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Smoothed Position Calculator

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Special Purpose Radars Radar and Antenna Specifications Radar Antennas Reception

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

✖Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar.ⓘ Smoothed Position [X_in]

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Smoothed Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Smoothed Position - (Measured in Meter) - Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar.
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.
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

Target Predicted Position: 74 Meter --> 74 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_in = x_pn+α*(x_n-x_pn) --> 74+0.5*(6-74)

Evaluating ... ...

X_in = 40

STEP 3: Convert Result to Output's Unit

40 Meter --> No Conversion Required

FINAL ANSWER

40 Meter <-- Smoothed Position

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Special Purpose Radars Calculators

Amplitude of Signal Received from Target at Range

LaTeX 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

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

Reference Voltage of CW Oscillator

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

Doppler Frequency Shift

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

Smoothed Position Formula

LaTeX Go

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

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 Smoothed Position?

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

FAQ

What is Smoothed Position?

The Smoothed position formula is defined as on the basis of previous result radar is made smoothed position to estimate target easily and is represented as X_in = x_pn+α*(x_n-x_pn) or Smoothed Position = Target Predicted Position+Position Smoothing Parameter*(Measured Position at Nth Scan-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, 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 Smoothed Position?

The Smoothed position formula is defined as on the basis of previous result radar is made smoothed position to estimate target easily is calculated using Smoothed Position = Target Predicted Position+Position Smoothing Parameter*(Measured Position at Nth Scan-Target Predicted Position). To calculate Smoothed Position, you need Target Predicted Position (x_pn), Position Smoothing Parameter (α) & Measured Position at Nth Scan (x_n). With our tool, you need to enter the respective value for Target Predicted 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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