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Smoothed Position Formula

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

X in = x pn + α \cdot (x n - x pn)

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

Smoothed Position Example

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With units

Only example

Here is how the Smoothed Position equation looks like with Values.

Here is how the Smoothed Position equation looks like with Units.

Here is how the Smoothed Position equation looks like.

40 = 74 + 0.5 \cdot (6 - 74)

40m = 74m + 0.5 \cdot (6m - 74m)

40 = 74 + 0.5 \cdot (6 - 74)

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Smoothed Position Solution

Follow our step by step solution on how to calculate Smoothed Position?

FIRST Step Consider the formula

X in = x pn + α \cdot (x n - x pn)

Next Step Substitute values of Variables

∴

X in = 74m + 0.5 \cdot (6m - 74m)

Next Step Prepare to Evaluate

∴

X in = 74 + 0.5 \cdot (6 - 74)

LAST Step Evaluate

∴

X in = 40m

Smoothed Position Formula Elements

Variables

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

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

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

Other formulas in Special Purpose Radars category

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Go Amplitude of Reference Signal

A ref = \frac{V ref}{\sin (2 \cdot π \cdot ω \cdot T)}

Go Amplitude of Signal Received from Target at Range

A rec = \frac{V echo}{\sin ((2 \cdot π \cdot (f c + Δf d) \cdot T) - (\frac{4 \cdot π \cdot f c \cdot R o}{[c]}))}

How to Evaluate Smoothed Position?

Smoothed Position evaluator uses Smoothed Position = Target Predicted Position+Position Smoothing Parameter*(Measured Position at Nth Scan-Target Predicted Position) to evaluate the Smoothed Position, The Smoothed position formula is defined as on the basis of previous result radar is made smoothed position to estimate target easily. Smoothed Position is denoted by X_in symbol.

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

FAQs on Smoothed Position

What is the formula to find Smoothed Position?

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

How to calculate Smoothed Position?

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

Can the Smoothed Position be negative?

No, the Smoothed Position, measured in Length cannot be negative.

Which unit is used to measure Smoothed Position?

Smoothed Position is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Smoothed Position can be measured.

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Smoothed Position Formula

Smoothed Position Example

Smoothed Position Solution

Smoothed Position Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Smoothed Position?

FAQs on Smoothed Position

Variable Name