Reference Voltage of CW Oscillator Calculator

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Special Purpose Radars

Radar & Antenna Specifications

Radar Antennas Reception

✖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]			+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%

✖CW Oscillator Reference Voltage refers to the voltage level used to set the frequency of the CW oscillator.ⓘ Reference Voltage of CW Oscillator [V_ref]

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Formula

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Reference Voltage of CW Oscillator

Formula

`"V"_{"ref"} = "A"_{"ref"}*sin(2*pi*"ω"*"T")`

Example

`"1.249996V"="40.197V"*sin(2*pi*"99rad/s"*"50μs")`

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Reference Voltage of CW Oscillator Solution

STEP 0: Pre-Calculation Summary

Formula Used

CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)
V_ref = A_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

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.
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.
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

Amplitude of Reference Signal: 40.197 Volt --> 40.197 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

V_ref = A_ref*sin(2*pi*ω*T) --> 40.197*sin(2*pi*99*5E-05)

Evaluating ... ...

V_ref = 1.24999619185779

STEP 3: Convert Result to Output's Unit

1.24999619185779 Volt --> No Conversion Required

FINAL ANSWER

1.24999619185779 ≈ 1.249996 Volt <-- CW Oscillator Reference Voltage

(Calculation completed in 00.008 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 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)

Reference Voltage of CW Oscillator Formula

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

Why Should we use Radar Technology?

The radar signal is virtually unaffected by the tank content and tank atmosphere, temperature or pressure. The measurement is not influenced by changing material characteristics such as density, dielectric properties and viscosity.

How to Calculate Reference Voltage of CW Oscillator?

Reference Voltage of CW Oscillator calculator uses CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period) to calculate the CW Oscillator Reference Voltage, The Reference Voltage of CW Oscillator formula the voltage level that sets the operating frequency of the CW oscillator. CW Oscillator Reference Voltage is denoted by V_ref symbol.

How to calculate Reference Voltage of CW Oscillator using this online calculator? To use this online calculator for Reference Voltage of CW Oscillator, enter Amplitude of Reference Signal (A_ref), Angular Frequency (ω) & Time Period (T) and hit the calculate button. Here is how the Reference Voltage of CW Oscillator calculation can be explained with given input values -> 1.237526 = 40.197*sin(2*pi*99*5E-05).

FAQ

What is Reference Voltage of CW Oscillator?

The Reference Voltage of CW Oscillator formula the voltage level that sets the operating frequency of the CW oscillator and is represented as V_ref = A_ref*sin(2*pi*ω*T) or CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period). 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, 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 Reference Voltage of CW Oscillator?

The Reference Voltage of CW Oscillator formula the voltage level that sets the operating frequency of the CW oscillator is calculated using CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period). To calculate Reference Voltage of CW Oscillator, you need Amplitude of Reference Signal (A_ref), Angular Frequency (ω) & Time Period (T). With our tool, you need to enter the respective value for Amplitude of Reference Signal, 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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