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Position Smoothing Parameter Formula

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Position Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed position estimated by the track-while-scan surveillance radar to avoid noisy measurements. Check FAQs

α = \frac{X in - x pn}{x n - x pn}

α - Position Smoothing Parameter?X_in - Smoothed Position?x_pn - Target Predicted Position?x_n - Measured Position at Nth Scan?

Position Smoothing Parameter Example

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With units

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Here is how the Position Smoothing Parameter equation looks like with Values.

Here is how the Position Smoothing Parameter equation looks like with Units.

Here is how the Position Smoothing Parameter equation looks like.

0.5 = \frac{40 - 74}{6 - 74}

0.5 = \frac{40m - 74m}{6m - 74m}

0.5 = \frac{40 - 74}{6 - 74}

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Position Smoothing Parameter Solution

Follow our step by step solution on how to calculate Position Smoothing Parameter?

FIRST Step Consider the formula

α = \frac{X in - x pn}{x n - x pn}

Next Step Substitute values of Variables

∴

α = \frac{40m - 74m}{6m - 74m}

Next Step Prepare to Evaluate

∴

α = \frac{40 - 74}{6 - 74}

LAST Step Evaluate

∴

α = 0.5

Position Smoothing Parameter Formula Elements

Variables

Position Smoothing Parameter

Position Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed position estimated by the track-while-scan surveillance radar to avoid noisy measurements.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Position Smoothing Parameter

Smoothed Position

Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar.

Symbol: X_in

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Smoothed Position

Target Predicted Position

Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar.

Symbol: x_pn

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Target Predicted Position

Measured Position at Nth Scan

Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.

Symbol: x_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Measured Position at Nth Scan

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How to Evaluate Position Smoothing Parameter?

Position Smoothing Parameter evaluator uses Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position) to evaluate the Position Smoothing Parameter, The Position Smoothing parameter formula is used to calculate the tuning parameter which is used to improve the quality of smoothed position estimated by the track-while-scan surveillance radar to avoid noisy measurements due to factors like clutters or noise in radar system. Position Smoothing Parameter is denoted by α symbol.

How to evaluate Position Smoothing Parameter using this online evaluator? To use this online evaluator for Position Smoothing Parameter, enter Smoothed Position (X_in), Target Predicted Position (x_pn) & Measured Position at Nth Scan (x_n) and hit the calculate button.

FAQs on Position Smoothing Parameter

What is the formula to find Position Smoothing Parameter?

The formula of Position Smoothing Parameter is expressed as Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position). Here is an example- 0.5 = (40-74)/(6-74).

How to calculate Position Smoothing Parameter?

With Smoothed Position (X_in), Target Predicted Position (x_pn) & Measured Position at Nth Scan (x_n) we can find Position Smoothing Parameter using the formula - Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position).

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Position Smoothing Parameter Formula

Position Smoothing Parameter Example

Position Smoothing Parameter Solution

Position Smoothing Parameter Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Position Smoothing Parameter?

FAQs on Position Smoothing Parameter

Variable Name