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Noise Equivalent of Bandwidth Formula

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Noise Equivalent Bandwidth represents the bandwidth of an ideal filter that would pass the same noise power as the transducer, affecting its signal-to-noise ratio. Check FAQs

Δf = \frac{{D n}^{2}}{{D t}^{2} \cdot A}

Δf - Noise Equivalent Bandwidth?D_n - Normalized Detectivity?D_t - Transducer Detectivity?A - Detector Area?

Noise Equivalent of Bandwidth Example

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Here is how the Noise Equivalent of Bandwidth equation looks like with Values.

Here is how the Noise Equivalent of Bandwidth equation looks like with Units.

Here is how the Noise Equivalent of Bandwidth equation looks like.

0.5037 = \frac{2^{2}}{{1.375}^{2} \cdot 4.2}

0.5037Hz = \frac{2^{2}}{{1.375}^{2} \cdot 4.2m²}

0.5037 = \frac{2^{2}}{{1.375}^{2} \cdot 4.2}

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Noise Equivalent of Bandwidth Solution

Follow our step by step solution on how to calculate Noise Equivalent of Bandwidth?

FIRST Step Consider the formula

Δf = \frac{{D n}^{2}}{{D t}^{2} \cdot A}

Next Step Substitute values of Variables

∴

Δf = \frac{2^{2}}{{1.375}^{2} \cdot 4.2m²}

Next Step Prepare to Evaluate

∴

Δf = \frac{2^{2}}{{1.375}^{2} \cdot 4.2}

Next Step Evaluate

∴

Δf = 0.503738685556867Hz

LAST Step Rounding Answer

∴

Δf = 0.5037Hz

Noise Equivalent of Bandwidth Formula Elements

Variables

Noise Equivalent Bandwidth

Noise Equivalent Bandwidth represents the bandwidth of an ideal filter that would pass the same noise power as the transducer, affecting its signal-to-noise ratio.

Symbol: Δf

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Noise Equivalent Bandwidth

Normalized Detectivity

Normalized Detectivity is used to evaluate the performance of a photodetector. It combines sensitivity and noise characteristics, providing a measure of detection capability across different devices.

Symbol: D_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Normalized Detectivity

Transducer Detectivity

Transducer Detectivity is the detectivity normalized to a unit detector area and detection bandwidth.

Symbol: D_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transducer Detectivity

Detector Area

Detector Area refers to the surface area of a sensor or detector that is exposed to incoming signals or particles. It influences the detection efficiency and sensitivity of the device.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Detector Area

Other formulas in Transducers category

Go Sensitivity of Photoresistive Transducer

ΔS = \frac{ΔR}{ΔH}

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ΔR = ΔH \cdot ΔS

Go Current Generator Capacitance

C g = C t + C amp + C cable

Go Capacitance of Transducer

C t = C g - (C amp + C cable)

How to Evaluate Noise Equivalent of Bandwidth?

Noise Equivalent of Bandwidth evaluator uses Noise Equivalent Bandwidth = Normalized Detectivity^2/(Transducer Detectivity^2*Detector Area) to evaluate the Noise Equivalent Bandwidth, The Noise Equivalent of Bandwidth formula is defined as the effective bandwidth of the noise present in the detection system, considering factors such as the detectivity of the transducer and the area of the detector. It helps in characterizing the noise performance of the system, which is crucial for various signal processing applications. Noise Equivalent Bandwidth is denoted by Δf symbol.

How to evaluate Noise Equivalent of Bandwidth using this online evaluator? To use this online evaluator for Noise Equivalent of Bandwidth, enter Normalized Detectivity (D_n), Transducer Detectivity (D_t) & Detector Area (A) and hit the calculate button.

FAQs on Noise Equivalent of Bandwidth

What is the formula to find Noise Equivalent of Bandwidth?

The formula of Noise Equivalent of Bandwidth is expressed as Noise Equivalent Bandwidth = Normalized Detectivity^2/(Transducer Detectivity^2*Detector Area). Here is an example- 0.503739 = 2^2/(1.375^2*4.2).

How to calculate Noise Equivalent of Bandwidth?

With Normalized Detectivity (D_n), Transducer Detectivity (D_t) & Detector Area (A) we can find Noise Equivalent of Bandwidth using the formula - Noise Equivalent Bandwidth = Normalized Detectivity^2/(Transducer Detectivity^2*Detector Area).

Can the Noise Equivalent of Bandwidth be negative?

No, the Noise Equivalent of Bandwidth, measured in Frequency cannot be negative.

Which unit is used to measure Noise Equivalent of Bandwidth?

Noise Equivalent of Bandwidth is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Noise Equivalent of Bandwidth can be measured.

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Noise Equivalent of Bandwidth Formula

Noise Equivalent of Bandwidth Example

Noise Equivalent of Bandwidth Solution

Noise Equivalent of Bandwidth Formula Elements

Other formulas in Transducers category

How to Evaluate Noise Equivalent of Bandwidth?

FAQs on Noise Equivalent of Bandwidth

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