The relative error between two complex numbers, z' = a' + i b' and z = a + i b, can be calculated using the formula error = |(z' - z)| / |z|. This approach is analogous to calculating relative error for real numbers, but it incorporates the magnitude of the complex numbers. The Error Vector Magnitude (EVM) is a relevant concept in this context, commonly used in communication systems to assess signal quality.
PREREQUISITESStudents in engineering, mathematicians, and professionals involved in signal processing or communication systems who need to understand error measurement in complex number approximations.
You might google Error Vector Magnitude (EVM). EVM measurements are done in communication systems (cell phones, WiFi, etc.) all the time.hermano said: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?
I guess it depends on the actual application. But if I were you I might try something likeThe 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?