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Power Gain of Down-Converter Formula

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Power Gain Down-Converter is ratio of output frequency and signal frequency for a parametric down converter. Check FAQs

G down = \frac{4 \cdot f i \cdot R i \cdot R g \cdot α}{f s \cdot R Ts \cdot R Ti \cdot {(1 - α)}^{2}}

G_down - Power Gain Down-Converter?f_i - Idler Frequency?R_i - Output Resistance of Idler Generator?R_g - Output Resistance of Signal Generator?α - Ratio Negative Resistance to Series Resistance?f_s - Signal Frequency?R_Ts - Total Series Resistance at Signal Frequency?R_Ti - Total Series Resistance at Idler Frequency?

Power Gain of Down-Converter Example

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Here is how the Power Gain of Down-Converter equation looks like with Values.

Here is how the Power Gain of Down-Converter equation looks like with Units.

Here is how the Power Gain of Down-Converter equation looks like.

20.3536 = \frac{4 \cdot 125 \cdot 65 \cdot 33 \cdot 9}{95 \cdot 7.8 \cdot 10 \cdot {(1 - 9)}^{2}}

20.3536dB = \frac{4 \cdot 125Hz \cdot 65Ω \cdot 33Ω \cdot 9}{95Hz \cdot 7.8Ω \cdot 10Ω \cdot {(1 - 9)}^{2}}

20.3536 = \frac{4 \cdot 125 \cdot 65 \cdot 33 \cdot 9}{95 \cdot 7.8 \cdot 10 \cdot {(1 - 9)}^{2}}

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Power Gain of Down-Converter Solution

Follow our step by step solution on how to calculate Power Gain of Down-Converter?

FIRST Step Consider the formula

G down = \frac{4 \cdot f i \cdot R i \cdot R g \cdot α}{f s \cdot R Ts \cdot R Ti \cdot {(1 - α)}^{2}}

Next Step Substitute values of Variables

∴

G down = \frac{4 \cdot 125Hz \cdot 65Ω \cdot 33Ω \cdot 9}{95Hz \cdot 7.8Ω \cdot 10Ω \cdot {(1 - 9)}^{2}}

Next Step Prepare to Evaluate

∴

G down = \frac{4 \cdot 125 \cdot 65 \cdot 33 \cdot 9}{95 \cdot 7.8 \cdot 10 \cdot {(1 - 9)}^{2}}

Next Step Evaluate

∴

G down = 20.3536184210526dB

LAST Step Rounding Answer

∴

G down = 20.3536dB

Power Gain of Down-Converter Formula Elements

Variables

Power Gain Down-Converter

Power Gain Down-Converter is ratio of output frequency and signal frequency for a parametric down converter.

Symbol: G_down

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Idler Frequency

Idler frequency in Negative Resistance Parametric Amplifier is the third frequency that is generated as a result of mixing the two input frequencies.

Symbol: f_i

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Output Resistance of Idler Generator

Output resistance of idler generator is resistance observed at the output of the load.

Symbol: R_i

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Output Resistance of Signal Generator

Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source.

Symbol: R_g

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Ratio Negative Resistance to Series Resistance

Ratio negative resistance to series resistance is denoted by a symbol.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Signal Frequency

Signal frequency is defined as the frequency of a signal that is containing information.

Symbol: f_s

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Total Series Resistance at Signal Frequency

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.

Symbol: R_Ts

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Total Series Resistance at Idler Frequency

Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.

Symbol: R_Ti

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Formula and 900+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

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How to Evaluate Power Gain of Down-Converter?

Power Gain of Down-Converter evaluator 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 evaluate 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 evaluate Power Gain of Down-Converter using this online evaluator? To use this online evaluator 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.

FAQs on Power Gain of Down-Converter

What is the formula to find Power Gain of Down-Converter?

The formula of Power Gain of Down-Converter is expressed as 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). Here is an example- 20.35362 = (4*125*65*33*9)/(95*7.8*10*(1-9)^2).

How to calculate Power Gain of Down-Converter?

With 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) we can find Power Gain of Down-Converter using the formula - 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).

Can the Power Gain of Down-Converter be negative?

Yes, the Power Gain of Down-Converter, measured in Sound can be negative.

Which unit is used to measure Power Gain of Down-Converter?

Power Gain of Down-Converter is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Power Gain of Down-Converter can be measured.

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Power Gain of Down-Converter Formula

Power Gain of Down-Converter Example

Power Gain of Down-Converter Solution

Power Gain of Down-Converter Formula Elements

Credits

Other formulas in Parametric Devices category

How to Evaluate Power Gain of Down-Converter?

FAQs on Power Gain of Down-Converter

Variable Name