## Total System Rise Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2)
tsys = sqrt(ttx^2+tmod^2+tcd^2+tpmd^2+trx^2)
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Total System Rise Time - (Measured in Second) - Total System Rise Time is defined as the time taken for the system’s output signal to change from a specified low value to a specified high value.
Transmitter Rise Time - (Measured in Second) - Transmitter Rise Time is defined as the time taken for a signal to change from a specified low value to a specified high value.
Modal Dispersion Time - (Measured in Second) - Modal Dispersion Time is a type of dispersion that occurs in multimode fibers.
Fiber Rise Time - (Measured in Second) - Fiber Rise Time of a signal is essentially the time it takes for the signal to transition from a lower voltage level to a higher voltage level.
Pulse Spreading Time - (Measured in Second) - Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place.
Receiver Rise Time - (Measured in Second) - Receiver Rise Time is defined as the time taken for a signal to change from a specified low value to a specified high value.
STEP 1: Convert Input(s) to Base Unit
Transmitter Rise Time: 29.8 Second --> 29.8 Second No Conversion Required
Modal Dispersion Time: 0.01 Second --> 0.01 Second No Conversion Required
Fiber Rise Time: 319.1 Second --> 319.1 Second No Conversion Required
Pulse Spreading Time: 32.6 Second --> 32.6 Second No Conversion Required
Receiver Rise Time: 31.8 Second --> 31.8 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tsys = sqrt(ttx^2+tmod^2+tcd^2+tpmd^2+trx^2) --> sqrt(29.8^2+0.01^2+319.1^2+32.6^2+31.8^2)
Evaluating ... ...
tsys = 323.707970399247
STEP 3: Convert Result to Output's Unit
323.707970399247 Second --> No Conversion Required
323.707970399247 323.708 Second <-- Total System Rise Time
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Created by Vaidehi Singh
Prabhat Engineering College (P.E.C.), Uttar Pradesh
Vaidehi Singh has created this Calculator and 25+ more calculators!
Verified by Priyanka Patel
Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad
Priyanka Patel has verified this Calculator and 10+ more calculators!

## <Fiber Optic Parameters Calculators

Refractive Index of Material Given Optical Power
​ Go Refractive Index of Core = Ordinary Refractive Index+Non Linear Index Coefficient*(Incident Optical Power/Effective Area)
Carrier to Noise Ratio
​ Go Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power)
Total Dispersion
​ Go Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2)
Fiber Length Given Time Difference
​ Go Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core)

## Total System Rise Time Formula

Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2)
tsys = sqrt(ttx^2+tmod^2+tcd^2+tpmd^2+trx^2)

## What is the significance of Total System Rise Time?

The Total System Rise Time is a significant parameter in digital communication systems. The total system rise time is directly related to the maximum bit rate of the system. A shorter rise time allows for a higher bit rate, which means more data can be transmitted in a given amount of time. The rise time affects the integrity of the signal. If the rise time is too long, the signal can become distorted, leading to errors in data transmission. A longer rise time can lead to inter-symbol interference, where the signal for one bit overlaps with the signal for the next bit. This can also lead to errors in data transmission.

## How to Calculate Total System Rise Time?

Total System Rise Time calculator uses Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2) to calculate the Total System Rise Time, The Total System Rise Time is a key parameter in digital communication systems. It is defined as the time taken for the system’s output signal to change from a specified low value to a specified high value. The Total System Rise Time is the root sum square of the rise times from each contribution to the pulse rise-time degradation. This includes factors such as the rise times of the transmitter, the fiber, and the receiver, among others. Total System Rise Time is denoted by tsys symbol.

How to calculate Total System Rise Time using this online calculator? To use this online calculator for Total System Rise Time, enter Transmitter Rise Time (ttx), Modal Dispersion Time (tmod), Fiber Rise Time (tcd), Pulse Spreading Time (tpmd) & Receiver Rise Time (trx) and hit the calculate button. Here is how the Total System Rise Time calculation can be explained with given input values -> 323.708 = sqrt(29.8^2+0.01^2+319.1^2+32.6^2+31.8^2).

### FAQ

What is Total System Rise Time?
The Total System Rise Time is a key parameter in digital communication systems. It is defined as the time taken for the system’s output signal to change from a specified low value to a specified high value. The Total System Rise Time is the root sum square of the rise times from each contribution to the pulse rise-time degradation. This includes factors such as the rise times of the transmitter, the fiber, and the receiver, among others and is represented as tsys = sqrt(ttx^2+tmod^2+tcd^2+tpmd^2+trx^2) or Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2). Transmitter Rise Time is defined as the time taken for a signal to change from a specified low value to a specified high value, Modal Dispersion Time is a type of dispersion that occurs in multimode fibers, Fiber Rise Time of a signal is essentially the time it takes for the signal to transition from a lower voltage level to a higher voltage level, Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place & Receiver Rise Time is defined as the time taken for a signal to change from a specified low value to a specified high value.
How to calculate Total System Rise Time?
The Total System Rise Time is a key parameter in digital communication systems. It is defined as the time taken for the system’s output signal to change from a specified low value to a specified high value. The Total System Rise Time is the root sum square of the rise times from each contribution to the pulse rise-time degradation. This includes factors such as the rise times of the transmitter, the fiber, and the receiver, among others is calculated using Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2). To calculate Total System Rise Time, you need Transmitter Rise Time (ttx), Modal Dispersion Time (tmod), Fiber Rise Time (tcd), Pulse Spreading Time (tpmd) & Receiver Rise Time (trx). With our tool, you need to enter the respective value for Transmitter Rise Time, Modal Dispersion Time, Fiber Rise Time, Pulse Spreading Time & Receiver Rise Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know