Range Resolution Solution

STEP 0: Pre-Calculation Summary
Formula Used
Range Resolution = (2*Antenna Height*Target Height)/Range
ΔR = (2*Ha*Ht)/Ro
This formula uses 4 Variables
Variables Used
Range Resolution - (Measured in Meter) - Range Resolution is the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges.
Antenna Height - (Measured in Meter) - Antenna Height is the height of the antenna that it must be placed high above the ground in terms of the wavelength of the radio wave being transmitted.
Target Height - (Measured in Meter) - Target height is defined as the distance of a target above the Earth's surface (height above ground).
Range - (Measured in Meter) - Range refers to the distance between the radar antenna (or the radar system) and a target or object that reflects the radar signal.
STEP 1: Convert Input(s) to Base Unit
Antenna Height: 450 Meter --> 450 Meter No Conversion Required
Target Height: 400 Meter --> 400 Meter No Conversion Required
Range: 40000 Meter --> 40000 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔR = (2*Ha*Ht)/Ro --> (2*450*400)/40000
Evaluating ... ...
ΔR = 9
STEP 3: Convert Result to Output's Unit
9 Meter --> No Conversion Required
FINAL ANSWER
9 Meter <-- Range Resolution
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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21 Special Purpose Radars Calculators

Amplitude of Signal Received from Target at Range
Go Amplitude of Signal Received = Echo Signal Voltage/(sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])))
Echo Signal Voltage
Go Echo Signal Voltage = Amplitude of Signal Received*sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c]))
Velocity Smoothing Parameter
Go Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations
Time between Observations
Go Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position)
Smoothed Velocity
Go Smoothed Velocity = (n-1)th Scan Smoothed Velocity+Velocity Smoothing Parameter/Time between Observations*(Measured Position at Nth Scan-Target Predicted Position)
Phase Difference between Echo Signals in Monopulse Radar
Go Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength
Predicted Position of Target
Go Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter)
Amplitude of Reference Signal
Go Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))
Measured Position at Nth Scan
Go Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+Target Predicted Position
Position Smoothing Parameter
Go Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position)
Reference Voltage of CW Oscillator
Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)
Smoothed Position
Go Smoothed Position = Target Predicted Position+Position Smoothing Parameter*(Measured Position at Nth Scan-Target Predicted Position)
Distance from Antenna 1 to Target in Monopulse Radar
Go Distance from Antenna 1 to Target = (Range+Distance between Antennas in Monopulse Radar)/2*sin(Angle in Monopulse Radar)
Distance from Antenna 2 to Target in Monopulse Radar
Go Distance from Antenna 2 to Target = (Range-Distance between Antennas in Monopulse Radar)/2*sin(Angle in Monopulse Radar)
CFA DC Power Input
Go DC Power Input = (CFA RF Power Output-CFA RF Drive Power)/Efficiency of Cross Field Amplifier
Efficiency of Cross Field Amplifier(CFA)
Go Efficiency of Cross Field Amplifier = (CFA RF Power Output-CFA RF Drive Power)/DC Power Input
CFA RF Power Output
Go CFA RF Power Output = Efficiency of Cross Field Amplifier*DC Power Input+CFA RF Drive Power
CFA RF Drive Power
Go CFA RF Drive Power = CFA RF Power Output-Efficiency of Cross Field Amplifier*DC Power Input
Range Resolution
Go Range Resolution = (2*Antenna Height*Target Height)/Range
Doppler Frequency Shift
Go Doppler Frequency Shift = (2*Target Velocity)/Wavelength
Peak Quantization Lobe
Go Peak Quantization Lobe = 1/2^(2*Mean Lobe)

Range Resolution Formula

Range Resolution = (2*Antenna Height*Target Height)/Range
ΔR = (2*Ha*Ht)/Ro

Are there any restrictions on what Still-pipe Material can be used?

Any type of conductive material can be used as long as it is compatible with the process media.If the material is not conductive it will be transparent to the radar-beams and therefore it will have no effect.

How to Calculate Range Resolution?

Range Resolution calculator uses Range Resolution = (2*Antenna Height*Target Height)/Range to calculate the Range Resolution, The Range resolution formula is defined as the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges. The degree of range resolution depends on the width of the transmitted pulse, the types and sizes of targets, and the efficiency of the receiver and indicator. Range Resolution is denoted by ΔR symbol.

How to calculate Range Resolution using this online calculator? To use this online calculator for Range Resolution, enter Antenna Height (Ha), Target Height (Ht) & Range (Ro) and hit the calculate button. Here is how the Range Resolution calculation can be explained with given input values -> 18 = (2*450*400)/40000.

FAQ

What is Range Resolution?
The Range resolution formula is defined as the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges. The degree of range resolution depends on the width of the transmitted pulse, the types and sizes of targets, and the efficiency of the receiver and indicator and is represented as ΔR = (2*Ha*Ht)/Ro or Range Resolution = (2*Antenna Height*Target Height)/Range. Antenna Height is the height of the antenna that it must be placed high above the ground in terms of the wavelength of the radio wave being transmitted, Target height is defined as the distance of a target above the Earth's surface (height above ground) & Range refers to the distance between the radar antenna (or the radar system) and a target or object that reflects the radar signal.
How to calculate Range Resolution?
The Range resolution formula is defined as the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges. The degree of range resolution depends on the width of the transmitted pulse, the types and sizes of targets, and the efficiency of the receiver and indicator is calculated using Range Resolution = (2*Antenna Height*Target Height)/Range. To calculate Range Resolution, you need Antenna Height (Ha), Target Height (Ht) & Range (Ro). With our tool, you need to enter the respective value for Antenna Height, Target Height & Range 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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