SNR of Good Avalanche Photodiode ADP Receiver in decibels Calculator

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✖Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode.ⓘ Multiplication Factor [M]			+10% -10%
✖Photocurrent is the electrical current produced by the photodetector when exposed to light.ⓘ Photocurrent [I_p]			+10% -10%
✖Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.ⓘ Post Detection Bandwidth [B]			+10% -10%
✖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.ⓘ Dark Current [I_d]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.ⓘ Load Resistance [R_L]			+10% -10%

✖Signal to noise ratio is defined as the ratio of signal power to noise power, often expressed in decibels.ⓘ SNR of Good Avalanche Photodiode ADP Receiver in decibels [SNR_av]

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SNR of Good Avalanche Photodiode ADP Receiver in decibels

Formula

`"SNR"_{"av"} = 10*log10(("M"^2*"I"_{"p"}^2)/(2*"[Charge-e]"*"B"*("I"_{"p"}+"I"_{"d"})*"M"^2.3+((4*"[BoltZ]"*"T"*"B"*1.26)/"R"_{"L"})))`

Example

`"103.4595"=10*log10((("2")^2*("70mA")^2)/(2*"[Charge-e]"*"8e6Hz"*("70mA"+"11nA")*("2")^2.3+((4*"[BoltZ]"*"85K"*"8e6Hz"*1.26)/"3.31kΩ")))`

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SNR of Good Avalanche Photodiode ADP Receiver in decibels Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
SNR_av = 10*log10((M^2*I_p^2)/(2*[Charge-e]*B*(I_p+I_d)*M^2.3+((4*[BoltZ]*T*B*1.26)/R_L)))
This formula uses 2 Constants, 1 Functions, 7 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Functions Used

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., log10(Number)

Variables Used

Signal to Noise Ratio - Signal to noise ratio is defined as the ratio of signal power to noise power, often expressed in decibels.
Multiplication Factor - Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode.
Photocurrent - (Measured in Ampere) - Photocurrent is the electrical current produced by the photodetector when exposed to light.
Post Detection Bandwidth - (Measured in Hertz) - Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.
Dark Current - (Measured in Ampere) - 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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Load Resistance - (Measured in Ohm) - Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.

STEP 1: Convert Input(s) to Base Unit

Multiplication Factor: 2 --> No Conversion Required
Photocurrent: 70 Milliampere --> 0.07 Ampere (Check conversion here)
Post Detection Bandwidth: 8000000 Hertz --> 8000000 Hertz No Conversion Required
Dark Current: 11 Nanoampere --> 1.1E-08 Ampere (Check conversion here)
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Load Resistance: 3.31 Kilohm --> 3310 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SNR_av = 10*log10((M^2*I_p^2)/(2*[Charge-e]*B*(I_p+I_d)*M^2.3+((4*[BoltZ]*T*B*1.26)/R_L))) --> 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)))

Evaluating ... ...

SNR_av = 103.459515749619

STEP 3: Convert Result to Output's Unit

103.459515749619 --> No Conversion Required

FINAL ANSWER

103.459515749619 ≈ 103.4595 <-- Signal to Noise Ratio

(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

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Chandigarh University (CU), Punjab

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SNR of Good Avalanche Photodiode ADP Receiver in decibels

Go 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)))

Photocurrent due to Incident Light

Go Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))

Probability of Detecting Photons

Go Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)

Excess Avalanche Noise Factor

Go Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)

Total Photodiode Current

Go Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent

Optical Gain of Phototransistors

Go Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)

Average Number of Photons Detected

Go Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])

Single Pass Phase Shift through Fabry-Perot Amplifier

Go Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer

Total Root Mean Square Noise Current

Go Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)

Average Received Optical Power

Go Average Received Optical Power = (20.7*[hP]*Frequency Of Incident Light)/(Time Period*Quantum Efficiency)

Total Power Accepted by Fiber

Go Total Power Accepted by Fiber = Incident Power*(1-(8*Axial Displacement)/(3*pi*Radius of Core))

Multiplied Photocurrent

Go Multiplied Photocurrent = Optical Gain of Phototransistor*Responsivity of Photodetector*Incident Power

Temperature Effect on Dark Current

Go Dark Current in raised temperature = Dark Current*2^((Changed Temperature-Previous Temperature)/10)

Incident Photon Rate

Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)

Maximum Photodiode 3 dB Bandwidth

Go Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)

Maximum 3dB Bandwidth of Metal Photodetector

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)

Bandwidth Penalty

Go Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)

Long Wavelength Cutoff Point

Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy

Quantum Efficiency of Photodetector

Go Quantum Efficiency = Number of Electrons/Number of Incident Photons

Multiplication Factor

Go Multiplication Factor = Output Current/Initial Photocurrent

Electron Rate in Detector

Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Transit Time with respect to Minority Carrier Diffusion

Go Diffusion Time = Distance^2/(2*Diffusion Coefficient)

Longest Transit Time

Go Transit Time = Depletion Layer Width/Drift Velocity

3 dB Bandwidth of Metal Photodetectors

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time)

Detectivity of Photodetector

Go Detectivity = 1/Noise Equivalent Power

SNR of Good Avalanche Photodiode ADP Receiver in decibels Formula

What is SNR for Avalanche Photodiode Receiver?

The Signal-to-Noise Ratio (SNR) of an Avalanche Photodiode (APD) receiver is a crucial parameter that determines the quality of the received signal. The SNR at the output of an APD receiver includes the effects of photoinjected carriers, dark-generated carriers, and the receiver circuitry.

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

SNR of Good Avalanche Photodiode ADP Receiver in decibels calculator 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 calculate 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 calculate SNR of Good Avalanche Photodiode ADP Receiver in decibels using this online calculator? To use this online calculator 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. Here is how the SNR of Good Avalanche Photodiode ADP Receiver in decibels calculation can be explained with given input values -> 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))).

FAQ

What is SNR of Good Avalanche Photodiode ADP Receiver in decibels?

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 and is represented as SNR_av = 10*log10((M^2*I_p^2)/(2*[Charge-e]*B*(I_p+I_d)*M^2.3+((4*[BoltZ]*T*B*1.26)/R_L))) or 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))). Multiplication Factor is a measure of the internal gain provided by the Avalanche Photodiode, Photocurrent is the electrical current produced by the photodetector when exposed to light, Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal, 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, Temperature is the degree or intensity of heat present in a substance or object & Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.

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

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 is calculated using 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 calculate SNR of Good Avalanche Photodiode ADP Receiver in decibels, you need Multiplication Factor (M), Photocurrent (I_p), Post Detection Bandwidth (B), Dark Current (I_d), Temperature (T) & Load Resistance (R_L). With our tool, you need to enter the respective value for Multiplication Factor, Photocurrent, Post Detection Bandwidth, Dark Current, Temperature & Load Resistance 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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