Peak Quantization Lobe Calculator

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Special Purpose Radars

Radar & Antenna Specifications

Radar Antennas Reception

✖Mean Lobe known as average quantization lobe refers to overall radiation pattern produced by phased array antenna when the quantization errors are averaged over all possible phase combinations.ⓘ Mean Lobe [B]

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✖Peak quantization lobe is a narrow, high-amplitude lobe that appears in the radiation pattern of the phased array antenna due to the quantization of the phase shifter.ⓘ Peak Quantization Lobe [Q_max]

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Formula

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Peak Quantization Lobe

Formula

`"Q"_{"max"} = 1/2^(2*"B")`

Example

`"0.130308"=1/2^(2*"1.47")`

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Peak Quantization Lobe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peak Quantization Lobe = 1/2^(2*Mean Lobe)
Q_max = 1/2^(2*B)
This formula uses 2 Variables

Variables Used

Peak Quantization Lobe - Peak quantization lobe is a narrow, high-amplitude lobe that appears in the radiation pattern of the phased array antenna due to the quantization of the phase shifter.
Mean Lobe - Mean Lobe known as average quantization lobe refers to overall radiation pattern produced by phased array antenna when the quantization errors are averaged over all possible phase combinations.

STEP 1: Convert Input(s) to Base Unit

Mean Lobe: 1.47 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_max = 1/2^(2*B) --> 1/2^(2*1.47)

Evaluating ... ...

Q_max = 0.13030822010514

STEP 3: Convert Result to Output's Unit

0.13030822010514 --> No Conversion Required

FINAL ANSWER

0.13030822010514 ≈ 0.130308 <-- Peak Quantization Lobe

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

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))

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)

Peak Quantization Lobe Formula

Peak Quantization Lobe = 1/2^(2*Mean Lobe)
Q_max = 1/2^(2*B)

What is mean lobe?

The mean lobe, also known as the average quantization lobe refers to the overall radiation pattern produced by the phased array antenna when the quantization errors are averaged over all possible phase combinations.

How to Calculate Peak Quantization Lobe?

Peak Quantization Lobe calculator uses Peak Quantization Lobe = 1/2^(2*Mean Lobe) to calculate the Peak Quantization Lobe, The Peak quantization lobe formula is a narrow, high-amplitude lobe that appears in the radiation pattern of the phased array antenna due to the quantization of the phase shifter. Peak Quantization Lobe is denoted by Q_max symbol.

How to calculate Peak Quantization Lobe using this online calculator? To use this online calculator for Peak Quantization Lobe, enter Mean Lobe (B) and hit the calculate button. Here is how the Peak Quantization Lobe calculation can be explained with given input values -> 0.130308 = 1/2^(2*1.47).

FAQ

What is Peak Quantization Lobe?

The Peak quantization lobe formula is a narrow, high-amplitude lobe that appears in the radiation pattern of the phased array antenna due to the quantization of the phase shifter and is represented as Q_max = 1/2^(2*B) or Peak Quantization Lobe = 1/2^(2*Mean Lobe). Mean Lobe known as average quantization lobe refers to overall radiation pattern produced by phased array antenna when the quantization errors are averaged over all possible phase combinations.

How to calculate Peak Quantization Lobe?

The Peak quantization lobe formula is a narrow, high-amplitude lobe that appears in the radiation pattern of the phased array antenna due to the quantization of the phase shifter is calculated using Peak Quantization Lobe = 1/2^(2*Mean Lobe). To calculate Peak Quantization Lobe, you need Mean Lobe (B). With our tool, you need to enter the respective value for Mean Lobe 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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