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Total System Rise Time Formula

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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. Check FAQs

t sys = \sqrt{{t tx}^{2} + {t mod}^{2} + {t cd}^{2} + {t pmd}^{2} + {t rx}^{2}}

t_sys - Total System Rise Time?t_tx - Transmitter Rise Time?t_mod - Modal Dispersion Time?t_cd - Fiber Rise Time?t_pmd - Pulse Spreading Time?t_rx - Receiver Rise Time?

Total System Rise Time Example

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Here is how the Total System Rise Time equation looks like with Values.

Here is how the Total System Rise Time equation looks like with Units.

Here is how the Total System Rise Time equation looks like.

323.708 = \sqrt{{29.8}^{2} + {0.01}^{2} + {319.1}^{2} + {32.6}^{2} + {31.8}^{2}}

323.708s = \sqrt{{29.8s}^{2} + {0.01s}^{2} + {319.1s}^{2} + {32.6s}^{2} + {31.8s}^{2}}

323.708 = \sqrt{{29.8}^{2} + {0.01}^{2} + {319.1}^{2} + {32.6}^{2} + {31.8}^{2}}

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Total System Rise Time Solution

Follow our step by step solution on how to calculate Total System Rise Time?

FIRST Step Consider the formula

t sys = \sqrt{{t tx}^{2} + {t mod}^{2} + {t cd}^{2} + {t pmd}^{2} + {t rx}^{2}}

Next Step Substitute values of Variables

∴

t sys = \sqrt{{29.8s}^{2} + {0.01s}^{2} + {319.1s}^{2} + {32.6s}^{2} + {31.8s}^{2}}

Next Step Prepare to Evaluate

∴

t sys = \sqrt{{29.8}^{2} + {0.01}^{2} + {319.1}^{2} + {32.6}^{2} + {31.8}^{2}}

Next Step Evaluate

∴

t sys = 323.707970399247s

LAST Step Rounding Answer

∴

t sys = 323.708s

Total System Rise Time Formula Elements

Variables

Functions

Total System Rise Time

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.

Symbol: t_sys

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Total System Rise Time

Transmitter Rise Time

Transmitter Rise Time is defined as the time taken for a signal to change from a specified low value to a specified high value.

Symbol: t_tx

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Transmitter Rise Time

Modal Dispersion Time

Modal Dispersion Time is a type of dispersion that occurs in multimode fibers.

Symbol: t_mod

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Modal Dispersion Time

Fiber Rise Time

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.

Symbol: t_cd

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Fiber Rise Time

Pulse Spreading Time

Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place.

Symbol: t_pmd

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Pulse Spreading Time

Receiver Rise Time

Receiver Rise Time is defined as the time taken for a signal to change from a specified low value to a specified high value.

Symbol: t_rx

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Receiver Rise Time

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.

Syntax: sqrt(Number)

Other formulas in Fiber Optic Parameters category

Go Carrier to Noise Ratio

CNR = \frac{P car}{P rin + P shot + P the}

Go Fiber Length Given Time Difference

l = \frac{[c] \cdot t dif}{2 \cdot η core}

Go Total Dispersion

t t = \sqrt{{t cd}^{2} + {t pmd}^{2} + {t mod}^{2}}

Go Refractive Index of Material Given Optical Power

η core = n 0 + n 2 \cdot (\frac{P i}{A eff})

How to Evaluate Total System Rise Time?

Total System Rise Time evaluator 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 evaluate 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 t_sys symbol.

How to evaluate Total System Rise Time using this online evaluator? To use this online evaluator for Total System Rise Time, enter Transmitter Rise Time (t_tx), Modal Dispersion Time (t_mod), Fiber Rise Time (t_cd), Pulse Spreading Time (t_pmd) & Receiver Rise Time (t_rx) and hit the calculate button.

FAQs on Total System Rise Time

What is the formula to find Total System Rise Time?

The formula of Total System Rise Time is expressed as 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). Here is an example- 323.708 = sqrt(29.8^2+0.01^2+319.1^2+32.6^2+31.8^2).

How to calculate Total System Rise Time?

With Transmitter Rise Time (t_tx), Modal Dispersion Time (t_mod), Fiber Rise Time (t_cd), Pulse Spreading Time (t_pmd) & Receiver Rise Time (t_rx) we can find Total System Rise Time using the 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). This formula also uses Square Root (sqrt) function(s).

Can the Total System Rise Time be negative?

No, the Total System Rise Time, measured in Time cannot be negative.

Which unit is used to measure Total System Rise Time?

Total System Rise Time is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Total System Rise Time can be measured.

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Total System Rise Time Formula

Total System Rise Time Example

Total System Rise Time Solution

Total System Rise Time Formula Elements

Other formulas in Fiber Optic Parameters category

How to Evaluate Total System Rise Time?

FAQs on Total System Rise Time

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