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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!

## Smoothed Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
smoothed_velocity = measured position at the nth scan+velocity smoothing parameter/time between observations*(measured position at the nth scan+predicted position of the target)
S.V = xn+β/Ts*(xn+xpm)
This formula uses 4 Variables
Variables Used
measured position at the nth scan- measured position at the nth scan
velocity smoothing parameter- velocity smoothing parameter is the rate of change of its position with respect to a frame of reference
time between observations - time between observations is the average time (Measured in Second)
predicted position of the target - predicted position of the target (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
measured position at the nth scan: 1 --> No Conversion Required
velocity smoothing parameter: 8 --> No Conversion Required
time between observations: 20 Second --> 20 Second No Conversion Required
predicted position of the target: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S.V = xn+β/Ts*(xn+xpm) --> 1+8/20*(1+1)
Evaluating ... ...
S.V = 1.8
STEP 3: Convert Result to Output's Unit
1.8 Meter per Second --> No Conversion Required
FINAL ANSWER
1.8 Meter per Second <-- Smoothed Velocity
(Calculation completed in 00.021 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

### Smoothed Velocity Formula

smoothed_velocity = measured position at the nth scan+velocity smoothing parameter/time between observations*(measured position at the nth scan+predicted position of the target)
S.V = xn+β/Ts*(xn+xpm)

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## How to Calculate Smoothed Velocity?

Smoothed Velocity calculator uses smoothed_velocity = measured position at the nth scan+velocity smoothing parameter/time between observations*(measured position at the nth scan+predicted position of the target) to calculate the Smoothed Velocity, The Smoothed Velocity formula is defined as in spite of some inherent limitations, smooth models are well adapted to run reflection tomography coupled with migration velocity analysis for the imaging. Smoothed Velocity and is denoted by S.V symbol.

How to calculate Smoothed Velocity using this online calculator? To use this online calculator for Smoothed Velocity, enter measured position at the nth scan (xn), velocity smoothing parameter (β), time between observations (Ts) and predicted position of the target (xpm) and hit the calculate button. Here is how the Smoothed Velocity calculation can be explained with given input values -> 1.8 = 1+8/20*(1+1) .

### FAQ

What is Smoothed Velocity?
The Smoothed Velocity formula is defined as in spite of some inherent limitations, smooth models are well adapted to run reflection tomography coupled with migration velocity analysis for the imaging and is represented as S.V = xn+β/Ts*(xn+xpm) or smoothed_velocity = measured position at the nth scan+velocity smoothing parameter/time between observations*(measured position at the nth scan+predicted position of the target) . measured position at the nth scan, velocity smoothing parameter is the rate of change of its position with respect to a frame of reference, time between observations is the average time and predicted position of the target.
How to calculate Smoothed Velocity?
The Smoothed Velocity formula is defined as in spite of some inherent limitations, smooth models are well adapted to run reflection tomography coupled with migration velocity analysis for the imaging is calculated using smoothed_velocity = measured position at the nth scan+velocity smoothing parameter/time between observations*(measured position at the nth scan+predicted position of the target) . To calculate Smoothed Velocity, you need measured position at the nth scan (xn), velocity smoothing parameter (β), time between observations (Ts) and predicted position of the target (xpm). With our tool, you need to enter the respective value for measured position at the nth scan, velocity smoothing parameter, time between observations and predicted position of the target 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 Smoothed Velocity?
In this formula, Smoothed Velocity uses measured position at the nth scan, velocity smoothing parameter, time between observations and predicted position of the target. 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 Smoothed Velocity calculator used?
Among many, Smoothed Velocity calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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