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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!

## Position Smoothing parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
position_smoothing_parameter = (Smoothed position-predicted position of the target)/(measured position at the nth scan+predicted position of the target)
α = (xin-xpm)/(xn+xpm)
This formula uses 3 Variables
Variables Used
Smoothed position - Smoothed position is the estimation of target present position (Measured in Meter)
predicted position of the target - predicted position of the target (Measured in Meter)
measured position at the nth scan- measured position at the nth scan
STEP 1: Convert Input(s) to Base Unit
Smoothed position: 4 Meter --> 4 Meter No Conversion Required
predicted position of the target: 1 Meter --> 1 Meter No Conversion Required
measured position at the nth scan: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = (xin-xpm)/(xn+xpm) --> (4-1)/(1+1)
Evaluating ... ...
α = 1.5
STEP 3: Convert Result to Output's Unit
1.5 --> No Conversion Required
1.5 <-- position smoothing parameter
(Calculation completed in 00.011 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 = (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

### Position Smoothing parameter Formula

position_smoothing_parameter = (Smoothed position-predicted position of the target)/(measured position at the nth scan+predicted position of the target)
α = (xin-xpm)/(xn+xpm)

## 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 Position Smoothing parameter?

Position Smoothing parameter calculator uses position_smoothing_parameter = (Smoothed position-predicted position of the target)/(measured position at the nth scan+predicted position of the target) to calculate the position smoothing parameter, The Position Smoothing parameter formula is defined as a user-specified input to the procedure called the "bandwidth" or "smoothing parameter" determines how much of the data is used to fit each local polynomial. position smoothing parameter and is denoted by α symbol.

How to calculate Position Smoothing parameter using this online calculator? To use this online calculator for Position Smoothing parameter, enter Smoothed position (xin), predicted position of the target (xpm) and measured position at the nth scan (xn) and hit the calculate button. Here is how the Position Smoothing parameter calculation can be explained with given input values -> 1.5 = (4-1)/(1+1) .

### FAQ

What is Position Smoothing parameter?
The Position Smoothing parameter formula is defined as a user-specified input to the procedure called the "bandwidth" or "smoothing parameter" determines how much of the data is used to fit each local polynomial and is represented as α = (xin-xpm)/(xn+xpm) or position_smoothing_parameter = (Smoothed position-predicted position of the target)/(measured position at the nth scan+predicted position of the target) . Smoothed position is the estimation of target present position, predicted position of the target and measured position at the nth scan.
How to calculate Position Smoothing parameter?
The Position Smoothing parameter formula is defined as a user-specified input to the procedure called the "bandwidth" or "smoothing parameter" determines how much of the data is used to fit each local polynomial is calculated using position_smoothing_parameter = (Smoothed position-predicted position of the target)/(measured position at the nth scan+predicted position of the target) . To calculate Position Smoothing parameter, you need Smoothed position (xin), predicted position of the target (xpm) and measured position at the nth scan (xn). With our tool, you need to enter the respective value for Smoothed position, predicted position of the target and measured position at the nth scan 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 position smoothing parameter?
In this formula, position smoothing parameter uses Smoothed position, predicted position of the target and measured position at the nth scan. 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 Position Smoothing parameter calculator used?
Among many, Position Smoothing parameter calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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