NMSE of complex numbers

1. How do you find the amplitude of a complex number?
2. What is the formula of complex numbers?
3. How does Matlab calculate MSE?
4. How is complex numbers used in signal processing?

How do you find the amplitude of a complex number?

Resuming from there, we had determined t = tan^-1(b/a), which is called the amplitude or argument of the complex number a+ib and it is denoted by amp(a+ib). Principal amplitude: The value of t which lies in the interval (-π, π), is called the principal amplitude of the complex number a+ib.

What is the formula of complex numbers?

An equation of the form z= a+ib, where a and b are real numbers, is defined to be a complex number. The real part is denoted by Re z = a and the imaginary part is denoted by Im z = ib.

How does Matlab calculate MSE?

err = immse( X , Y ) calculates the mean-squared error (MSE) between the arrays X and Y . A lower MSE value indicates greater similarity between X and Y .

How is complex numbers used in signal processing?

Complex numbers shorten the equations used in DSP, and enable techniques that are difficult or impossible with real numbers alone. For instance, the Fast Fourier Transform is based on complex numbers.