Smoothed Position Calculator

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Special Purpose Radars

Radar & 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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Formula

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Smoothed Position

Formula

`"X"_{"in"} = "x"_{"pn"}+"α"*("x"_{"n"}-"x"_{"pn"})`

Example

`"40m"="74m"+"0.5"*("6m"-"74m")`

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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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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 21 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])))

Echo Signal Voltage

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

Velocity Smoothing Parameter

Go Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations

Time between Observations

Go Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position)

Smoothed Velocity

Go Smoothed Velocity = (n-1)th Scan Smoothed Velocity+Velocity Smoothing Parameter/Time between Observations*(Measured Position at Nth Scan-Target Predicted Position)

Phase Difference between Echo Signals in Monopulse Radar

Go Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength

Predicted Position of Target

Go Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter)

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)

Measured Position at Nth Scan

Go Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+Target Predicted Position

Position Smoothing Parameter

Go Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position)

Smoothed Position

Go Smoothed Position = Target Predicted Position+Position Smoothing Parameter*(Measured Position at Nth Scan-Target Predicted Position)

Distance from Antenna 1 to Target in Monopulse Radar

Go Distance from Antenna 1 to Target = (Range+Distance between Antennas in Monopulse Radar)/2*sin(Angle in Monopulse Radar)

Distance from Antenna 2 to Target in Monopulse Radar

Go Distance from Antenna 2 to Target = (Range-Distance between Antennas in Monopulse Radar)/2*sin(Angle in Monopulse Radar)

Efficiency of Cross Field Amplifier(CFA)

Go Efficiency of Cross Field Amplifier = (CFA RF Power Output-CFA RF Drive Power)/DC Power Input

CFA DC Power Input

Go DC Power Input = (CFA RF Power Output-CFA RF Drive Power)/Efficiency of Cross Field Amplifier

CFA RF Power Output

Go CFA RF Power Output = Efficiency of Cross Field Amplifier*DC Power Input+CFA RF Drive Power

CFA RF Drive Power

Go CFA RF Drive Power = CFA RF Power Output-Efficiency of Cross Field Amplifier*DC Power Input

Range Resolution

Go Range Resolution = (2*Antenna Height*Target Height)/Range

Doppler Frequency Shift

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

Peak Quantization Lobe

Go Peak Quantization Lobe = 1/2^(2*Mean Lobe)

Smoothed Position Formula

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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