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)
Xin = xpn+α*(xn-xpn)
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
Xin = xpn+α*(xn-xpn) --> 74+0.5*(6-74)
Evaluating ... ...
Xin = 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)

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
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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))
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)
Reference Voltage of CW Oscillator
Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)
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)
CFA DC Power Input
Go DC Power Input = (CFA RF Power Output-CFA RF Drive Power)/Efficiency of Cross Field Amplifier
Efficiency of Cross Field Amplifier(CFA)
Go Efficiency of Cross Field Amplifier = (CFA RF Power Output-CFA RF Drive Power)/DC Power Input
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)
Xin = xpn+α*(xn-xpn)

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 Xin symbol.

How to calculate Smoothed Position using this online calculator? To use this online calculator for Smoothed Position, enter Target Predicted Position (xpn), Position Smoothing Parameter (α) & Measured Position at Nth Scan (xn) 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 Xin = xpn+α*(xn-xpn) 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 (xpn), Position Smoothing Parameter (α) & Measured Position at Nth Scan (xn). 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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