Calculate the relative error of two complex numbers

[hermano]

Homework Statement

Hi,

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

Homework Equations

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

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?

 

[collinsmark]

Homework Statement

Hi,

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

Homework Equations

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

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

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?

I guess it depends on the actual application. But if I were you I might try something like
error ratio, = │(z' - z)| / |z│