Bandwidth of Parametric Up-Converter Calculator

✖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%
✖Output frequency is the total output frequency observed.ⓘ Output Frequency [f_o]			+10% -10%
✖Signal frequency is defined as the frequency of a signal that is containing information.ⓘ Signal Frequency [f_s]			+10% -10%

✖Bandwidth of Up-Converter is defined as the difference between the upper and lower frequencies in a continuous band of frequencies.ⓘ Bandwidth of Parametric Up-Converter [BW_up]

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Bandwidth of Parametric Up-Converter

Formula

`"BW"_{"up"} = 2*"γ"*sqrt("f"_{"o"}/"f"_{"s"})`

Example

`"1.201666Hz"=2*"0.19"*sqrt("950Hz"/"95Hz")`

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Bandwidth of Parametric Up-Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency)
BW_up = 2*γ*sqrt(f_o/f_s)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Bandwidth of Up-Converter - (Measured in Hertz) - Bandwidth of Up-Converter is defined as the difference between the upper and lower frequencies in a continuous band of frequencies.
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.
Output Frequency - (Measured in Hertz) - Output frequency is the total output frequency observed.
Signal Frequency - (Measured in Hertz) - Signal frequency is defined as the frequency of a signal that is containing information.

STEP 1: Convert Input(s) to Base Unit

Coupling Coefficient: 0.19 --> No Conversion Required
Output Frequency: 950 Hertz --> 950 Hertz No Conversion Required
Signal Frequency: 95 Hertz --> 95 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BW_up = 2*γ*sqrt(f_o/f_s) --> 2*0.19*sqrt(950/95)

Evaluating ... ...

BW_up = 1.20166551086398

STEP 3: Convert Result to Output's Unit

1.20166551086398 Hertz --> No Conversion Required

FINAL ANSWER

1.20166551086398 ≈ 1.201666 Hertz <-- Bandwidth of Up-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

Bandwidth of Parametric Up-Converter Formula

Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency)
BW_up = 2*γ*sqrt(f_o/f_s)

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 Bandwidth of Parametric Up-Converter?

Bandwidth of Parametric Up-Converter calculator uses Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency) to calculate the Bandwidth of Up-Converter, The Bandwidth of Parametric Up-Converter formula is defined as the difference between the upper and lower frequencies in a continuous band of frequencies. Bandwidth of Up-Converter is denoted by BW_up symbol.

How to calculate Bandwidth of Parametric Up-Converter using this online calculator? To use this online calculator for Bandwidth of Parametric Up-Converter, enter Coupling Coefficient (γ), Output Frequency (f_o) & Signal Frequency (f_s) and hit the calculate button. Here is how the Bandwidth of Parametric Up-Converter calculation can be explained with given input values -> 1.201666 = 2*0.19*sqrt(950/95).

FAQ

What is Bandwidth of Parametric Up-Converter?

The Bandwidth of Parametric Up-Converter formula is defined as the difference between the upper and lower frequencies in a continuous band of frequencies and is represented as BW_up = 2*γ*sqrt(f_o/f_s) or Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency). 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, Output frequency is the total output frequency observed & Signal frequency is defined as the frequency of a signal that is containing information.

How to calculate Bandwidth of Parametric Up-Converter?

The Bandwidth of Parametric Up-Converter formula is defined as the difference between the upper and lower frequencies in a continuous band of frequencies is calculated using Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency). To calculate Bandwidth of Parametric Up-Converter, you need Coupling Coefficient (γ), Output Frequency (f_o) & Signal Frequency (f_s). With our tool, you need to enter the respective value for Coupling Coefficient, Output Frequency & Signal 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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