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Lower 3-DB Frequency in Bandwidth Extension Formula

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Lower 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter). Check FAQs

ω Lf = \frac{f 3dB}{1 + (A m \cdot β)}

ω_Lf - Lower 3-dB Frequency?f_3dB - 3-dB Frequency?A_m - Mid Band Gain?β - Feedback Factor?

Lower 3-DB Frequency in Bandwidth Extension Example

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Here is how the Lower 3-DB Frequency in Bandwidth Extension equation looks like with Values.

Here is how the Lower 3-DB Frequency in Bandwidth Extension equation looks like with Units.

Here is how the Lower 3-DB Frequency in Bandwidth Extension equation looks like.

0.2765 = \frac{2.9}{1 + (20.9 \cdot 0.454)}

0.2765Hz = \frac{2.9Hz}{1 + (20.9 \cdot 0.454)}

0.2765 = \frac{2.9}{1 + (20.9 \cdot 0.454)}

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Lower 3-DB Frequency in Bandwidth Extension Solution

Follow our step by step solution on how to calculate Lower 3-DB Frequency in Bandwidth Extension?

FIRST Step Consider the formula

ω Lf = \frac{f 3dB}{1 + (A m \cdot β)}

Next Step Substitute values of Variables

∴

ω Lf = \frac{2.9Hz}{1 + (20.9 \cdot 0.454)}

Next Step Prepare to Evaluate

∴

ω Lf = \frac{2.9}{1 + (20.9 \cdot 0.454)}

Next Step Evaluate

∴

ω Lf = 0.27649066605648Hz

LAST Step Rounding Answer

∴

ω Lf = 0.2765Hz

Lower 3-DB Frequency in Bandwidth Extension Formula Elements

Variables

Lower 3-dB Frequency

Lower 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

Symbol: ω_Lf

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Lower 3-dB Frequency

3-dB Frequency

3-dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

Symbol: f_3dB

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find 3-dB Frequency

Mid Band Gain

The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth.

Symbol: A_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mid Band Gain

Feedback Factor

The feedback factor of an op-amp application defines the circuit performance.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Feedback Factor

Other formulas in BW Extension and Signal Interference category

Go Amount of Feedback Given Loop Gain

F am = 1 + Aβ

Go Closed-Loop Gain as Function of Ideal Value

A cl = (\frac{1}{β}) \cdot (\frac{1}{1 + (\frac{1}{Aβ})})

Go Gain with Feedback of Feedback Amplifier

A f = \frac{A}{F am}

Go Gain at Mid and High Frequencies

µ = \frac{A m}{1 + (\frac{s}{ω hf})}

How to Evaluate Lower 3-DB Frequency in Bandwidth Extension?

Lower 3-DB Frequency in Bandwidth Extension evaluator uses Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor)) to evaluate the Lower 3-dB Frequency, The Lower 3-dB frequency in bandwidth extension formula is defined as point at which signal has been attenuated by 3dB (in bandpass filter). This is generally considered point for determining filter's bandwidth. bandwidth is defined as difference between upper and lower 3dB points. Lower 3-dB Frequency is denoted by ω_Lf symbol.

How to evaluate Lower 3-DB Frequency in Bandwidth Extension using this online evaluator? To use this online evaluator for Lower 3-DB Frequency in Bandwidth Extension, enter 3-dB Frequency (f_3dB), Mid Band Gain (A_m) & Feedback Factor (β) and hit the calculate button.

FAQs on Lower 3-DB Frequency in Bandwidth Extension

What is the formula to find Lower 3-DB Frequency in Bandwidth Extension?

The formula of Lower 3-DB Frequency in Bandwidth Extension is expressed as Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor)). Here is an example- 0.276491 = 2.9/(1+(20.9*0.454)).

How to calculate Lower 3-DB Frequency in Bandwidth Extension?

With 3-dB Frequency (f_3dB), Mid Band Gain (A_m) & Feedback Factor (β) we can find Lower 3-DB Frequency in Bandwidth Extension using the formula - Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor)).

Can the Lower 3-DB Frequency in Bandwidth Extension be negative?

No, the Lower 3-DB Frequency in Bandwidth Extension, measured in Frequency cannot be negative.

Which unit is used to measure Lower 3-DB Frequency in Bandwidth Extension?

Lower 3-DB Frequency in Bandwidth Extension is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Lower 3-DB Frequency in Bandwidth Extension can be measured.

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