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Passband Ripple Formula

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Passband Ripple is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter. Check FAQs

ΔG = {(\frac{1 + \sqrt{R 1 \cdot R 2} \cdot G s}{1 - \sqrt{R 1 \cdot R 2} \cdot G s})}^{2}

ΔG - Passband Ripple?R₁ - Resistance 1?R₂ - Resistance 2?G_s - Single Pass Gain?

Passband Ripple Example

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Here is how the Passband Ripple equation looks like with Values.

Here is how the Passband Ripple equation looks like with Units.

Here is how the Passband Ripple equation looks like.

1.0327 = {(\frac{1 + \sqrt{0.05 \cdot 0.31} \cdot 1000.01}{1 - \sqrt{0.05 \cdot 0.31} \cdot 1000.01})}^{2}

1.0327 = {(\frac{1 + \sqrt{0.05Ω \cdot 0.31Ω} \cdot 1000.01}{1 - \sqrt{0.05Ω \cdot 0.31Ω} \cdot 1000.01})}^{2}

1.0327 = {(\frac{1 + \sqrt{0.05 \cdot 0.31} \cdot 1000.01}{1 - \sqrt{0.05 \cdot 0.31} \cdot 1000.01})}^{2}

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Passband Ripple Solution

Follow our step by step solution on how to calculate Passband Ripple?

FIRST Step Consider the formula

ΔG = {(\frac{1 + \sqrt{R 1 \cdot R 2} \cdot G s}{1 - \sqrt{R 1 \cdot R 2} \cdot G s})}^{2}

Next Step Substitute values of Variables

∴

ΔG = {(\frac{1 + \sqrt{0.05Ω \cdot 0.31Ω} \cdot 1000.01}{1 - \sqrt{0.05Ω \cdot 0.31Ω} \cdot 1000.01})}^{2}

Next Step Prepare to Evaluate

∴

ΔG = {(\frac{1 + \sqrt{0.05 \cdot 0.31} \cdot 1000.01}{1 - \sqrt{0.05 \cdot 0.31} \cdot 1000.01})}^{2}

Next Step Evaluate

∴

ΔG = 1.03265085613684

LAST Step Rounding Answer

∴

ΔG = 1.0327

Passband Ripple Formula Elements

Variables

Functions

Passband Ripple

Passband Ripple is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter.

Symbol: ΔG

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Passband Ripple

Resistance 1

Resistance 1 is used in Two-Way application in optical fibers.

Symbol: R₁

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance 1

Resistance 2

Resistance 2 is used in Two-Way application in optical fibers.

Symbol: R₂

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance 2

Single Pass Gain

Single Pass Gain refers to the fractional increase in energy as light makes a single pass through a medium.

Symbol: G_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Single Pass Gain

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.

Syntax: sqrt(Number)

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How to Evaluate Passband Ripple?

Passband Ripple evaluator uses Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2 to evaluate the Passband Ripple, The Passband Ripple, often denoted as ΔG, is also known as gain undulation or the peak-trough ratio of the passband ripple, which is defined as the difference between the resonant and non-resonant signal gain. It is typically specified as the 0 to peak difference in the passband gain in the magnitude response of a filter. Passband Ripple is denoted by ΔG symbol.

How to evaluate Passband Ripple using this online evaluator? To use this online evaluator for Passband Ripple, enter Resistance 1 (R₁), Resistance 2 (R₂) & Single Pass Gain (G_s) and hit the calculate button.

FAQs on Passband Ripple

What is the formula to find Passband Ripple?

The formula of Passband Ripple is expressed as Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2. Here is an example- 1.032651 = ((1+sqrt(0.05*0.31)*1000.01)/(1-sqrt(0.05*0.31)*1000.01))^2.

How to calculate Passband Ripple?

With Resistance 1 (R₁), Resistance 2 (R₂) & Single Pass Gain (G_s) we can find Passband Ripple using the formula - Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2. This formula also uses Square Root (sqrt) function(s).

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Passband Ripple Formula

Passband Ripple Example

Passband Ripple Solution

Passband Ripple Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Passband Ripple?

FAQs on Passband Ripple

Variable Name