Noise Figure of Parametric Up-Converter Calculator

✖Diode temperature is the measure of heat to flow in the diode preferentially in one direction.ⓘ Diode Temperature [T_d]			+10% -10%
✖The coupling coefficient γ is defined as the ratio of the modulated negative resistance at the pump frequency to the capacitance of the nonlinear element.ⓘ Coupling Coefficient [γ]			+10% -10%
✖Q-Factor of Up-Converter is the the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation.ⓘ Q-Factor of Up-Converter [Q_up]			+10% -10%
✖Ambient Temperature is the temperature of the surrounding.ⓘ Ambient Temperature [T₀]			+10% -10%

✖Noise Figure of Up-Converter is defined as the noise figure of a mixer depends on whether its input is a single sideband signal or a double sideband signal.ⓘ Noise Figure of Parametric Up-Converter [F]

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Noise Figure of Parametric Up-Converter

Formula

`"F" = 1+((2*"T"_{"d"})/("γ"*"Q"_{"up"}*"T"_{"0"})+2/("T"_{"0"}*("γ"*"Q"_{"up"})^2))`

Example

`"2.944879dB"=1+((2*"290K")/("0.19"*"5.25"*"300K")+2/("300K"*("0.19"*"5.25")^2))`

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Noise Figure of Parametric Up-Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Noise Figure of Up-Converter = 1+((2*Diode Temperature)/(Coupling Coefficient*Q-Factor of Up-Converter*Ambient Temperature)+2/(Ambient Temperature*(Coupling Coefficient*Q-Factor of Up-Converter)^2))
F = 1+((2*T_d)/(γ*Q_up*T₀)+2/(T₀*(γ*Q_up)^2))
This formula uses 5 Variables

Variables Used

Noise Figure of Up-Converter - (Measured in Decibel) - Noise Figure of Up-Converter is defined as the noise figure of a mixer depends on whether its input is a single sideband signal or a double sideband signal.
Diode Temperature - (Measured in Kelvin) - Diode temperature is the measure of heat to flow in the diode preferentially in one direction.
Coupling Coefficient - The coupling coefficient γ is defined as the ratio of the modulated negative resistance at the pump frequency to the capacitance of the nonlinear element.
Q-Factor of Up-Converter - Q-Factor of Up-Converter is the the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation.
Ambient Temperature - (Measured in Kelvin) - Ambient Temperature is the temperature of the surrounding.

STEP 1: Convert Input(s) to Base Unit

Diode Temperature: 290 Kelvin --> 290 Kelvin No Conversion Required
Coupling Coefficient: 0.19 --> No Conversion Required
Q-Factor of Up-Converter: 5.25 --> No Conversion Required
Ambient Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = 1+((2*T_d)/(γ*Q_up*T₀)+2/(T₀*(γ*Q_up)^2)) --> 1+((2*290)/(0.19*5.25*300)+2/(300*(0.19*5.25)^2))

Evaluating ... ...

F = 2.94487890570202

STEP 3: Convert Result to Output's Unit

2.94487890570202 Decibel --> No Conversion Required

FINAL ANSWER

2.94487890570202 ≈ 2.944879 Decibel <-- Noise Figure of Up-Converter

(Calculation completed in 00.008 seconds)

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< 13 Parametric Devices Calculators

Power Gain of Down-Converter

Go Power Gain Down-Converter = (4*Idler Frequency*Output Resistance of Idler Generator*Output Resistance of Signal Generator*Ratio Negative Resistance to Series Resistance)/(Signal Frequency*Total Series Resistance at Signal Frequency*Total Series Resistance at Idler Frequency*(1-Ratio Negative Resistance to Series Resistance)^2)

Output Resistance of Signal Generator

Go Output Resistance of Signal Generator = (Gain of NRPA*Signal Frequency*Total Series Resistance at Signal Frequency*Total Series Resistance at Idler Frequency*(1-Ratio Negative Resistance to Series Resistance)^2)/(4*Signal Frequency*Output Resistance of Idler Generator*Ratio Negative Resistance to Series Resistance)

Noise Figure of Parametric Up-Converter

Go Noise Figure of Up-Converter = 1+((2*Diode Temperature)/(Coupling Coefficient*Q-Factor of Up-Converter*Ambient Temperature)+2/(Ambient Temperature*(Coupling Coefficient*Q-Factor of Up-Converter)^2))

Bandwidth of Negative Resistance Parametric Amplifier (NRPA)

