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Homework Help: Calculate the relative error of two complex numbers

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

    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


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    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│
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