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Measured Position at Nth Scan Formula

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

x n = (\frac{X in - x pn}{α}) + x pn

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

Measured Position at Nth Scan Example

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With units

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Here is how the Measured Position at Nth Scan equation looks like with Values.

Here is how the Measured Position at Nth Scan equation looks like with Units.

Here is how the Measured Position at Nth Scan equation looks like.

6 = (\frac{40 - 74}{0.5}) + 74

6m = (\frac{40m - 74m}{0.5}) + 74m

6 = (\frac{40 - 74}{0.5}) + 74

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Measured Position at Nth Scan Solution

Follow our step by step solution on how to calculate Measured Position at Nth Scan?

FIRST Step Consider the formula

x n = (\frac{X in - x pn}{α}) + x pn

Next Step Substitute values of Variables

∴

x n = (\frac{40m - 74m}{0.5}) + 74m

Next Step Prepare to Evaluate

∴

x n = (\frac{40 - 74}{0.5}) + 74

LAST Step Evaluate

∴

x n = 6m

Measured Position at Nth Scan Formula Elements

Variables

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

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

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 Measured Position at Nth Scan?

Measured Position at Nth Scan evaluator uses Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+Target Predicted Position to evaluate the Measured Position at Nth Scan, The Measured position at nth scan formula is defined as last position or nth position scanned in radar system. Measured Position at Nth Scan is denoted by x_n symbol.

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

FAQs on Measured Position at Nth Scan

What is the formula to find Measured Position at Nth Scan?

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

How to calculate Measured Position at Nth Scan?

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

Can the Measured Position at Nth Scan be negative?

No, the Measured Position at Nth Scan, measured in Length cannot be negative.

Which unit is used to measure Measured Position at Nth Scan?

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

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Measured Position at Nth Scan Formula

Measured Position at Nth Scan Example

Measured Position at Nth Scan Solution

Measured Position at Nth Scan Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Measured Position at Nth Scan?

FAQs on Measured Position at Nth Scan

Variable Name