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))
Aref = Vref/(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
Aref = Vref/(sin(2*pi*ω*T)) --> 1.25/(sin(2*pi*99*5E-05))
Evaluating ... ...
Aref = 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 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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))
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)
Reference Voltage of CW Oscillator
Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)
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)
CFA DC Power Input
Go DC Power Input = (CFA RF Power Output-CFA RF Drive Power)/Efficiency of Cross Field Amplifier
Efficiency of Cross Field Amplifier(CFA)
Go Efficiency of Cross Field Amplifier = (CFA RF Power Output-CFA RF Drive Power)/DC Power Input
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)

Amplitude of Reference Signal Formula

Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))
Aref = Vref/(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 Aref 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 (Vref), 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 Aref = Vref/(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 (Vref), 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!