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Time between Observations Formula

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Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar. Check FAQs

T s = (\frac{β}{v s - v s(n-1)}) \cdot (x n - x pn)

T_s - Time between Observations?β - Velocity Smoothing Parameter?v_s - Smoothed Velocity?v_s(n-1) - (n-1)th Scan Smoothed Velocity?x_n - Measured Position at Nth Scan?x_pn - Target Predicted Position?

Time between Observations Example

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Here is how the Time between Observations equation looks like with Values.

Here is how the Time between Observations equation looks like with Units.

Here is how the Time between Observations equation looks like.

320 = (\frac{8}{9.3 - 11}) \cdot (6 - 74)

320s = (\frac{8}{9.3m/s - 11m/s}) \cdot (6m - 74m)

320 = (\frac{8}{9.3 - 11}) \cdot (6 - 74)

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Time between Observations Solution

Follow our step by step solution on how to calculate Time between Observations?

FIRST Step Consider the formula

T s = (\frac{β}{v s - v s(n-1)}) \cdot (x n - x pn)

Next Step Substitute values of Variables

∴

T s = (\frac{8}{9.3m/s - 11m/s}) \cdot (6m - 74m)

Next Step Prepare to Evaluate

∴

T s = (\frac{8}{9.3 - 11}) \cdot (6 - 74)

LAST Step Evaluate

∴

T s = 320s

Time between Observations Formula Elements

Variables

Time between Observations

Time between observations is the time taken between two successive observations made by the track-while-scan surveillance radar.

Symbol: T_s

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time between Observations

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.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Velocity Smoothing Parameter

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.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Smoothed Velocity

(n-1)th Scan Smoothed Velocity

(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.

Symbol: v_s(n-1)

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find (n-1)th Scan Smoothed Velocity

Measured Position at Nth Scan

Measured position at Nth scan is the measured or actual position of target at the nth scan by the track-while-scan surveillance radar.

Symbol: x_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Measured Position at Nth Scan

Target Predicted Position

Target Predicted Position is the predicted or estimated position of target at the nth scan by the track-while-scan surveillance radar.

Symbol: x_pn

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Target Predicted Position

Other formulas in Special Purpose Radars category

Go Doppler Frequency Shift

Δf d = \frac{2 \cdot v t}{λ}

Go Reference Voltage of CW Oscillator

V ref = A ref \cdot \sin (2 \cdot π \cdot ω \cdot T)

Go Amplitude of Reference Signal

A ref = \frac{V ref}{\sin (2 \cdot π \cdot ω \cdot T)}

Go Amplitude of Signal Received from Target at Range

A rec = \frac{V echo}{\sin ((2 \cdot π \cdot (f c + Δf d) \cdot T) - (\frac{4 \cdot π \cdot f c \cdot R o}{[c]}))}

How to Evaluate Time between Observations?

Time between Observations evaluator uses Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position) to evaluate 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 evaluate Time between Observations using this online evaluator? To use this online evaluator 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.

FAQs on Time between Observations

What is the formula to find Time between Observations?

The formula of Time between Observations is expressed as Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position). Here is an example- -272 = (8/(9.3-11))*(6-74).

How to calculate Time between Observations?

With 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) we can find Time between Observations using the formula - Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position).

Can the Time between Observations be negative?

No, the Time between Observations, measured in Time cannot be negative.

Which unit is used to measure Time between Observations?

Time between Observations is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time between Observations can be measured.

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Time between Observations Formula

Time between Observations Example

Time between Observations Solution

Time between Observations Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Time between Observations?

FAQs on Time between Observations

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