%
% Maximum likelihood estimation of noise spectrum from the residual of
% regression model with our newly developed nonparametric model (monotonic
% cubic spline), and estimation of regression coefficient standard deviation based on the estimated
% noise spectrum

%
% MAIN_noisespec.m    (MAIN code)
% noisespec_example.m (An example of how to use it)
%
% Version 1: 06/29/2022
%
% Yingli Zhu 
% email: zhuyingliouc@gmail.com 
%
% How to cite
% Zhu, Y., Mitchum, G. T., Doran, K. S., Chambers, D. P., & Liang, X. (2021). 
% Distinguishing between regression model fits to global mean sea level reconstructions.
% Journal of Geophysical Research: Oceans, 126, e2021JC017347. https://doi.org/10.1029/2021JC017347