OmarMSaad/1D-Modified-Laplacian-of-Gaussian-Filter-for-Smoothing-and-Denoising-

# 1D-Modified-Laplacian-of-Gaussian-Filter-for-Smoothing-and-Denoising-
% 1D Modified Laplacian of Gaussian (MLOG).
% [Gaussian_1D_2_Diff_Modified]=MLOG(sigma,N) returns the 1-D Modified Laplacian of Gaussian Mask.
% "Automatic arrival time detection for earthquakes based on Modified Laplacian of Gaussian filter", in Computers and Geosciences journal.
% This filter is a denoising filter which can deal with several types of signals.
% DOI: https://doi.org/10.1016/j.cageo.2018.01.013
INPUT VARIABLES
% N : Filter Order
% sigma : standard deviation
%
% OUTPUT VARIABLES
% Gaussian_1D_2_Diff_Modified : The Cofficients of MLOG (Mask)
%
% COMMENTS:
% If you need to reach any equation in the paper rather than the final equation,
% you can change the name of the output in this function
%
% EXAMPLE:
% N = 10; sigma = 2.5;
% [Gaussian_1D_2_Diff_Modified]=MLOG(sigma,N);
%
% Code written by Omar M. Saad
% Last update: January 25, 2018
% Copyright 2018 Omar M. Saad
% Contact : omar.saad@ejust.edu.eg