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Amplitude of Reference Signal Formula

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Amplitude of Reference Signal refers to the strength or magnitude of the signal used as a reference for comparison with the received echo signal in radar systems. Check FAQs

A ref = \frac{V ref}{\sin (2 \cdot π \cdot ω \cdot T)}

A_ref - Amplitude of Reference Signal?V_ref - CW Oscillator Reference Voltage?ω - Angular Frequency?T - Time Period?π - Archimedes' constant?

Amplitude of Reference Signal Example

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Here is how the Amplitude of Reference Signal equation looks like with Values.

Here is how the Amplitude of Reference Signal equation looks like with Units.

Here is how the Amplitude of Reference Signal equation looks like.

40.1971 = \frac{1.25}{\sin (2 \cdot 3.1416 \cdot 99 \cdot 50)}

40.1971V = \frac{1.25V}{\sin (2 \cdot 3.1416 \cdot 99rad/s \cdot 50μs)}

40.1971 = \frac{1.25}{\sin (2 \cdot 3.1416 \cdot 99 \cdot 50)}

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Amplitude of Reference Signal Solution

Follow our step by step solution on how to calculate Amplitude of Reference Signal?

FIRST Step Consider the formula

A ref = \frac{V ref}{\sin (2 \cdot π \cdot ω \cdot T)}

Next Step Substitute values of Variables

∴

A ref = \frac{1.25V}{\sin (2 \cdot π \cdot 99rad/s \cdot 50μs)}

Next Step Substitute values of Constants

∴

A ref = \frac{1.25V}{\sin (2 \cdot 3.1416 \cdot 99rad/s \cdot 50μs)}

Next Step Convert Units

∴

A ref = \frac{1.25V}{\sin (2 \cdot 3.1416 \cdot 99rad/s \cdot 5E-5s)}

Next Step Prepare to Evaluate

∴

A ref = \frac{1.25}{\sin (2 \cdot 3.1416 \cdot 99 \cdot 5E-5)}

Next Step Evaluate

∴

A ref = 40.1971224610871V

LAST Step Rounding Answer

∴

A ref = 40.1971V

Amplitude of Reference Signal Formula Elements

Variables

Constants

Functions

Amplitude of Reference Signal

Amplitude of Reference Signal refers to the strength or magnitude of the signal used as a reference for comparison with the received echo signal in radar systems.

Symbol: A_ref

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Amplitude of Reference Signal

CW Oscillator Reference Voltage

CW Oscillator Reference Voltage refers to the voltage level used to set the frequency of the CW oscillator.

Symbol: V_ref

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find CW Oscillator Reference Voltage

Angular Frequency

Angular Frequency frequency of a steadily recurring phenomenon expressed in radians per second. A frequency in hertz can be converted to an angular frequency by multiplying it by 2π.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Frequency

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

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 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]}))}

Go Distance from Antenna 1 to Target in Monopulse Radar

s 1 = \frac{R o + s a}{2} \cdot \sin (θ)

How to Evaluate Amplitude of Reference Signal?

Amplitude of Reference Signal evaluator uses Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period)) to evaluate the Amplitude of Reference Signal, Amplitude of Reference signal refers to the strength or magnitude of the signal used as a reference for comparison with the received echo signal in radar systems. Amplitude of Reference Signal is denoted by A_ref symbol.

How to evaluate Amplitude of Reference Signal using this online evaluator? To use this online evaluator for Amplitude of Reference Signal, enter CW Oscillator Reference Voltage (V_ref), Angular Frequency (ω) & Time Period (T) and hit the calculate button.

FAQs on Amplitude of Reference Signal

What is the formula to find Amplitude of Reference Signal?

The formula of Amplitude of Reference Signal is expressed as Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period)). Here is an example- 40.19712 = 1.25/(sin(2*pi*99*5E-05)).

How to calculate Amplitude of Reference Signal?

With CW Oscillator Reference Voltage (V_ref), Angular Frequency (ω) & Time Period (T) we can find Amplitude of Reference Signal using the formula - Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period)). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Amplitude of Reference Signal be negative?

Yes, the Amplitude of Reference Signal, measured in Electric Potential can be negative.

Which unit is used to measure Amplitude of Reference Signal?

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

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Amplitude of Reference Signal Formula

Amplitude of Reference Signal Example

Amplitude of Reference Signal Solution

Amplitude of Reference Signal Formula Elements

Other formulas in Special Purpose Radars category

How to Evaluate Amplitude of Reference Signal?

FAQs on Amplitude of Reference Signal

Variable Name