Minimum Detectable Signal Calculator

Category	Engineering ↺
Engineering	Electronics ↺
Electronics	Radar System ↺

✖Total power of AM wave is equal to the sum of powers of carrier, upper sideband, and lower sideband frequency components.ⓘ Total power [P_t]			+10% -10%
✖transmitted gain is gain that is gained by the transmitterⓘ transmitted gain [G]			+10% -10%
✖Stefan-Boltzmann constant is a physical constant involving black body radiationⓘ Stefan-Boltzmann constant [σ]			+10% -10%
✖effective area of the receiving antenna is the area of receiving anteenaⓘ effective area of the receiving antenna [A]			+10% -10%
✖range of the target is the distance from the radar site to the target measured along the line of sightⓘ range of the target [R]			+10% -10%

✖minimum detectable signal is a signal at the input of a system whose power allows it to be detected over the background electronic noise of the detector systemⓘ Minimum Detectable Signal [S]

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Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 100+ more calculators!

Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Equation for Net Radiation of Evaporable Water

Net Radiation of Evaporable Water =Incident Solar Radiation Outside the Atmosphere*(1-Reflection Coefficient)*(Constant Depending on the Latitude+(Constant with an Average Value*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))-Stefan-Boltzmann constant*Mean Air Temperature^4*(0.56-0.092*sqrt(Actual Mean Vapor Pressure))*(0.1+(0.9*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine)) GO

Maximum Range Of The Radar

range of the target=sqrt(sqrt((Total power*transmitted gain*Stefan-Boltzmann constant*effective area of the receiving antenna)/16*3.14*3.14*minimum detectable signal)) GO

Effective Aperture Of antenna

antenna aperture efficiency=(Stefan-Boltzmann constant*Antenna Temperature)/Power Density Of antenna GO

Noise Temperature Of Antenna

Antenna Temperature=(Power Density Of antenna*antenna aperture efficiency)/Stefan-Boltzmann constant GO

Power Density Of antenna

Power Density Of antenna=(Stefan-Boltzmann constant*Antenna Temperature)/antenna aperture efficiency GO

Antenna Aperture Efficiency

antenna aperture efficiency=effective area of the receiving antenna/physical antenna area GO

Physical Antenna Area

physical antenna area=effective area of the receiving antenna/antenna aperture efficiency GO

Transmitted Gain

transmitted gain=4*3.14*effective area of the receiving antenna/Lambda^2 GO

Absolute Temp Of Resistor

absolute temperature resistor=Stefan-Boltzmann constant/power per unit GO

Power Per Unit Bandwidth

power per unit=Stefan-Boltzmann constant/absolute temperature resistor GO

Measured Runtime

measured runtime=2*range of the target/Speed of Light GO

Minimum Detectable Signal Formula

minimum detectable signal=(Total power*transmitted gain*Stefan-Boltzmann constant*effective area of the receiving antenna)/16*3.14*3.14*range of the target^4
S=(P<sub>t</sub>*G*σ*A)/16*3.14*3.14*R^4

More formulas

Range Of The Target GO

Measured Runtime GO

Maximum Unambiguous Range GO

Pulse Repletion Time GO

Pulse Repetition Frequency GO

Maximum Gain Of The Antenna GO

Max Power Density Radiated By Antenna GO

Power Density Radiated By Lossless Antenna GO

Effective Area Of The Receiving Antenna GO

Physical Antenna Area GO

Antenna Aperture Efficiency GO

Maximum Range Of The Radar GO

Transmitted Gain GO

Doppler Angular Frequency GO

Doppler Frequency GO

Radial Velocity GO

Transmitted Frequency GO

What is Minimum Detectable Signal?

A minimum detectable signal is a signal at the input of a system whose power allows it to be detected over the background electronic noise of the detector system

How to Calculate Minimum Detectable Signal?

Minimum Detectable Signal calculator uses minimum detectable signal=(Total power*transmitted gain*Stefan-Boltzmann constant*effective area of the receiving antenna)/16*3.14*3.14*range of the target^4 to calculate the minimum detectable signal, The Minimum Detectable Signal formula is defined as a signal that produces a signal-to-noise ratio of a given value m at the output. minimum detectable signal and is denoted by S symbol.

How to calculate Minimum Detectable Signal using this online calculator? To use this online calculator for Minimum Detectable Signal, enter Total power (P_t), transmitted gain (G), Stefan-Boltzmann constant (σ), effective area of the receiving antenna (A) and range of the target (R) and hit the calculate button. Here is how the Minimum Detectable Signal calculation can be explained with given input values -> 1.232E+20 = (1000*1*2*10)/16*3.14*3.14*10000^4.

FAQ

What is Minimum Detectable Signal?

The Minimum Detectable Signal formula is defined as a signal that produces a signal-to-noise ratio of a given value m at the output and is represented as S=(P_t*G*σ*A)/16*3.14*3.14*R^4 or minimum detectable signal=(Total power*transmitted gain*Stefan-Boltzmann constant*effective area of the receiving antenna)/16*3.14*3.14*range of the target^4. Total power of AM wave is equal to the sum of powers of carrier, upper sideband, and lower sideband frequency components, transmitted gain is gain that is gained by the transmitter, Stefan-Boltzmann constant is a physical constant involving black body radiation, effective area of the receiving antenna is the area of receiving anteena and range of the target is the distance from the radar site to the target measured along the line of sight.

How to calculate Minimum Detectable Signal?

The Minimum Detectable Signal formula is defined as a signal that produces a signal-to-noise ratio of a given value m at the output is calculated using minimum detectable signal=(Total power*transmitted gain*Stefan-Boltzmann constant*effective area of the receiving antenna)/16*3.14*3.14*range of the target^4. To calculate Minimum Detectable Signal, you need Total power (P_t), transmitted gain (G), Stefan-Boltzmann constant (σ), effective area of the receiving antenna (A) and range of the target (R). With our tool, you need to enter the respective value for Total power, transmitted gain, Stefan-Boltzmann constant, effective area of the receiving antenna and range of the target 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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