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Predicted Position of Target Formula

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

x pn = \frac{X in - (α \cdot x n)}{1 - α}

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

Predicted Position of Target Example

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Here is how the Predicted Position of Target equation looks like with Values.

Here is how the Predicted Position of Target equation looks like with Units.

Here is how the Predicted Position of Target equation looks like.

74 = \frac{40 - (0.5 \cdot 6)}{1 - 0.5}

74m = \frac{40m - (0.5 \cdot 6m)}{1 - 0.5}

74 = \frac{40 - (0.5 \cdot 6)}{1 - 0.5}

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Predicted Position of Target Solution

Follow our step by step solution on how to calculate Predicted Position of Target?

FIRST Step Consider the formula

x pn = \frac{X in - (α \cdot x n)}{1 - α}

Next Step Substitute values of Variables

∴

x pn = \frac{40m - (0.5 \cdot 6m)}{1 - 0.5}

Next Step Prepare to Evaluate

∴

x pn = \frac{40 - (0.5 \cdot 6)}{1 - 0.5}

LAST Step Evaluate

∴

x pn = 74m

Predicted Position of Target Formula Elements

Variables

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

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

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

Go Doppler Frequency Shift

Δf d = \frac{2 \cdot v t}{λ}

Go Reference Voltage of CW Oscillator

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

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 Predicted Position of Target?

Predicted Position of Target evaluator uses Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter) to evaluate the Target Predicted Position, The Predicted position of target formula is defined as probability of target at particular position. Target Predicted Position is denoted by x_pn symbol.

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

FAQs on Predicted Position of Target

What is the formula to find Predicted Position of Target?

The formula of Predicted Position of Target is expressed as Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter). Here is an example- 74 = (40-(0.5*6))/(1-0.5).

How to calculate Predicted Position of Target?

With Smoothed Position (X_in), Position Smoothing Parameter (α) & Measured Position at Nth Scan (x_n) we can find Predicted Position of Target using the formula - Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter).

Can the Predicted Position of Target be negative?

No, the Predicted Position of Target, measured in Length cannot be negative.

Which unit is used to measure Predicted Position of Target?

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

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Predicted Position of Target Formula

Predicted Position of Target Example

Predicted Position of Target Solution

Predicted Position of Target Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Predicted Position of Target?

FAQs on Predicted Position of Target

Variable Name