Measured Position at Nth Scan 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%
✖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]

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Formula

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Measured Position at Nth Scan

Formula

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

Example

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

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Download Special Purpose Radars Formulas PDF

Measured Position at Nth Scan Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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
Position Smoothing Parameter: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_n = ((X_in-x_pn)/α)+x_pn --> ((40-74)/0.5)+74

Evaluating ... ...

x_n = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Measured Position at Nth Scan

(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!

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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))

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)

Measured Position at Nth Scan Formula

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

How do you choose a smoothing parameter?

When choosing smoothing parameters in exponential smoothing, the choice can be made by either minimizing the sum of squared one-step-ahead forecast errors or minimizing the sum of the absolute one- step-ahead forecast errors. In this article, the resulting forecast accuracy is used to compare these two options.

How to Calculate Measured Position at Nth Scan?

Measured Position at Nth Scan calculator uses Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+Target Predicted Position to calculate the Measured Position at Nth Scan, The Measured position at nth scan formula is defined as last position or nth position scanned in radar system. Measured Position at Nth Scan is denoted by x_n symbol.

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

FAQ

What is Measured Position at Nth Scan?

The Measured position at nth scan formula is defined as last position or nth position scanned in radar system and is represented as x_n = ((X_in-x_pn)/α)+x_pn or Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+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 & 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.

How to calculate Measured Position at Nth Scan?

The Measured position at nth scan formula is defined as last position or nth position scanned in radar system is calculated using Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+Target Predicted Position. To calculate Measured Position at Nth Scan, you need Smoothed Position (X_in), Target Predicted Position (x_pn) & Position Smoothing Parameter (α). With our tool, you need to enter the respective value for Smoothed Position, Target Predicted Position & Position Smoothing Parameter 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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