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SNR of Good Avalanche Photodiode ADP Receiver in decibels Formula

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Signal to noise ratio is defined as the ratio of signal power to noise power, often expressed in decibels. Check FAQs

SNR av = 10 \cdot \log 10 (\frac{M^{2} \cdot {I p}^{2}}{2 \cdot [Charge-e] \cdot B \cdot (I p + I d) \cdot M^{2.3} + (\frac{4 \cdot [BoltZ] \cdot T \cdot B \cdot 1.26}{R L})})

SNR_av - Signal to Noise Ratio?M - Multiplication Factor?I_p - Photocurrent?B - Post Detection Bandwidth?I_d - Dark Current?T - Temperature?R_L - Load Resistance?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?

SNR of Good Avalanche Photodiode ADP Receiver in decibels Example

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Here is how the SNR of Good Avalanche Photodiode ADP Receiver in decibels equation looks like with Units.

Here is how the SNR of Good Avalanche Photodiode ADP Receiver in decibels equation looks like.

103.4595 = 10 \cdot \log 10 (\frac{2^{2} \cdot 70^{2}}{2 \cdot 1.6E-19 \cdot 8E+6 \cdot (70 + 11) \cdot 2^{2.3} + (\frac{4 \cdot 1.4E-23 \cdot 85 \cdot 8E+6 \cdot 1.26}{3.31})})

103.4595 = 10 \cdot \log 10 (\frac{2^{2} \cdot {70mA}^{2}}{2 \cdot 1.6E-19C \cdot 8E+6Hz \cdot (70mA + 11nA) \cdot 2^{2.3} + (\frac{4 \cdot 1.4E-23J/K \cdot 85K \cdot 8E+6Hz \cdot 1.26}{3.31kΩ})})

103.4595 = 10 \cdot \log 10 (\frac{2^{2} \cdot 70^{2}}{2 \cdot 1.6E-19 \cdot 8E+6 \cdot (70 + 11) \cdot 2^{2.3} + (\frac{4 \cdot 1.4E-23 \cdot 85 \cdot 8E+6 \cdot 1.26}{3.31})})

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SNR of Good Avalanche Photodiode ADP Receiver in decibels Solution

Follow our step by step solution on how to calculate SNR of Good Avalanche Photodiode ADP Receiver in decibels?

FIRST Step Consider the formula

SNR av = 10 \cdot \log 10 (\frac{M^{2} \cdot {I p}^{2}}{2 \cdot [Charge-e] \cdot B \cdot (I p + I d) \cdot M^{2.3} + (\frac{4 \cdot [BoltZ] \cdot T \cdot B \cdot 1.26}{R L})})

Next Step Substitute values of Variables

∴

SNR av = 10 \cdot \log 10 (\frac{2^{2} \cdot {70mA}^{2}}{2 \cdot [Charge-e] \cdot 8E+6Hz \cdot (70mA + 11nA) \cdot 2^{2.3} + (\frac{4 \cdot [BoltZ] \cdot 85K \cdot 8E+6Hz \cdot 1.26}{3.31kΩ})})

Next Step Substitute values of Constants

∴

SNR av = 10 \cdot \log 10 (\frac{2^{2} \cdot {70mA}^{2}}{2 \cdot 1.6E-19C \cdot 8E+6Hz \cdot (70mA + 11nA) \cdot 2^{2.3} + (\frac{4 \cdot 1.4E-23J/K \cdot 85K \cdot 8E+6Hz \cdot 1.26}{3.31kΩ})})

Next Step Convert Units

∴

SNR av = 10 \cdot \log 10 (\frac{2^{2} \cdot {0.07A}^{2}}{2 \cdot 1.6E-19C \cdot 8E+6Hz \cdot (0.07A + 1.1E-8A) \cdot 2^{2.3} + (\frac{4 \cdot 1.4E-23J/K \cdot 85K \cdot 8E+6Hz \cdot 1.26}{3310Ω})})

Next Step Prepare to Evaluate

∴

SNR av = 10 \cdot \log 10 (\frac{2^{2} \cdot {0.07}^{2}}{2 \cdot 1.6E-19 \cdot 8E+6 \cdot (0.07 + 1.1E-8) \cdot 2^{2.3} + (\frac{4 \cdot 1.4E-23 \cdot 85 \cdot 8E+6 \cdot 1.26}{3310})})

Next Step Evaluate

∴

SNR av = 103.459515749619

LAST Step Rounding Answer

∴

SNR av = 103.4595

SNR of Good Avalanche Photodiode ADP Receiver in decibels Formula Elements

Variables

Constants

Functions

Signal to Noise Ratio

Signal to noise ratio is defined as the ratio of signal power to noise power, often expressed in decibels.

Symbol: SNR_av

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Signal to Noise Ratio

Multiplication Factor

Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Multiplication Factor

Photocurrent

Photocurrent is the electrical current produced by the photodetector when exposed to light.

Symbol: I_p

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Photocurrent

Post Detection Bandwidth

Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Post Detection Bandwidth

Dark Current

Dark current is the electric current that flows through a photosensitive device, such as a photodetector, even when there is no incident light or photons striking the device.

Symbol: I_d

Measurement: Electric CurrentUnit: nA

Note: Value should be greater than 0.

Formulas to find Dark Current

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Load Resistance

Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

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How to Evaluate SNR of Good Avalanche Photodiode ADP Receiver in decibels?

SNR of Good Avalanche Photodiode ADP Receiver in decibels evaluator uses Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance))) to evaluate the Signal to Noise Ratio, SNR of Good Avalanche Photodiode ADP Receiver in decibels formula is defined as the equation to calculate the Signal to noise ratio. The default value for figure of noise in good Avalanche Photodiode is 1dB which is approximately equal to 1.26. Signal to Noise Ratio is denoted by SNR_av symbol.

How to evaluate SNR of Good Avalanche Photodiode ADP Receiver in decibels using this online evaluator? To use this online evaluator for SNR of Good Avalanche Photodiode ADP Receiver in decibels, enter Multiplication Factor (M), Photocurrent (I_p), Post Detection Bandwidth (B), Dark Current (I_d), Temperature (T) & Load Resistance (R_L) and hit the calculate button.

FAQs on SNR of Good Avalanche Photodiode ADP Receiver in decibels

What is the formula to find SNR of Good Avalanche Photodiode ADP Receiver in decibels?

The formula of SNR of Good Avalanche Photodiode ADP Receiver in decibels is expressed as Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance))). Here is an example- 103.4595 = 10*log10((2^2*0.07^2)/(2*[Charge-e]*8000000*(0.07+1.1E-08)*2^2.3+((4*[BoltZ]*85*8000000*1.26)/3310))).

How to calculate SNR of Good Avalanche Photodiode ADP Receiver in decibels?

With Multiplication Factor (M), Photocurrent (I_p), Post Detection Bandwidth (B), Dark Current (I_d), Temperature (T) & Load Resistance (R_L) we can find SNR of Good Avalanche Photodiode ADP Receiver in decibels using the formula - Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance))). This formula also uses Charge of electron, Boltzmann constant and Common Logarithm (log10) function(s).

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SNR of Good Avalanche Photodiode ADP Receiver in decibels Formula

SNR of Good Avalanche Photodiode ADP Receiver in decibels Example

SNR of Good Avalanche Photodiode ADP Receiver in decibels Solution

SNR of Good Avalanche Photodiode ADP Receiver in decibels Formula Elements

Other formulas in Optical Detectors category

How to Evaluate SNR of Good Avalanche Photodiode ADP Receiver in decibels?

FAQs on SNR of Good Avalanche Photodiode ADP Receiver in decibels

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