87.09663 = 1.75*(0.00245)*6*(1/0.0285^2)*(3.15*6E-06+2.75).

How to calculate Standard Deviation by Linear Function of Camera Exposure Time?

With Model Function (ζ), Radiant Intensity (I_p), Model Behaviour Function (δ), Distance between Camera and the IRED (d), Model Coefficient 1 (τ₁), Camera Exposure Time (t) & Model Coefficient 2 (τ₂) we can find Standard Deviation by Linear Function of Camera Exposure Time using the formula - Standard Deviation = Model Function*(Radiant Intensity)*Model Behaviour Function*(1/Distance between Camera and the IRED^2)*(Model Coefficient 1*Camera Exposure Time+Model Coefficient 2).

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