HCF of three numbers

Time between Observations Calculator

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Special Purpose Radars Radar and Antenna Specifications Radar Antennas Reception

✖Velocity Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed velocity estimated by the track-while-scan surveillance radar to avoid noisy measurements.ⓘ Velocity Smoothing Parameter [β]			+10% -10%
✖Smoothed Velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar.ⓘ Smoothed Velocity [v_s]			+10% -10%
✖(n-1)th Scan Smoothed Velocity is the smoothed estimate of target's velocity at the n-1 th scan by the track-while-scan surveillance radar.ⓘ (n-1)th Scan Smoothed Velocity [v_s(n-1)]			+10% -10%
✖Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.ⓘ Measured Position at Nth Scan [x_n]			+10% -10%
✖Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar.ⓘ Target Predicted Position [x_pn]			+10% -10%

✖Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar.ⓘ Time between Observations [T_s]

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Time between Observations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position)
T_s = (β/(v_s-v_s(n-1)))*(x_n-x_pn)
This formula uses 6 Variables

Variables Used

Time between Observations - (Measured in Second) - Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar.
Velocity Smoothing Parameter - Velocity Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed velocity estimated by the track-while-scan surveillance radar to avoid noisy measurements.
Smoothed Velocity - (Measured in Meter per Second) - Smoothed Velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar.
(n-1)th Scan Smoothed Velocity - (Measured in Meter per Second) - (n-1)th Scan Smoothed Velocity is the smoothed estimate of target's velocity at the n-1 th scan by the track-while-scan surveillance radar.
Measured Position at Nth Scan - (Measured in Meter) - Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.
Target Predicted Position - (Measured in Meter) - Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar.

STEP 1: Convert Input(s) to Base Unit

Velocity Smoothing Parameter: 8 --> No Conversion Required
Smoothed Velocity: 9.3 Meter per Second --> 9.3 Meter per Second No Conversion Required
(n-1)th Scan Smoothed Velocity: 11 Meter per Second --> 11 Meter per Second No Conversion Required
Measured Position at Nth Scan: 6 Meter --> 6 Meter No Conversion Required
Target Predicted Position: 74 Meter --> 74 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_s = (β/(v_s-v_s(n-1)))*(x_n-x_pn) --> (8/(9.3-11))*(6-74)

Evaluating ... ...

T_s = 320

STEP 3: Convert Result to Output's Unit

320 Second --> No Conversion Required

FINAL ANSWER

320 Second <-- Time between Observations

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Special Purpose Radars Calculators

Amplitude of Signal Received from Target at Range

LaTeX Go Amplitude of Signal Received = Echo Signal Voltage/(sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])))

Amplitude of Reference Signal

LaTeX Go Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))

Reference Voltage of CW Oscillator

LaTeX Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)

Doppler Frequency Shift

LaTeX Go Doppler Frequency Shift = (2*Target Velocity)/Wavelength

Time between Observations Formula

LaTeX Go

What is Smoothed Velocity?

Smoothed velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar. The Smoothed Velocity as in spite of some inherent limitations, smooth models are well adapted to run reflection tomography coupled with migration velocity analysis for the imaging.

How to Calculate Time between Observations?

Time between Observations calculator uses Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position) 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 is denoted by T_s 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 (v_s), (n-1)th Scan Smoothed Velocity (v_s(n-1)), Measured Position at Nth Scan (x_n) & Target Predicted Position (x_pn) and hit the calculate button. Here is how the Time between Observations calculation can be explained with given input values -> -272 = (8/(9.3-11))*(6-74).

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 T_s = (β/(v_s-v_s(n-1)))*(x_n-x_pn) or Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position). Velocity Smoothing Parameter is the tuning parameter which is used to improve the quality of smoothed velocity estimated by the track-while-scan surveillance radar to avoid noisy measurements, Smoothed Velocity is the smoothed estimate of target's present velocity on the basis of the past detections by the track-while-scan surveillance radar, (n-1)th Scan Smoothed Velocity is the smoothed estimate of target's velocity at the n-1 th scan by the track-while-scan surveillance radar, Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar & Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar.

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-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position). To calculate Time between Observations, you need Velocity Smoothing Parameter (β), Smoothed Velocity (v_s), (n-1)th Scan Smoothed Velocity (v_s(n-1)), Measured Position at Nth Scan (x_n) & Target Predicted Position (x_pn). With our tool, you need to enter the respective value for Velocity Smoothing Parameter, Smoothed Velocity, (n-1)th Scan Smoothed Velocity, Measured Position at Nth Scan & Target Predicted Position and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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