Cumulative Distribution Function Calculator

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Mobile Radio Propogation

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Frequency Reuse Concept

✖Average duration of fade refers to the average length of time during which the received signal strength experiences a significant decrease due to fading.ⓘ Average Duration of Fade [t_avg]			+10% -10%
✖Normalized LCR refers to Normalized Link Capacity Ratio. It is a metric used to evaluate the efficiency of a wireless communication link or system.ⓘ Normalized LCR [n_R]			+10% -10%

✖The Cumulative Distribution Function (CDF) refers to a statistical concept that describes the probability distribution of a random variable.ⓘ Cumulative Distribution Function [CDF]

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Formula

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Cumulative Distribution Function

Formula

`"CDF" = "t"_{"avg"}*"n"_{"R"}`

Example

`"38.5"="3.5s"*"11"`

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Cumulative Distribution Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cumulative Distribution Function = Average Duration of Fade*Normalized LCR
CDF = t_avg*n_R
This formula uses 3 Variables

Variables Used

Cumulative Distribution Function - The Cumulative Distribution Function (CDF) refers to a statistical concept that describes the probability distribution of a random variable.
Average Duration of Fade - (Measured in Second) - Average duration of fade refers to the average length of time during which the received signal strength experiences a significant decrease due to fading.
Normalized LCR - Normalized LCR refers to Normalized Link Capacity Ratio. It is a metric used to evaluate the efficiency of a wireless communication link or system.

STEP 1: Convert Input(s) to Base Unit

Average Duration of Fade: 3.5 Second --> 3.5 Second No Conversion Required
Normalized LCR: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CDF = t_avg*n_R --> 3.5*11

Evaluating ... ...

CDF = 38.5

STEP 3: Convert Result to Output's Unit

38.5 --> No Conversion Required

FINAL ANSWER

38.5 <-- Cumulative Distribution Function

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 16 Mobile Radio Propogation Calculators

Selective Retransmission

Go Selective Retransmission = (Number of Word Message Consist*Information Bits)/(Header Bits*Expected Number of Transmission+Number of Bits per Word*Expected One Transmission*Number of Word Message Consist)

Stop-and-Wait ARQ Technique

Go Stop-and-Wait ARQ Technique = (Number of Word Message Consist*Information Bits)/((Header Bits+Number of Bits per Word*Number of Word Message Consist)*Expected Number of Transmission)

Level Crossing Rate

Go Level Crossing Rate = (sqrt(2*pi))*Maximum Doppler Shift*Normalized RMS Value*e^(-(Normalized RMS Value^2))

Mobile Radio Distance

Go Transmitter Reciever Distance = (Path Loss Coefficient/Mobile Reciever Carrier Power)^(1/4)

Path Loss Coefficient

Go Path Loss Coefficient = Mobile Reciever Carrier Power/(Transmitter Reciever Distance^-4)

Mobile Reciever Carrier Power

Go Mobile Reciever Carrier Power = Path Loss Coefficient*Transmitter Reciever Distance^-4

Maximum Possible S by N Ratio

Go Maximum Possible S/N Ratio = Actual S/N Ratio at Output*Noise Figure of Amplifier

Noise Figure

Go Noise Figure of Amplifier = Maximum Possible S/N Ratio/Actual S/N Ratio at Output

Cumulative Distribution Function

Go Cumulative Distribution Function = Average Duration of Fade*Normalized LCR

Short Term Fading

Go Short Term Fading = Mobile Radio Signal*Long Term Fading

Mobile Radio Signal

Go Mobile Radio Signal = Long Term Fading*Multipath Fading

Multipath Fading

Go Multipath Fading = Mobile Radio Signal/Long Term Fading

Long Term Fading

Go Long Term Fading = Mobile Radio Signal/Multipath Fading

Serial to Parallel Modulation Time Period

Go Time Period = Symbol Duration/Block of N Serial Source

Block of N Serial Source

Go Block of N Serial Source = Symbol Duration/Time Period

Symbol Duration

Go Symbol Duration = Block of N Serial Source*Time Period

Cumulative Distribution Function Formula

Cumulative Distribution Function = Average Duration of Fade*Normalized LCR
CDF = t_avg*n_R

Is CDF always continuous?

The cumulative distribution function (CDF), is always continuous (mayn't be differentiable though) for a continuous random variable. For discrete random variables, CDF is discontinuous

How to Calculate Cumulative Distribution Function?

Cumulative Distribution Function calculator uses Cumulative Distribution Function = Average Duration of Fade*Normalized LCR to calculate the Cumulative Distribution Function, The Cumulative distribution function formula is defined as is the probability that the variable takes a value less than or equal to x. Cumulative Distribution Function is denoted by CDF symbol.

How to calculate Cumulative Distribution Function using this online calculator? To use this online calculator for Cumulative Distribution Function, enter Average Duration of Fade (t_avg) & Normalized LCR (n_R) and hit the calculate button. Here is how the Cumulative Distribution Function calculation can be explained with given input values -> 38.5 = 3.5*11.

FAQ

What is Cumulative Distribution Function?

The Cumulative distribution function formula is defined as is the probability that the variable takes a value less than or equal to x and is represented as CDF = t_avg*n_R or Cumulative Distribution Function = Average Duration of Fade*Normalized LCR. Average duration of fade refers to the average length of time during which the received signal strength experiences a significant decrease due to fading & Normalized LCR refers to Normalized Link Capacity Ratio. It is a metric used to evaluate the efficiency of a wireless communication link or system.

How to calculate Cumulative Distribution Function?

The Cumulative distribution function formula is defined as is the probability that the variable takes a value less than or equal to x is calculated using Cumulative Distribution Function = Average Duration of Fade*Normalized LCR. To calculate Cumulative Distribution Function, you need Average Duration of Fade (t_avg) & Normalized LCR (n_R). With our tool, you need to enter the respective value for Average Duration of Fade & Normalized LCR 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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