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)
xpn = (Xin-(α*xn))/(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
xpn = (Xin-(α*xn))/(1-α) --> (40-(0.5*6))/(1-0.5)
Evaluating ... ...
xpn = 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)

Credits

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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Predicted Position of Target Formula

​LaTeX ​Go
Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter)
xpn = (Xin-(α*xn))/(1-α)

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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 xpn 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 (Xin), Position Smoothing Parameter (α) & Measured Position at Nth Scan (xn) 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 xpn = (Xin-(α*xn))/(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 (Xin), Position Smoothing Parameter (α) & Measured Position at Nth Scan (xn). 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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