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)

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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

Phase Difference between Echo Signals in Monopulse Radar Formula

​LaTeX ​Go
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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