Rise Time to Bandwidth Calculator | BW to RT Converter

This page provides a handy Rise time to Bandwidth calculator and explains the relationship between these two important signal characteristics. It offers formulas for converting between Bandwidth (BW) and Rise Time (RT) and vice versa.

Rise Time versus Bandwidth

  • Bandwidth refers to the highest frequency component present in a signal. Knowing the bandwidth is crucial for determining the bandwidth of the instrument needed to test that signal. It also aids in analyzing signal propagation across interconnects on a PCB.

Rise Time

Rise Time

  • The figure above illustrates the rise time of a signal with approximately a 50% duty cycle. This signal exhibits a 10-90% rise time.

Rise Time to Bandwidth Converter

Inputs

Outputs

The following calculator quickly converts rise time to bandwidth:

EXAMPLE:

  • INPUT: Rise time = 0.3 nsec
  • OUTPUT: Bandwidth = 1.16 GHz, Bandwidth = 1166.66 MHz

Bandwidth to Rise Time Converter

Inputs

Outputs

EXAMPLE:

  • INPUT: Bandwidth = 3.5 GHz
  • OUTPUT: Rise time = 0.099 ns

Rise Time to Bandwidth Calculator Formula

The following equation is used for Rise Time to Bandwidth conversion and vice versa:

Rise Time to Bandwidth Calculator

In the formula:

  • RT represents the 10 to 90% rise time of a square wave in nanoseconds (ns).
  • BW represents the bandwidth of a signal in Gigahertz (GHz).