Phase Difference between Echo Signals in Monopulse Radar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength
ΔΦ = 2*pi*sa*sin(θ)/λ
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Phase Difference between Echo Signals - (Measured in Radian) - Phase Difference between Echo Signals refers to the difference in the phase of the received radar signals from multiple targets or multiple reflections from the same target.
Distance between Antennas in Monopulse Radar - (Measured in Meter) - Distance between Antennas in Monopulse Radar is the distance between the two antennas mounted on the phase comparison Monopulse Radar.
Angle in Monopulse Radar - (Measured in Radian) - Angle in Monopulse Radar refers to the direction or angle of arrival (AoA) of a target relative to the radar system.
Wavelength - (Measured in Meter) - Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.
STEP 1: Convert Input(s) to Base Unit
Distance between Antennas in Monopulse Radar: 0.45 Meter --> 0.45 Meter No Conversion Required
Angle in Monopulse Radar: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Wavelength: 0.58 Meter --> 0.58 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔΦ = 2*pi*sa*sin(θ)/λ --> 2*pi*0.45*sin(1.0471975511964)/0.58
Evaluating ... ...
ΔΦ = 4.22177438226882
STEP 3: Convert Result to Output's Unit
4.22177438226882 Radian --> No Conversion Required
FINAL ANSWER
4.22177438226882 4.221774 Radian <-- Phase Difference between Echo Signals
(Calculation completed in 00.004 seconds)

Credits

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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)

Phase Difference between Echo Signals in Monopulse Radar Formula

Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength
ΔΦ = 2*pi*sa*sin(θ)/λ

What are echo signals?

In audio signal processing and acoustics, an echo is a reflection of sound that arrives at the listener with a delay after the direct sound. The delay is directly proportional to the distance of the reflecting surface from the source and the listener.

How to Calculate Phase Difference between Echo Signals in Monopulse Radar?

Phase Difference between Echo Signals in Monopulse Radar calculator uses Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength to calculate the Phase Difference between Echo Signals, The Phase Difference between Echo Signals in Monopulse Radar formula is defined as difference in degrees or radians when two or more alternating quantities reach their maximum or zero values. Phase Difference between Echo Signals is denoted by ΔΦ symbol.

How to calculate Phase Difference between Echo Signals in Monopulse Radar using this online calculator? To use this online calculator for Phase Difference between Echo Signals in Monopulse Radar, enter Distance between Antennas in Monopulse Radar (sa), Angle in Monopulse Radar (θ) & Wavelength (λ) and hit the calculate button. Here is how the Phase Difference between Echo Signals in Monopulse Radar calculation can be explained with given input values -> 4.221774 = 2*pi*0.45*sin(1.0471975511964)/0.58.

FAQ

What is Phase Difference between Echo Signals in Monopulse Radar?
The Phase Difference between Echo Signals in Monopulse Radar formula is defined as difference in degrees or radians when two or more alternating quantities reach their maximum or zero values and is represented as ΔΦ = 2*pi*sa*sin(θ)/λ or Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength. Distance between Antennas in Monopulse Radar is the distance between the two antennas mounted on the phase comparison Monopulse Radar, Angle in Monopulse Radar refers to the direction or angle of arrival (AoA) of a target relative to the radar system & Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.
How to calculate Phase Difference between Echo Signals in Monopulse Radar?
The Phase Difference between Echo Signals in Monopulse Radar formula is defined as difference in degrees or radians when two or more alternating quantities reach their maximum or zero values is calculated using Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength. To calculate Phase Difference between Echo Signals in Monopulse Radar, you need Distance between Antennas in Monopulse Radar (sa), Angle in Monopulse Radar (θ) & Wavelength (λ). With our tool, you need to enter the respective value for Distance between Antennas in Monopulse Radar, Angle in Monopulse Radar & Wavelength 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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