Go Bandwidth of NRPA = (Coupling Coefficient/2)*sqrt(Idler Frequency/(Signal Frequency*Gain of NRPA))

Bandwidth of Parametric Up-Converter

Go Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency)

Power Gain for Parametric Up-Converter

Go Power Gain for Up-Converter = (Output Frequency/Signal Frequency)*Gain Degradation Factor

Output Frequency in Up-Convertor

Go Output Frequency = (Power Gain for Up-Converter/Gain Degradation Factor)*Signal Frequency

Gain-Degradation Factor

Go Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter

Pumping Frequency using Demodulator Gain

Go Pumping Frequency = (Signal Frequency/Power Gain of Demodulator)-Signal Frequency

Power Gain of Demodulator

Go Power Gain of Demodulator = Signal Frequency/(Pumping Frequency+Signal Frequency)

Power Gain of Modulator

Go Power Gain of Modulator = (Pumping Frequency+Signal Frequency)/Signal Frequency

Signal frequency

Go Signal Frequency = Pumping Frequency/(Power Gain of Modulator-1)

Idler Frequency using Pumping Frequency

Go Idler Frequency = Pumping Frequency-Signal Frequency

Noise Figure of Parametric Up-Converter Formula

What Is Non-uniform Wave ?

A non-uniform plane wave is a wave whose amplitude (not phase) may vary within a plane normal to the direction of propagation. Consequently, the electric and magnetic fields are no longer in time phase.

How to Calculate Noise Figure of Parametric Up-Converter?

Noise Figure of Parametric Up-Converter calculator uses Noise Figure of Up-Converter = 1+((2*Diode Temperature)/(Coupling Coefficient*Q-Factor of Up-Converter*Ambient Temperature)+2/(Ambient Temperature*(Coupling Coefficient*Q-Factor of Up-Converter)^2)) to calculate the Noise Figure of Up-Converter, The Noise Figure of Parametric Up-Converter formula is defined as the noise figure of a mixer depends on whether its input is a single sideband signal or a double sideband signal. This is because the mixer will down-convert noise at both sideband frequencies. Noise Figure of Up-Converter is denoted by F symbol.

How to calculate Noise Figure of Parametric Up-Converter using this online calculator? To use this online calculator for Noise Figure of Parametric Up-Converter, enter Diode Temperature (T_d), Coupling Coefficient (γ), Q-Factor of Up-Converter (Q_up) & Ambient Temperature (T₀) and hit the calculate button. Here is how the Noise Figure of Parametric Up-Converter calculation can be explained with given input values -> 2.944879 = 1+((2*290)/(0.19*5.25*300)+2/(300*(0.19*5.25)^2)).

FAQ

What is Noise Figure of Parametric Up-Converter?

The Noise Figure of Parametric Up-Converter formula is defined as the noise figure of a mixer depends on whether its input is a single sideband signal or a double sideband signal. This is because the mixer will down-convert noise at both sideband frequencies and is represented as F = 1+((2*T_d)/(γ*Q_up*T₀)+2/(T₀*(γ*Q_up)^2)) or Noise Figure of Up-Converter = 1+((2*Diode Temperature)/(Coupling Coefficient*Q-Factor of Up-Converter*Ambient Temperature)+2/(Ambient Temperature*(Coupling Coefficient*Q-Factor of Up-Converter)^2)). Diode temperature is the measure of heat to flow in the diode preferentially in one direction, The coupling coefficient γ is defined as the ratio of the modulated negative resistance at the pump frequency to the capacitance of the nonlinear element, Q-Factor of Up-Converter is the the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation & Ambient Temperature is the temperature of the surrounding.

How to calculate Noise Figure of Parametric Up-Converter?

The Noise Figure of Parametric Up-Converter formula is defined as the noise figure of a mixer depends on whether its input is a single sideband signal or a double sideband signal. This is because the mixer will down-convert noise at both sideband frequencies is calculated using Noise Figure of Up-Converter = 1+((2*Diode Temperature)/(Coupling Coefficient*Q-Factor of Up-Converter*Ambient Temperature)+2/(Ambient Temperature*(Coupling Coefficient*Q-Factor of Up-Converter)^2)). To calculate Noise Figure of Parametric Up-Converter, you need Diode Temperature (T_d), Coupling Coefficient (γ), Q-Factor of Up-Converter (Q_up) & Ambient Temperature (T₀). With our tool, you need to enter the respective value for Diode Temperature, Coupling Coefficient, Q-Factor of Up-Converter & Ambient Temperature 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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