Feedback Factor of Low Noise Amplifier Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Low Noise Amplifier

✖Transconductance is a measure of how much current the amplifier can produce for a given input voltage.ⓘ Transconductance [g_m]			+10% -10%
✖Source Impedance is the opposition to current flow that the source presents to the load.ⓘ Source Impedance [R_s]			+10% -10%
✖Voltage Gain s a crucial parameter for low-noise amplifiers as it determines the amplifier's ability to amplify weak signals while minimizing noise.ⓘ Voltage Gain [A_v]			+10% -10%

✖Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.ⓘ Feedback Factor of Low Noise Amplifier [α]

⎘ Copy

👎

Formula

✖

Feedback Factor of Low Noise Amplifier

Formula

`"α" = ("g"_{"m"}*"R"_{"s"}-1)/(2*"g"_{"m"}*"R"_{"s"}*"A"_{"v"})`

Example

`"0.061253"=("2.18S"*"23Ω"-1)/(2*"2.18S"*"23Ω"*"8")`

Calculator

LaTeX

Reset

👍

Download RF Microelectronics Formulas PDF PDF Image

Feedback Factor of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)
α = (g_m*R_s-1)/(2*g_m*R_s*A_v)
This formula uses 4 Variables

Variables Used

Feedback Factor - Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.
Transconductance - (Measured in Siemens) - Transconductance is a measure of how much current the amplifier can produce for a given input voltage.
Source Impedance - (Measured in Ohm) - Source Impedance is the opposition to current flow that the source presents to the load.
Voltage Gain - Voltage Gain s a crucial parameter for low-noise amplifiers as it determines the amplifier's ability to amplify weak signals while minimizing noise.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 2.18 Siemens --> 2.18 Siemens No Conversion Required
Source Impedance: 23 Ohm --> 23 Ohm No Conversion Required
Voltage Gain: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = (g_m*R_s-1)/(2*g_m*R_s*A_v) --> (2.18*23-1)/(2*2.18*23*8)

Evaluating ... ...

α = 0.0612534902273634

STEP 3: Convert Result to Output's Unit

0.0612534902273634 --> No Conversion Required

FINAL ANSWER

0.0612534902273634 ≈ 0.061253 <-- Feedback Factor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » RF Microelectronics » Feedback Factor of Low Noise Amplifier

Credits

Created by Suma Madhuri

VIT University (VIT), Chennai

Suma Madhuri has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 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

Feedback Factor of Low Noise Amplifier Formula

Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)
α = (g_m*R_s-1)/(2*g_m*R_s*A_v)

What are the drawbacks of using feedback in LNAs?

There are also some drawbacks to using feedback in LNAs, including:

Reduced bandwidth: Feedback can reduce the bandwidth of an LNA. This is because feedback can cause reflections of signals, which can distort the signal and reduce the amplifier's bandwidth.
Increased instability: Feedback can make an LNA more susceptible to oscillation. This is because feedback can create a positive feedback loop, which can cause the amplifier to oscillate.

How to Calculate Feedback Factor of Low Noise Amplifier?

Feedback Factor of Low Noise Amplifier calculator uses Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain) to calculate the Feedback Factor, The Feedback Factor of Low Noise Amplifier formula is defined as a critical parameter that determines the stability and noise performance of amplifiers. It is a measure of the amount of signal that is fed back from the output of an amplifier to its input. Feedback Factor is denoted by α symbol.

How to calculate Feedback Factor of Low Noise Amplifier using this online calculator? To use this online calculator for Feedback Factor of Low Noise Amplifier, enter Transconductance (g_m), Source Impedance (R_s) & Voltage Gain (A_v) and hit the calculate button. Here is how the Feedback Factor of Low Noise Amplifier calculation can be explained with given input values -> 0.061224 = (2.18*23-1)/(2*2.18*23*8).

FAQ

What is Feedback Factor of Low Noise Amplifier?

The Feedback Factor of Low Noise Amplifier formula is defined as a critical parameter that determines the stability and noise performance of amplifiers. It is a measure of the amount of signal that is fed back from the output of an amplifier to its input and is represented as α = (g_m*R_s-1)/(2*g_m*R_s*A_v) or Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain). Transconductance is a measure of how much current the amplifier can produce for a given input voltage, Source Impedance is the opposition to current flow that the source presents to the load & Voltage Gain s a crucial parameter for low-noise amplifiers as it determines the amplifier's ability to amplify weak signals while minimizing noise.

How to calculate Feedback Factor of Low Noise Amplifier?

The Feedback Factor of Low Noise Amplifier formula is defined as a critical parameter that determines the stability and noise performance of amplifiers. It is a measure of the amount of signal that is fed back from the output of an amplifier to its input is calculated using Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain). To calculate Feedback Factor of Low Noise Amplifier, you need Transconductance (g_m), Source Impedance (R_s) & Voltage Gain (A_v). With our tool, you need to enter the respective value for Transconductance, Source Impedance & Voltage Gain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search