Power Gain of Down-Converter Calculator

✖Idler frequency in Negative Resistance Parametric Amplifier is the third frequency that is generated as a result of mixing the two input frequencies.ⓘ Idler Frequency [f_i]			+10% -10%
✖Output resistance of idler generator is resistance observed at the output of the load.ⓘ Output Resistance of Idler Generator [R_i]			+10% -10%
✖Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source.ⓘ Output Resistance of Signal Generator [R_g]			+10% -10%
✖Ratio negative resistance to series resistance is denoted by a symbol.ⓘ Ratio Negative Resistance to Series Resistance [α]			+10% -10%
✖Signal frequency is defined as the frequency of a signal that is containing information.ⓘ Signal Frequency [f_s]			+10% -10%
✖Total series resistance at signal frequency is the sum of all resistances in series that are present in a circuit at the frequency of the signal.ⓘ Total Series Resistance at Signal Frequency [R_Ts]			+10% -10%
✖Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.ⓘ Total Series Resistance at Idler Frequency [R_Ti]			+10% -10%

✖Power Gain Down-Converter is ratio of output frequency and signal frequency for a parametric down converter.ⓘ Power Gain of Down-Converter [G_down]

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Formula

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Power Gain of Down-Converter

Formula

`"G"_{"down"} = (4*"f"_{"i"}*"R"_{"i"}*"R"_{"g"}*"α")/("f"_{"s"}*"R"_{"Ts"}*"R"_{"Ti"}*(1-"α")^2)`

Example

`"20.35362dB"=(4*"125Hz"*"65Ω"*"33Ω"*"9")/("95Hz"*"7.8Ω"*"10Ω"*(1-"9")^2)`

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Power Gain of Down-Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
G_down = (4*f_i*R_i*R_g*α)/(f_s*R_Ts*R_Ti*(1-α)^2)
This formula uses 8 Variables

Variables Used

Power Gain Down-Converter - (Measured in Decibel) - Power Gain Down-Converter is ratio of output frequency and signal frequency for a parametric down converter.
Idler Frequency - (Measured in Hertz) - Idler frequency in Negative Resistance Parametric Amplifier is the third frequency that is generated as a result of mixing the two input frequencies.
Output Resistance of Idler Generator - (Measured in Ohm) - Output resistance of idler generator is resistance observed at the output of the load.
Output Resistance of Signal Generator - (Measured in Ohm) - Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source.
Ratio Negative Resistance to Series Resistance - Ratio negative resistance to series resistance is denoted by a symbol.
Signal Frequency - (Measured in Hertz) - Signal frequency is defined as the frequency of a signal that is containing information.
Total Series Resistance at Signal Frequency - (Measured in Ohm) - Total series resistance at signal frequency is the sum of all resistances in series that are present in a circuit at the frequency of the signal.
Total Series Resistance at Idler Frequency - (Measured in Ohm) - Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.

STEP 1: Convert Input(s) to Base Unit

Idler Frequency: 125 Hertz --> 125 Hertz No Conversion Required
Output Resistance of Idler Generator: 65 Ohm --> 65 Ohm No Conversion Required
Output Resistance of Signal Generator: 33 Ohm --> 33 Ohm No Conversion Required
Ratio Negative Resistance to Series Resistance: 9 --> No Conversion Required
Signal Frequency: 95 Hertz --> 95 Hertz No Conversion Required
Total Series Resistance at Signal Frequency: 7.8 Ohm --> 7.8 Ohm No Conversion Required
Total Series Resistance at Idler Frequency: 10 Ohm --> 10 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_down = (4*f_i*R_i*R_g*α)/(f_s*R_Ts*R_Ti*(1-α)^2) --> (4*125*65*33*9)/(95*7.8*10*(1-9)^2)

Evaluating ... ...

G_down = 20.3536184210526

STEP 3: Convert Result to Output's Unit

20.3536184210526 Decibel --> No Conversion Required

FINAL ANSWER

20.3536184210526 ≈ 20.35362 Decibel <-- Power Gain Down-Converter

(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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< 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

Power Gain of Down-Converter Formula

What are Directional Couplers?

A directional coupler is a four-port waveguide junction. Several types of directional couplers exist, such as a two-hole directional coupler, four-hole directional coupler, reverse-coupling directional coupler (Schwinger coupler), and Bethe-hole directional coupler.

How to Calculate Power Gain of Down-Converter?

Power Gain of Down-Converter calculator uses 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) to calculate the Power Gain Down-Converter, The Power Gain of Down-Converter formula is defined as input power must feed into the Idler circuit and the output power must move out from the signal circuit. Power Gain Down-Converter is denoted by G_down symbol.

How to calculate Power Gain of Down-Converter using this online calculator? To use this online calculator for Power Gain of Down-Converter, enter Idler Frequency (f_i), Output Resistance of Idler Generator (R_i), Output Resistance of Signal Generator (R_g), Ratio Negative Resistance to Series Resistance (α), Signal Frequency (f_s), Total Series Resistance at Signal Frequency (R_Ts) & Total Series Resistance at Idler Frequency (R_Ti) and hit the calculate button. Here is how the Power Gain of Down-Converter calculation can be explained with given input values -> 20.35362 = (4*125*65*33*9)/(95*7.8*10*(1-9)^2).

FAQ

What is Power Gain of Down-Converter?

The Power Gain of Down-Converter formula is defined as input power must feed into the Idler circuit and the output power must move out from the signal circuit and is represented as G_down = (4*f_i*R_i*R_g*α)/(f_s*R_Ts*R_Ti*(1-α)^2) or 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). Idler frequency in Negative Resistance Parametric Amplifier is the third frequency that is generated as a result of mixing the two input frequencies, Output resistance of idler generator is resistance observed at the output of the load, Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source, Ratio negative resistance to series resistance is denoted by a symbol, Signal frequency is defined as the frequency of a signal that is containing information, Total series resistance at signal frequency is the sum of all resistances in series that are present in a circuit at the frequency of the signal & Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.

How to calculate Power Gain of Down-Converter?

The Power Gain of Down-Converter formula is defined as input power must feed into the Idler circuit and the output power must move out from the signal circuit is calculated using 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). To calculate Power Gain of Down-Converter, you need Idler Frequency (f_i), Output Resistance of Idler Generator (R_i), Output Resistance of Signal Generator (R_g), Ratio Negative Resistance to Series Resistance (α), Signal Frequency (f_s), Total Series Resistance at Signal Frequency (R_Ts) & Total Series Resistance at Idler Frequency (R_Ti). With our tool, you need to enter the respective value for 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 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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