scenarios when using 'polyfit' with complex numbers in MATLAB R2023b
This might be a silly question, but This might be a silly question, but I'm relatively new to this, so bear with me..... This might be a silly question, but I'm relatively new to this, so bear with me..... I'm working with an scenario when trying to perform polynomial fitting on complex data using the `polyfit` function in MATLAB R2023b. The function seems to only accept real numbers, and I'm receiving the following behavior message: ``` behavior using polyfit Data must be real. ``` My code looks like this: ```matlab x = [1+1j, 2+2j, 3+3j, 4+4j]; % Complex input data y = [2+2j, 3+1j, 5+5j, 7+7j]; % Corresponding complex outputs % Attempting to fit a polynomial of degree 1 [p, S] = polyfit(x, y, 1); ``` I understand that `polyfit` is not designed for complex numbers, but I need to fit a polynomial to complex data for a specific application. I've read that I could separate the real and imaginary parts, but I am not sure how to properly implement that without losing the relationship between the two parts. Would I need to fit two separate polynomials, one for the real part and one for the imaginary part? If so, how do I best extract and recombine the results? I've tried the following approach: ```matlab real_x = real(x); real_y = real(y); imag_x = imag(x); imag_y = imag(y); % Fit polynomials for real and imaginary parts [real_p, S_real] = polyfit(real_x, real_y, 1); [imag_p, S_imag] = polyfit(imag_x, imag_y, 1); ``` This appears to work, but I am unsure how to evaluate and interpret the results correctly. Any guidance on how to properly handle complex polynomial fitting in MATLAB would be greatly appreciated! I'm working on a application that needs to handle this. What am I doing wrong? Any help would be greatly appreciated! This is part of a larger API I'm building. My team is using Matlab for this service. I appreciate any insights!