Return Loss of Low-Noise Amplifier Calculator

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Low Noise Amplifier

✖Input Impedance is the opposition to current flow into an electrical circuit when a voltage is applied to its input terminals.ⓘ Input Impedance [Z_in]			+10% -10%
✖Source Impedance is the opposition to current flow that the source presents to the load.ⓘ Source Impedance [R_s]			+10% -10%

✖Return Loss is a measure of the amount of signal power reflected back from a load or discontinuity in a transmission line or optical fiber.ⓘ Return Loss of Low-Noise Amplifier [Γ]

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Formula

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Return Loss of Low-Noise Amplifier

Formula

`"Γ" = "modulus"(("Z"_{"in"}-"R"_{"s"})/("Z"_{"in"}+"R"_{"s"}))^2`

Example

`"0.83009dB"="modulus"(("1.07Ω"-"23Ω")/("1.07Ω"+"23Ω"))^2`

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Return Loss of Low-Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2
Γ = modulus((Z_in-R_s)/(Z_in+R_s))^2
This formula uses 1 Functions, 3 Variables

Functions Used

modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

Return Loss - (Measured in Decibel) - Return Loss is a measure of the amount of signal power reflected back from a load or discontinuity in a transmission line or optical fiber.
Input Impedance - (Measured in Ohm) - Input Impedance is the opposition to current flow into an electrical circuit when a voltage is applied to its input terminals.
Source Impedance - (Measured in Ohm) - Source Impedance is the opposition to current flow that the source presents to the load.

STEP 1: Convert Input(s) to Base Unit

Input Impedance: 1.07 Ohm --> 1.07 Ohm No Conversion Required
Source Impedance: 23 Ohm --> 23 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Γ = modulus((Z_in-R_s)/(Z_in+R_s))^2 --> modulus((1.07-23)/(1.07+23))^2

Evaluating ... ...

Γ = 0.830089810411366

STEP 3: Convert Result to Output's Unit

0.830089810411366 Decibel --> No Conversion Required

FINAL ANSWER

0.830089810411366 ≈ 0.83009 Decibel <-- Return Loss

(Calculation completed in 00.004 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 18 RF Microelectronics Calculators

Energy Stored in all Unit Capacitances

Go Energy Stored in All Unit Capacitances = (1/2)*Value of Unit capacitance*(sum(x,1,Number of Inductors,((Value of Node N/Number of Inductors)^2)*((Input Voltage)^2)))

Equivalent Capacitance for n Stacked Spirals

Go Equivalent Capacitance of N Stacked Spirals = 4*((sum(x,1,Number of Stacked Spirals-1,Inter Spiral Capacitance+Substrate Capacitance)))/(3*((Number of Stacked Spirals)^2))

Total Noise Power Introduced by Interferer

Go Total Noise Power of Interferer = int(Broadened Spectrum of Interferer*x,x,Lower End of the Desired Channel,Higher End of the Desired Channel)

Feedback Factor of Low Noise Amplifier

Go Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)

Return Loss of Low-Noise Amplifier

Go Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2

Total Power Lost in Spiral

Go Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance)

Noise Figure of Low Noise Amplifier

Go Noise Figure = 1+((4*Source Impedance)/Feedback Resistance)+Noise Factor of Transistor

Gate to Source Voltage of Low Noise Amplifier

Go Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage

Threshold Voltage of Low Noise Amplifier

Go Threshold Voltage = Gate to Source Voltage-(2*Drain Current)/(Transconductance)

Transconductance of Low Noise Amplifier

Go Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage)

Drain Current of Low Noise Amplifier

Go Drain Current = (Transconductance*(Gate to Source Voltage-Threshold Voltage))/2

Voltage Gain of Low Noise Amplifier given DC Voltage Drop

Go Voltage Gain = 2*DC Voltage Drop/(Gate to Source Voltage-Threshold Voltage)

Load Impedance of Low Noise Amplifier

Go Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor

Input Impedance of Low Noise Amplifier

Go Input Impedance = (1/Transconductance)+Feedback Factor*Load Impedance

Output Impedance of Low Noise Amplifier

Go Output Impedance = (1/2)*(Feedback Resistance+Source Impedance)

Source Impedance of Low Noise Amplifier

Go Source Impedance = 2*Output Impedance-Feedback Resistance

Drain Resistance of Low Noise Amplifier

Go Drain Resistance = Voltage Gain/Transconductance

Voltage Gain of Low Noise Amplifier

Go Voltage Gain = Transconductance*Drain Resistance

Return Loss of Low-Noise Amplifier Formula

Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2
Γ = modulus((Z_in-R_s)/(Z_in+R_s))^2

Why is return loss important for low-noise amplifiers?

Low-noise amplifiers are used to amplify weak signals. If the return loss of an LNA is too low, some of the amplified signal will be reflected back to the input of the amplifier. This can cause distortion and interference, and it can also reduce the overall gain of the amplifier.

How to Calculate Return Loss of Low-Noise Amplifier?

Return Loss of Low-Noise Amplifier calculator uses Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2 to calculate the Return Loss, The Return Loss of Low-Noise Amplifier formula is defined as a measure of how well the amplifier matches the impedance of the source and load. A good impedance match is important for minimizing signal reflection and maximizing power transfer. Return Loss is denoted by Γ symbol.

How to calculate Return Loss of Low-Noise Amplifier using this online calculator? To use this online calculator for Return Loss of Low-Noise Amplifier, enter Input Impedance (Z_in) & Source Impedance (R_s) and hit the calculate button. Here is how the Return Loss of Low-Noise Amplifier calculation can be explained with given input values -> 0.828644 = modulus((1.07-23)/(1.07+23))^2.

FAQ

What is Return Loss of Low-Noise Amplifier?

The Return Loss of Low-Noise Amplifier formula is defined as a measure of how well the amplifier matches the impedance of the source and load. A good impedance match is important for minimizing signal reflection and maximizing power transfer and is represented as Γ = modulus((Z_in-R_s)/(Z_in+R_s))^2 or Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2. Input Impedance is the opposition to current flow into an electrical circuit when a voltage is applied to its input terminals & Source Impedance is the opposition to current flow that the source presents to the load.

How to calculate Return Loss of Low-Noise Amplifier?

The Return Loss of Low-Noise Amplifier formula is defined as a measure of how well the amplifier matches the impedance of the source and load. A good impedance match is important for minimizing signal reflection and maximizing power transfer is calculated using Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2. To calculate Return Loss of Low-Noise Amplifier, you need Input Impedance (Z_in) & Source Impedance (R_s). With our tool, you need to enter the respective value for Input Impedance & Source Impedance 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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