FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Echo Signal Voltage Formula

Fx Copy

LaTeX Copy

Echo Signal Voltage refers to the electrical signal that is received by the radar receiver after the transmitted radar signal reflects off a target and returns to the radar antenna. Check FAQs

V echo = A rec \cdot \sin ((2 \cdot π \cdot (f c + Δf d) \cdot T) - (\frac{4 \cdot π \cdot f c \cdot R o}{[c]}))

V_echo - Echo Signal Voltage?A_rec - Amplitude of Signal Received?f_c - Carrier Frequency?Δf_d - Doppler Frequency Shift?T - Time Period?R_o - Range?[c] - Light speed in vacuum?π - Archimedes' constant?

Echo Signal Voltage Example

With values

With units

Only example

Here is how the Echo Signal Voltage equation looks like with Values.

Here is how the Echo Signal Voltage equation looks like with Units.

Here is how the Echo Signal Voltage equation looks like.

101.7281 = 126 \cdot \sin ((2 \cdot 3.1416 \cdot (3000 + 20) \cdot 50) - (\frac{4 \cdot 3.1416 \cdot 3000 \cdot 40000}{3E+8}))

101.7281V = 126V \cdot \sin ((2 \cdot 3.1416 \cdot (3000Hz + 20Hz) \cdot 50μs) - (\frac{4 \cdot 3.1416 \cdot 3000Hz \cdot 40000m}{3E+8m/s}))

101.7281 = 126 \cdot \sin ((2 \cdot 3.1416 \cdot (3000 + 20) \cdot 50) - (\frac{4 \cdot 3.1416 \cdot 3000 \cdot 40000}{3E+8}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Radar System » fx Echo Signal Voltage

Echo Signal Voltage Solution

Follow our step by step solution on how to calculate Echo Signal Voltage?

FIRST Step Consider the formula

V echo = A rec \cdot \sin ((2 \cdot π \cdot (f c + Δf d) \cdot T) - (\frac{4 \cdot π \cdot f c \cdot R o}{[c]}))

Next Step Substitute values of Variables

∴

V echo = 126V \cdot \sin ((2 \cdot π \cdot (3000Hz + 20Hz) \cdot 50μs) - (\frac{4 \cdot π \cdot 3000Hz \cdot 40000m}{[c]}))

Next Step Substitute values of Constants

∴

V echo = 126V \cdot \sin ((2 \cdot 3.1416 \cdot (3000Hz + 20Hz) \cdot 50μs) - (\frac{4 \cdot 3.1416 \cdot 3000Hz \cdot 40000m}{3E+8m/s}))

Next Step Convert Units

∴

V echo = 126V \cdot \sin ((2 \cdot 3.1416 \cdot (3000Hz + 20Hz) \cdot 5E-5s) - (\frac{4 \cdot 3.1416 \cdot 3000Hz \cdot 40000m}{3E+8m/s}))

Next Step Prepare to Evaluate

∴

V echo = 126 \cdot \sin ((2 \cdot 3.1416 \cdot (3000 + 20) \cdot 5E-5) - (\frac{4 \cdot 3.1416 \cdot 3000 \cdot 40000}{3E+8}))

Next Step Evaluate

∴

V echo = 101.728120166902V

LAST Step Rounding Answer

∴

V echo = 101.7281V

Echo Signal Voltage Formula Elements

Variables

Constants

Functions

Echo Signal Voltage

Echo Signal Voltage refers to the electrical signal that is received by the radar receiver after the transmitted radar signal reflects off a target and returns to the radar antenna.

Symbol: V_echo

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Echo Signal Voltage

Amplitude of Signal Received

Amplitude of Signal Received refers to the strength or magnitude of the echo signal that is detected by the radar receiver after it reflects off a target.

Symbol: A_rec

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Amplitude of Signal Received

Carrier Frequency

Carrier Frequency refers to the constant and unmodulated radio frequency (RF) signal that is transmitted by the radar system.

Symbol: f_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Carrier Frequency

Doppler Frequency Shift

Doppler frequency shift is the change in frequency of a wave in relation to an observer who is moving relative to the wave source.

Symbol: Δf_d

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Doppler Frequency Shift

Time Period

Time Period refers to the total time radar takes for one complete cycle of operation, the time gap between successive pulses and any other time intervals related to the radar's operation.

Symbol: T

Measurement: TimeUnit: μs

Note: Value should be greater than 0.

Formulas to find Time Period

Range

Range refers to the distance between the radar antenna (or the radar system) and a target or object that reflects the radar signal.

Symbol: R_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Range

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

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 Echo Signal Voltage?

Echo Signal Voltage evaluator uses Echo Signal Voltage = Amplitude of Signal Received*sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])) to evaluate the Echo Signal Voltage, The Echo Signal Voltage formula refers to the electrical voltage level of the received radar signal after it has been reflected back from a target. Echo Signal Voltage is denoted by V_echo symbol.

How to evaluate Echo Signal Voltage using this online evaluator? To use this online evaluator for Echo Signal Voltage, enter Amplitude of Signal Received (A_rec), Carrier Frequency (f_c), Doppler Frequency Shift (Δf_d), Time Period (T) & Range (R_o) and hit the calculate button.

FAQs on Echo Signal Voltage

What is the formula to find Echo Signal Voltage?

The formula of Echo Signal Voltage is expressed as Echo Signal Voltage = Amplitude of Signal Received*sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])). Here is an example- 101.7281 = 126*sin((2*pi*(3000+20)*5E-05)-((4*pi*3000*40000)/[c])).

How to calculate Echo Signal Voltage?

With Amplitude of Signal Received (A_rec), Carrier Frequency (f_c), Doppler Frequency Shift (Δf_d), Time Period (T) & Range (R_o) we can find Echo Signal Voltage using the formula - Echo Signal Voltage = Amplitude of Signal Received*sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])). This formula also uses Light speed in vacuum, Archimedes' constant and Sine (sin) function(s).

Can the Echo Signal Voltage be negative?

Yes, the Echo Signal Voltage, measured in Electric Potential can be negative.

Which unit is used to measure Echo Signal Voltage?

Echo Signal Voltage is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Echo Signal Voltage can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Echo Signal Voltage Formula

Echo Signal Voltage Example

Echo Signal Voltage Solution

Echo Signal Voltage Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Echo Signal Voltage?

FAQs on Echo Signal Voltage

Variable Name