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Phase Difference between Echo Signals in Monopulse Radar Formula

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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. Check FAQs

Δ Φ = 2 \cdot π \cdot s a \cdot \frac{\sin (θ)}{λ}

Δ_Φ - Phase Difference between Echo Signals?s_a - Distance between Antennas in Monopulse Radar?θ - Angle in Monopulse Radar?λ - Wavelength?π - Archimedes' constant?

Phase Difference between Echo Signals in Monopulse Radar Example

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Here is how the Phase Difference between Echo Signals in Monopulse Radar equation looks like with Values.

Here is how the Phase Difference between Echo Signals in Monopulse Radar equation looks like with Units.

Here is how the Phase Difference between Echo Signals in Monopulse Radar equation looks like.

4.2218 = 2 \cdot 3.1416 \cdot 0.45 \cdot \frac{\sin (60)}{0.58}

4.2218rad = 2 \cdot 3.1416 \cdot 0.45m \cdot \frac{\sin (60°)}{0.58m}

4.2218 = 2 \cdot 3.1416 \cdot 0.45 \cdot \frac{\sin (60)}{0.58}

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Phase Difference between Echo Signals in Monopulse Radar Solution

Follow our step by step solution on how to calculate Phase Difference between Echo Signals in Monopulse Radar?

FIRST Step Consider the formula

Δ Φ = 2 \cdot π \cdot s a \cdot \frac{\sin (θ)}{λ}

Next Step Substitute values of Variables

∴

Δ Φ = 2 \cdot π \cdot 0.45m \cdot \frac{\sin (60°)}{0.58m}

Next Step Substitute values of Constants

∴

Δ Φ = 2 \cdot 3.1416 \cdot 0.45m \cdot \frac{\sin (60°)}{0.58m}

Next Step Convert Units

∴

Δ Φ = 2 \cdot 3.1416 \cdot 0.45m \cdot \frac{\sin (1.0472rad)}{0.58m}

Next Step Prepare to Evaluate

∴

Δ Φ = 2 \cdot 3.1416 \cdot 0.45 \cdot \frac{\sin (1.0472)}{0.58}

Next Step Evaluate

∴

Δ Φ = 4.22177438226882rad

LAST Step Rounding Answer

∴

Δ Φ = 4.2218rad

Phase Difference between Echo Signals in Monopulse Radar Formula Elements

Variables

Constants

Functions

Phase Difference between Echo Signals

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.

Symbol: Δ_Φ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Phase Difference between Echo Signals

Distance between Antennas in Monopulse Radar

Distance between Antennas in Monopulse Radar is the distance between the two antennas mounted on the phase comparison Monopulse Radar.

Symbol: s_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between Antennas in Monopulse Radar

Angle in Monopulse Radar

Angle in Monopulse Radar refers to the direction or angle of arrival (AoA) of a target relative to the radar system.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle in Monopulse Radar

Wavelength

Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

Symbol: λ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

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 Phase Difference between Echo Signals in Monopulse Radar?

Phase Difference between Echo Signals in Monopulse Radar evaluator uses Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength to evaluate 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 evaluate Phase Difference between Echo Signals in Monopulse Radar using this online evaluator? To use this online evaluator 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.

FAQs on Phase Difference between Echo Signals in Monopulse Radar

What is the formula to find Phase Difference between Echo Signals in Monopulse Radar?

The formula of Phase Difference between Echo Signals in Monopulse Radar is expressed as Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength. Here is an example- 4.221774 = 2*pi*0.45*sin(1.0471975511964)/0.58.

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

With Distance between Antennas in Monopulse Radar (s_a), Angle in Monopulse Radar (θ) & Wavelength (λ) we can find Phase Difference between Echo Signals in Monopulse Radar using the formula - Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength. This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Phase Difference between Echo Signals in Monopulse Radar be negative?

Yes, the Phase Difference between Echo Signals in Monopulse Radar, measured in Angle can be negative.

Which unit is used to measure Phase Difference between Echo Signals in Monopulse Radar?

Phase Difference between Echo Signals in Monopulse Radar is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Phase Difference between Echo Signals in Monopulse Radar can be measured.

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