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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 position Solution

STEP 0: Pre-Calculation Summary
Formula Used
smoothed_position = predicted position of the target+position smoothing parameter*(measured position at the nth scan+predicted position of the target)
xin = xpm+α*(xn+xpm)
This formula uses 3 Variables
Variables Used
predicted position of the target - predicted position of the target (Measured in Meter)
position smoothing parameter- position smoothing parameter is smoothing parameter
measured position at the nth scan- measured position at the nth scan
STEP 1: Convert Input(s) to Base Unit
predicted position of the target: 1 Meter --> 1 Meter No Conversion Required
position smoothing parameter: 9 --> No Conversion Required
measured position at the nth scan: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xin = xpm+α*(xn+xpm) --> 1+9*(1+1)
Evaluating ... ...
xin = 19
STEP 3: Convert Result to Output's Unit
19 Meter --> No Conversion Required
FINAL ANSWER
19 Meter <-- Smoothed position
(Calculation completed in 00.016 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 position Formula

smoothed_position = predicted position of the target+position smoothing parameter*(measured position at the nth scan+predicted position of the target)
xin = xpm+α*(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 Smoothed position?

Smoothed position calculator uses smoothed_position = predicted position of the target+position smoothing parameter*(measured position at the nth scan+predicted position of the target) to calculate the Smoothed position, The Smoothed position formula is defined as on the basis of previous result radar is made smoothed position to estimate target easily. Smoothed position and is denoted by xin symbol.

How to calculate Smoothed position using this online calculator? To use this online calculator for Smoothed position, enter predicted position of the target (xpm), position smoothing parameter (α) and measured position at the nth scan (xn) and hit the calculate button. Here is how the Smoothed position calculation can be explained with given input values -> 19 = 1+9*(1+1).

### FAQ

What is Smoothed position?
The Smoothed position formula is defined as on the basis of previous result radar is made smoothed position to estimate target easily and is represented as xin = xpm+α*(xn+xpm) or smoothed_position = predicted position of the target+position smoothing parameter*(measured position at the nth scan+predicted position of the target). predicted position of the target, position smoothing parameter is smoothing parameter and measured position at the nth scan.
How to calculate Smoothed position?
The Smoothed position formula is defined as on the basis of previous result radar is made smoothed position to estimate target easily is calculated using smoothed_position = predicted position of the target+position smoothing parameter*(measured position at the nth scan+predicted position of the target). To calculate Smoothed position, you need predicted position of the target (xpm), position smoothing parameter (α) and measured position at the nth scan (xn). With our tool, you need to enter the respective value for predicted position of the target, position smoothing parameter 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 Smoothed position?
In this formula, Smoothed position uses predicted position of the target, position smoothing parameter 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 Smoothed position calculator used?
Among many, Smoothed position calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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