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## Credits

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

## Velocity Smoothing Parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
velocity_smoothing_parameter = (Smoothed Velocity-measured position at the nth scan/(measured position at the nth scan+predicted position of the target))*time between observations
β = (S.V-xn/(xn+xpm))*Ts
This formula uses 4 Variables
Variables Used
Smoothed Velocity - Smoothed Velocity is the rate of change of its position with respect to a frame of reference (Measured in Meter per Second)
measured position at the nth scan- measured position at the nth scan
predicted position of the target - predicted position of the target (Measured in Meter)
time between observations - time between observations is the average time (Measured in Second)
STEP 1: Convert Input(s) to Base Unit
Smoothed Velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required
measured position at the nth scan: 1 --> No Conversion Required
predicted position of the target: 1 Meter --> 1 Meter No Conversion Required
time between observations: 20 Second --> 20 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = (S.V-xn/(xn+xpm))*Ts --> (5-1/(1+1))*20
Evaluating ... ...
β = 90
STEP 3: Convert Result to Output's Unit
90 --> No Conversion Required
FINAL ANSWER
90 <-- velocity smoothing parameter
(Calculation completed in 00.012 seconds)

## < 10+ CW AND FREQUENCY-MODULATED RADAR Calculators

Amplitude Of The Signal Received From Target at Range Ro
amplitude_of_the_signal_received = Echo Signal Voltage/(2*3.14*(carrier frequency+doppler frequency shift)*Time-(4*3.14*carrier frequency*Range/Speed of Light)) Go
Amplitude Of Reference signal
amplitude_of_reference_signal = CW oscillator voltage/(sin(2*3.14*frequency*Time)) Go
CW oscillator voltage
cw_oscillator_voltage = Amplitude Of Reference signal*sin(2*3.14*frequency*Time) Go
Phase difference between the echo signals
phase_difference_echo_signals = 2*3.14*Distance*sin(Theta)/Wavelength Go
Distance from antenna 1 to the target
distance_from_antenna_1 = Range+Distance/2*sin(Theta) Go
Distance from antenna 2
distance_from_antenna_2 = Range-Distance/2*sin(Theta) Go
Radar antenna height
radar_antenna_height = (Range-resolution*Range) /target height Go
Target height
target_height = (Range-resolution*Range)/radar antenna height Go
Range-resolution
range_resolution = (radar antenna height*target height)/Range Go
Doppler Frequency Shift
doppler_frequency_shift = 2*target velocity/Wavelength Go

### Velocity Smoothing Parameter Formula

velocity_smoothing_parameter = (Smoothed Velocity-measured position at the nth scan/(measured position at the nth scan+predicted position of the target))*time between observations
β = (S.V-xn/(xn+xpm))*Ts

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## How to Calculate Velocity Smoothing Parameter?

Velocity Smoothing Parameter calculator uses velocity_smoothing_parameter = (Smoothed Velocity-measured position at the nth scan/(measured position at the nth scan+predicted position of the target))*time between observations to calculate the velocity smoothing parameter, The Velocity Smoothing Parameter formula is defined as instantaneous, so the acceleration of a rigid body can be rather spiky (non-smooth) · velocity (angular velocity). velocity smoothing parameter and 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 (S.V), measured position at the nth scan (xn), predicted position of the target (xpm) and time between observations (Ts) and hit the calculate button. Here is how the Velocity Smoothing Parameter calculation can be explained with given input values -> 90 = (5-1/(1+1))*20 .

### FAQ

What is Velocity Smoothing Parameter?
The Velocity Smoothing Parameter formula is defined as instantaneous, so the acceleration of a rigid body can be rather spiky (non-smooth) · velocity (angular velocity) and is represented as β = (S.V-xn/(xn+xpm))*Ts or velocity_smoothing_parameter = (Smoothed Velocity-measured position at the nth scan/(measured position at the nth scan+predicted position of the target))*time between observations . Smoothed Velocity is the rate of change of its position with respect to a frame of reference, measured position at the nth scan, predicted position of the target and time between observations is the average time.
How to calculate Velocity Smoothing Parameter?
The Velocity Smoothing Parameter formula is defined as instantaneous, so the acceleration of a rigid body can be rather spiky (non-smooth) · velocity (angular velocity) is calculated using velocity_smoothing_parameter = (Smoothed Velocity-measured position at the nth scan/(measured position at the nth scan+predicted position of the target))*time between observations . To calculate Velocity Smoothing Parameter, you need Smoothed Velocity (S.V), measured position at the nth scan (xn), predicted position of the target (xpm) and time between observations (Ts). With our tool, you need to enter the respective value for Smoothed Velocity, measured position at the nth scan, predicted position of the target and time between observations and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate velocity smoothing parameter?
In this formula, velocity smoothing parameter uses Smoothed Velocity, measured position at the nth scan, predicted position of the target and time between observations. We can use 10 other way(s) to calculate the same, which is/are as follows -
• doppler_frequency_shift = 2*target velocity/Wavelength
• cw_oscillator_voltage = Amplitude Of Reference signal*sin(2*3.14*frequency*Time)
• amplitude_of_reference_signal = CW oscillator voltage/(sin(2*3.14*frequency*Time))
• amplitude_of_the_signal_received = Echo Signal Voltage/(2*3.14*(carrier frequency+doppler frequency shift)*Time-(4*3.14*carrier frequency*Range/Speed of Light))
• distance_from_antenna_1 = Range+Distance/2*sin(Theta)
• distance_from_antenna_2 = Range-Distance/2*sin(Theta)
• phase_difference_echo_signals = 2*3.14*Distance*sin(Theta)/Wavelength
• range_resolution = (radar antenna height*target height)/Range
• radar_antenna_height = (Range-resolution*Range) /target height
• target_height = (Range-resolution*Range)/radar antenna height
Where is the Velocity Smoothing Parameter calculator used?
Among many, Velocity Smoothing Parameter calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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