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Velocity Smoothing Parameter Calculator

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Special Purpose Radars Radar and Antenna Specifications Radar Antennas Reception

✖Smoothed Velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar.ⓘ Smoothed Velocity [v_s]			+10% -10%
✖(n-1)th Scan Smoothed Velocity is the smoothed estimate of target's velocity at the n-1 th scan by the track-while-scan surveillance radar.ⓘ (n-1)th Scan Smoothed Velocity [v_s(n-1)]			+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%
✖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%
✖Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar.ⓘ Time between Observations [T_s]			+10% -10%

✖Velocity Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed velocity estimated by the track-while-scan surveillance radar to avoid noisy measurements.ⓘ Velocity Smoothing Parameter [β]

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Velocity Smoothing Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations
β = ((v_s-v_s(n-1))/(x_n-x_pn))*T_s
This formula uses 6 Variables

Variables Used

Velocity Smoothing Parameter - Velocity Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed velocity estimated by the track-while-scan surveillance radar to avoid noisy measurements.
Smoothed Velocity - (Measured in Meter per Second) - Smoothed Velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar.
(n-1)th Scan Smoothed Velocity - (Measured in Meter per Second) - (n-1)th Scan Smoothed Velocity is the smoothed estimate of target's velocity at the n-1 th 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.
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.
Time between Observations - (Measured in Second) - Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar.

STEP 1: Convert Input(s) to Base Unit

Smoothed Velocity: 9.3 Meter per Second --> 9.3 Meter per Second No Conversion Required
(n-1)th Scan Smoothed Velocity: 11 Meter per Second --> 11 Meter per Second No Conversion Required
Measured Position at Nth Scan: 6 Meter --> 6 Meter No Conversion Required
Target Predicted Position: 74 Meter --> 74 Meter No Conversion Required
Time between Observations: 320 Second --> 320 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = ((v_s-v_s(n-1))/(x_n-x_pn))*T_s --> ((9.3-11)/(6-74))*320

Evaluating ... ...

β = 8

STEP 3: Convert Result to Output's Unit

8 --> No Conversion Required

FINAL ANSWER

8 <-- Velocity Smoothing Parameter

(Calculation completed in 00.007 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

Velocity Smoothing Parameter Formula

LaTeX Go

What is Time Between Observations?

The Time Between Observations is the total time taken between the observation in the velocity as by the prediction of the target.

How to Calculate Velocity Smoothing Parameter?

Velocity Smoothing Parameter calculator uses Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations to calculate the Velocity Smoothing Parameter, The Velocity Smoothing Parameter formula is used to calculate the tuning parameter which is used to improve the quality of smoothed velocity estimated by the track-while-scan surveillance radar to avoid noisy measurements due to factors like clutters or noise in radar system. Velocity Smoothing Parameter is denoted by β symbol.

How to calculate Velocity Smoothing Parameter using this online calculator? To use this online calculator for Velocity Smoothing Parameter, enter Smoothed Velocity (v_s), (n-1)th Scan Smoothed Velocity (v_s(n-1)), Measured Position at Nth Scan (x_n), Target Predicted Position (x_pn) & Time between Observations (T_s) and hit the calculate button. Here is how the Velocity Smoothing Parameter calculation can be explained with given input values -> -9.411765 = ((9.3-11)/(6-74))*320.

FAQ

What is Velocity Smoothing Parameter?

The Velocity Smoothing Parameter formula is used to calculate the tuning parameter which is used to improve the quality of smoothed velocity 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 β = ((v_s-v_s(n-1))/(x_n-x_pn))*T_s or Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations. Smoothed Velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar, (n-1)th Scan Smoothed Velocity is the smoothed estimate of target's velocity at the n-1 th 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, Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar & Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar.

How to calculate Velocity Smoothing Parameter?

The Velocity Smoothing Parameter formula is used to calculate the tuning parameter which is used to improve the quality of smoothed velocity 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 Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations. To calculate Velocity Smoothing Parameter, you need Smoothed Velocity (v_s), (n-1)th Scan Smoothed Velocity (v_s(n-1)), Measured Position at Nth Scan (x_n), Target Predicted Position (x_pn) & Time between Observations (T_s). With our tool, you need to enter the respective value for Smoothed Velocity, (n-1)th Scan Smoothed Velocity, Measured Position at Nth Scan, Target Predicted Position & Time between Observations 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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