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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.

Formulas to find Power Gain Down-Converter

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.

Formulas to find Idler Frequency

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.

Formulas to find Output Resistance of Idler Generator

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.

Formulas to find Output Resistance of Signal Generator

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.

Formulas to find Ratio Negative Resistance to Series Resistance

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.

Formulas to find Signal Frequency

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.

Formulas to find Total Series Resistance at Signal Frequency

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.

Formulas to find Total Series Resistance at Idler Frequency

Other formulas in Parametric Devices category

Go Power Gain of Modulator

G m = \frac{f p + f s}{f s}

Go Power Gain of Demodulator

G dm = \frac{f s}{f p + f s}

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

Other formulas in Parametric Devices category

How to Evaluate Power Gain of Down-Converter?

FAQs on Power Gain of Down-Converter

Variable Name