Phase Difference between Echo Signals in Monopulse Radar Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Special Purpose Radars

Radar & Antenna Specifications

Radar Antennas Reception

✖Distance between Antennas in Monopulse Radar is the distance between the two antennas mounted on the phase comparison Monopulse Radar.ⓘ Distance between Antennas in Monopulse Radar [s_a]			+10% -10%
✖Angle in Monopulse Radar refers to the direction or angle of arrival (AoA) of a target relative to the radar system.ⓘ Angle in Monopulse Radar [θ]			+10% -10%
✖Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.ⓘ Wavelength [λ]			+10% -10%

✖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.ⓘ Phase Difference between Echo Signals in Monopulse Radar [Δ_Φ]

⎘ Copy

👎

Formula

✖

Phase Difference between Echo Signals in Monopulse Radar

Formula

`"Δ"_{"Φ"} = 2*pi*"s"_{"a"}*sin("θ")/"λ"`

Example

`"4.221774rad"=2*pi*"0.45m"*sin("60°")/"0.58m"`

Calculator

LaTeX

Reset

👍

Download Special Purpose Radars Formulas PDF PDF Image

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
Δ_Φ = 2*pi*s_a*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

Δ_Φ = 2*pi*s_a*sin(θ)/λ --> 2*pi*0.45*sin(1.0471975511964)/0.58

Evaluating ... ...

Δ_Φ = 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 00.020 seconds)

You are here -

Home » Engineering » Electronics » Radar System » Special Purpose Radars » Phase Difference between Echo Signals in Monopulse Radar

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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))

Reference Voltage of CW Oscillator

Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*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)

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)

Efficiency of Cross Field Amplifier(CFA)

Go Efficiency of Cross Field Amplifier = (CFA RF Power Output-CFA RF Drive Power)/DC Power Input

CFA DC Power Input

Go DC Power Input = (CFA RF Power Output-CFA RF Drive Power)/Efficiency of Cross Field Amplifier

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
Δ_Φ = 2*pi*s_a*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 Δ_Φ 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 (s_a), 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 Δ_Φ = 2*pi*s_a*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 (s_a), 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.

Home

FREE PDFs

🔍 Search