Gain-Degradation Factor Calculator

✖Signal frequency is defined as the frequency of a signal that is containing information.ⓘ Signal Frequency [f_s]			+10% -10%
✖Output frequency is the total output frequency observed.ⓘ Output Frequency [f_o]			+10% -10%
✖Power Gain for Up-Converter is ratio of output frequency and signal frequency for a parametric up converter.ⓘ Power Gain for Up-Converter [G_up]			+10% -10%

✖Gain degradation factor is a measure of the change in gain relative to the gain at the design frequency, and it is typically expressed in decibels (dB).ⓘ Gain-Degradation Factor [GDF]

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Formula

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Gain-Degradation Factor

Formula

`"GDF" = ("f"_{"s"}/"f"_{"o"})*"G"_{"up"}`

Example

`"0.8"=("95Hz"/"950Hz")*"8dB"`

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Gain-Degradation Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter
GDF = (f_s/f_o)*G_up
This formula uses 4 Variables

Variables Used

Gain Degradation Factor - Gain degradation factor is a measure of the change in gain relative to the gain at the design frequency, and it is typically expressed in decibels (dB).
Signal Frequency - (Measured in Hertz) - Signal frequency is defined as the frequency of a signal that is containing information.
Output Frequency - (Measured in Hertz) - Output frequency is the total output frequency observed.
Power Gain for Up-Converter - (Measured in Decibel) - Power Gain for Up-Converter is ratio of output frequency and signal frequency for a parametric up converter.

STEP 1: Convert Input(s) to Base Unit

Signal Frequency: 95 Hertz --> 95 Hertz No Conversion Required
Output Frequency: 950 Hertz --> 950 Hertz No Conversion Required
Power Gain for Up-Converter: 8 Decibel --> 8 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GDF = (f_s/f_o)*G_up --> (95/950)*8

Evaluating ... ...

GDF = 0.8

STEP 3: Convert Result to Output's Unit

0.8 --> No Conversion Required

FINAL ANSWER

0.8 <-- Gain Degradation Factor

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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)

Output Frequency in Up-Convertor

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

Power Gain for Parametric Up-Converter

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

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

Gain-Degradation Factor Formula

Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter
GDF = (f_s/f_o)*G_up

What causes gain reduction factor?

The gain degradation factor arises due to the presence of parasitic capacitances and inductances in the amplifier circuit, which can cause the amplifier's response to deviate from its ideal behavior as the frequency of the input signal changes. As the input signal frequency moves away from the design center frequency, the parasitic components can cause the gain to decrease, resulting in the gain degradation factor.

How to Calculate Gain-Degradation Factor?

Gain-Degradation Factor calculator uses Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter to calculate the Gain Degradation Factor, The Gain-Degradation Factor formula is defined as the reduction in gain that occurs when an amplifier is operated away from its design center frequency. The gain degradation factor is a measure of the change in gain relative to the gain at the design frequency, and it is typically expressed in decibels (dB). Gain Degradation Factor is denoted by GDF symbol.

How to calculate Gain-Degradation Factor using this online calculator? To use this online calculator for Gain-Degradation Factor, enter Signal Frequency (f_s), Output Frequency (f_o) & Power Gain for Up-Converter (G_up) and hit the calculate button. Here is how the Gain-Degradation Factor calculation can be explained with given input values -> 0.8 = (95/950)*8.

FAQ

What is Gain-Degradation Factor?

The Gain-Degradation Factor formula is defined as the reduction in gain that occurs when an amplifier is operated away from its design center frequency. The gain degradation factor is a measure of the change in gain relative to the gain at the design frequency, and it is typically expressed in decibels (dB) and is represented as GDF = (f_s/f_o)*G_up or Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter. Signal frequency is defined as the frequency of a signal that is containing information, Output frequency is the total output frequency observed & Power Gain for Up-Converter is ratio of output frequency and signal frequency for a parametric up converter.

How to calculate Gain-Degradation Factor?

The Gain-Degradation Factor formula is defined as the reduction in gain that occurs when an amplifier is operated away from its design center frequency. The gain degradation factor is a measure of the change in gain relative to the gain at the design frequency, and it is typically expressed in decibels (dB) is calculated using Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter. To calculate Gain-Degradation Factor, you need Signal Frequency (f_s), Output Frequency (f_o) & Power Gain for Up-Converter (G_up). With our tool, you need to enter the respective value for Signal Frequency, Output Frequency & Power Gain for Up-Converter 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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