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Predicted Position of Target Calculator

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Special Purpose Radars Radar and Antenna Specifications Radar Antennas Reception

✖Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar.ⓘ Smoothed Position [X_in]			+10% -10%
✖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.ⓘ Position Smoothing Parameter [α]			+10% -10%
✖Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.ⓘ Measured Position at Nth Scan [x_n]			+10% -10%

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

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Formula

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Predicted Position of Target

Formula

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

Example

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

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Predicted Position of Target Solution

STEP 0: Pre-Calculation Summary

Formula Used

Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter)
x_pn = (X_in-(α*x_n))/(1-α)
This formula uses 4 Variables

Variables Used

Target Predicted Position - (Measured in Meter) - Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar.
Smoothed Position - (Measured in Meter) - Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar.
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.
Measured Position at Nth Scan - (Measured in Meter) - Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.

STEP 1: Convert Input(s) to Base Unit

Smoothed Position: 40 Meter --> 40 Meter No Conversion Required
Position Smoothing Parameter: 0.5 --> No Conversion Required
Measured Position at Nth Scan: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_pn = (X_in-(α*x_n))/(1-α) --> (40-(0.5*6))/(1-0.5)

Evaluating ... ...

x_pn = 74

STEP 3: Convert Result to Output's Unit

74 Meter --> No Conversion Required

FINAL ANSWER

74 Meter <-- Target Predicted Position

(Calculation completed in 00.004 seconds)

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< Special Purpose Radars Calculators

Amplitude of Signal Received from Target at Range

Go Amplitude of Signal Received = Echo Signal Voltage/(sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])))

Amplitude of Reference Signal

Go Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))

Reference Voltage of CW Oscillator

Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)

Doppler Frequency Shift

Go Doppler Frequency Shift = (2*Target Velocity)/Wavelength

Predicted Position of Target Formula

Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter)
x_pn = (X_in-(α*x_n))/(1-α)

What is the Principle of Operation of Guided Wave Radar?

In FMCW gauges the transmitter constantly emits a swept frequency and the distance is calculated by the difference in frequency of emitted and received signal.

How to Calculate Predicted Position of Target?

Predicted Position of Target calculator uses Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter) to calculate 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 calculate Predicted Position of Target using this online calculator? To use this online calculator 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. Here is how the Predicted Position of Target calculation can be explained with given input values -> 74 = (40-(0.5*6))/(1-0.5).

FAQ

What is Predicted Position of Target?

The Predicted position of target formula is defined as probability of target at particular position and is represented as x_pn = (X_in-(α*x_n))/(1-α) or Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter). Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar, 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 & Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.

How to calculate Predicted Position of Target?

The Predicted position of target formula is defined as probability of target at particular position is calculated using Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter). To calculate Predicted Position of Target, you need Smoothed Position (X_in), Position Smoothing Parameter (α) & Measured Position at Nth Scan (x_n). With our tool, you need to enter the respective value for Smoothed Position, Position Smoothing Parameter & Measured Position at Nth Scan and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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