1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculate the relative error of two complex numbers

  1. Apr 20, 2012 #1
    1. The problem statement, all variables and given/known data
    Hi,

    I want to calculate the relative error between two complex numbers. Lets say z'=a' + i b' is an approximation of z = a + i b.


    2. Relevant equations

    How can I calculate the relative error between two complex numbers z' and z?

    3. The attempt at a solution

    Calculating the relative error of z' and z (if they were real) is done like: error = │(z' - z) / z │
    Is it the same for complex numbers?
     
  2. jcsd
  3. Apr 20, 2012 #2

    collinsmark

    User Avatar
    Homework Helper
    Gold Member

    You might google Error Vector Magnitude (EVM). EVM measurements are done in communication systems (cell phones, WiFi, etc.) all the time.

    I guess it depends on the actual application. But if I were you I might try something like
    error ratio, = │(z' - z)| / |z│
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Calculate the relative error of two complex numbers
  1. Relative Error? (Replies: 8)

  2. Error calculation (Replies: 1)

  3. Error calculations (Replies: 1)

  4. Calculating Errors (Replies: 1)

Loading...