HCF of two numbers

Amplitude of Reference Signal Calculator

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Special Purpose Radars Radar and Antenna Specifications Radar Antennas Reception

✖CW Oscillator Reference Voltage refers to the voltage level used to set the frequency of the CW oscillator.ⓘ CW Oscillator Reference Voltage [V_ref]			+10% -10%
✖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.ⓘ Angular Frequency [ω]			+10% -10%
✖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.ⓘ Time Period [T]			+10% -10%

✖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 [A_ref]

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Amplitude of Reference Signal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))
A_ref = V_ref/(sin(2*pi*ω*T))
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

Amplitude of Reference Signal - (Measured in Volt) - 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.
CW Oscillator Reference Voltage - (Measured in Volt) - CW Oscillator Reference Voltage refers to the voltage level used to set the frequency of the CW oscillator.
Angular Frequency - (Measured in Radian per Second) - 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.
Time Period - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

CW Oscillator Reference Voltage: 1.25 Volt --> 1.25 Volt No Conversion Required
Angular Frequency: 99 Radian per Second --> 99 Radian per Second No Conversion Required
Time Period: 50 Microsecond --> 5E-05 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_ref = V_ref/(sin(2*pi*ω*T)) --> 1.25/(sin(2*pi*99*5E-05))

Evaluating ... ...

A_ref = 40.1971224610871

STEP 3: Convert Result to Output's Unit

40.1971224610871 Volt --> No Conversion Required

FINAL ANSWER

40.1971224610871 ≈ 40.19712 Volt <-- Amplitude of Reference Signal

(Calculation completed in 00.030 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

Amplitude of Reference Signal Formula

LaTeX Go

Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))
A_ref = V_ref/(sin(2*pi*ω*T))

What is reference amplitude?

In radar systems the "reference amplitude of voltage signal" typically refers to a known or predefined voltage level that serves as a reference for measuring the amplitude of the received radar signal.

How to Calculate Amplitude of Reference Signal?

Amplitude of Reference Signal calculator uses Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period)) to calculate 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 calculate Amplitude of Reference Signal using this online calculator? To use this online calculator for Amplitude of Reference Signal, enter CW Oscillator Reference Voltage (V_ref), Angular Frequency (ω) & Time Period (T) and hit the calculate button. Here is how the Amplitude of Reference Signal calculation can be explained with given input values -> 40.19712 = 1.25/(sin(2*pi*99*5E-05)).

FAQ

What is 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 and is represented as A_ref = V_ref/(sin(2*pi*ω*T)) or Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period)). CW Oscillator Reference Voltage refers to the voltage level used to set the frequency of the CW oscillator, 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 & 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.

How to calculate 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 is calculated using Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period)). To calculate Amplitude of Reference Signal, you need CW Oscillator Reference Voltage (V_ref), Angular Frequency (ω) & Time Period (T). With our tool, you need to enter the respective value for CW Oscillator Reference Voltage, Angular Frequency & Time Period 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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