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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!

## Time Between Observations Solution

STEP 0: Pre-Calculation Summary
Formula Used
time_between_observations = (velocity smoothing parameter/(Smoothed Velocity-measured position at the nth scan))*(measured position at the nth scan+predicted position of the target)
Ts = (β/(S.V-xn))*(xn+xpm)
This formula uses 4 Variables
Variables Used
velocity smoothing parameter- velocity smoothing parameter is the rate of change of its position with respect to a frame of reference
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)
STEP 1: Convert Input(s) to Base Unit
velocity smoothing parameter: 8 --> No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ts = (β/(S.V-xn))*(xn+xpm) --> (8/(5-1))*(1+1)
Evaluating ... ...
Ts = 4
STEP 3: Convert Result to Output's Unit
4 Second --> No Conversion Required
4 Second <-- time between observations
(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 = (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

### Time Between Observations Formula

time_between_observations = (velocity smoothing parameter/(Smoothed Velocity-measured position at the nth scan))*(measured position at the nth scan+predicted position of the target)
Ts = (β/(S.V-xn))*(xn+xpm)

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## How to Calculate Time Between Observations?

Time Between Observations calculator uses time_between_observations = (velocity smoothing parameter/(Smoothed Velocity-measured position at the nth scan))*(measured position at the nth scan+predicted position of the target) to calculate the time between observations, The Time Between Observations formula is defined as the total time taken between the observation in the velocity as by the prediction of the target. time between observations and is denoted by Ts symbol.

How to calculate Time Between Observations using this online calculator? To use this online calculator for Time Between Observations, enter velocity smoothing parameter (β), Smoothed Velocity (S.V), measured position at the nth scan (xn) and predicted position of the target (xpm) and hit the calculate button. Here is how the Time Between Observations calculation can be explained with given input values -> 4 = (8/(5-1))*(1+1) .

### FAQ

What is Time Between Observations?
The Time Between Observations formula is defined as the total time taken between the observation in the velocity as by the prediction of the target and is represented as Ts = (β/(S.V-xn))*(xn+xpm) or time_between_observations = (velocity smoothing parameter/(Smoothed Velocity-measured position at the nth scan))*(measured position at the nth scan+predicted position of the target) . velocity smoothing parameter is the rate of change of its position with respect to a frame of reference, Smoothed Velocity is the rate of change of its position with respect to a frame of reference, measured position at the nth scan and predicted position of the target.
How to calculate Time Between Observations?
The Time Between Observations formula is defined as the total time taken between the observation in the velocity as by the prediction of the target is calculated using time_between_observations = (velocity smoothing parameter/(Smoothed Velocity-measured position at the nth scan))*(measured position at the nth scan+predicted position of the target) . To calculate Time Between Observations, you need velocity smoothing parameter (β), Smoothed Velocity (S.V), measured position at the nth scan (xn) and predicted position of the target (xpm). With our tool, you need to enter the respective value for velocity smoothing parameter, Smoothed Velocity, measured position at the nth scan 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 time between observations?
In this formula, time between observations uses velocity smoothing parameter, Smoothed Velocity, measured position at the nth scan 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 Time Between Observations calculator used?
Among many, Time Between Observations calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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