Position Smoothing Parameter Calculator

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Special Purpose Radars

Radar & 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%
✖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%
✖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%

✖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]

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Formula

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Position Smoothing Parameter

Formula

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

Example

`"0.5"=("40m"-"74m")/("6m"-"74m")`

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Download Special Purpose Radars Formulas PDF

Position Smoothing Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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
Target Predicted Position: 74 Meter --> 74 Meter No Conversion Required
Measured Position at Nth Scan: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = (X_in-x_pn)/(x_n-x_pn) --> (40-74)/(6-74)

Evaluating ... ...

α = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Position Smoothing Parameter

(Calculation completed in 00.020 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)

Position Smoothing Parameter Formula

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

What is smooth positioning solution?

A smooth positioning solution refers to GPS/GNSS data that has been run through a special filter or algorithm to create a smooth trajectory without any sudden position jumps due to changing GNSS signal conditions.

How to Calculate Position Smoothing Parameter?

Position Smoothing Parameter calculator uses Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position) to calculate the Position Smoothing Parameter, The Position Smoothing parameter formula is used to calculate 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 due to factors like clutters or noise in radar system. Position Smoothing Parameter is denoted by α symbol.

How to calculate Position Smoothing Parameter using this online calculator? To use this online calculator for Position Smoothing Parameter, enter Smoothed Position (X_in), Target Predicted Position (x_pn) & Measured Position at Nth Scan (x_n) and hit the calculate button. Here is how the Position Smoothing Parameter calculation can be explained with given input values -> 0.5 = (40-74)/(6-74).

FAQ

What is Position Smoothing Parameter?

The Position Smoothing parameter formula is used to calculate 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 due to factors like clutters or noise in radar system and is represented as α = (X_in-x_pn)/(x_n-x_pn) or Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position). Smoothed Position is defined as the estimated present position of target by track-while-scan surveillance radar, Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar & 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 Position Smoothing Parameter?

The Position Smoothing parameter formula is used to calculate 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 due to factors like clutters or noise in radar system is calculated using Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position). To calculate Position Smoothing Parameter, you need Smoothed Position (X_in), Target Predicted Position (x_pn) & Measured Position at Nth Scan (x_n). With our tool, you need to enter the respective value for Smoothed Position, Target Predicted Position & 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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