You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: MeyerPartition.m
    path of file: ./repos/CS_MoCo_LAB/reconstruction/matlab/CS_LAB_matlab/utils/utils_TRAFO/CurveLab-2.1.3/fdct_usfft_matlab/Windows/Meyer
    
    the code of the file until where you have to start completion: function y = MeyerPartition(xhat, L, deg)
% MeyerPartition: Partitions a signal into a series of disjoint scales
%  Usage:
%     y = MeyerPartition(xhat, L, deg);
%  Inputs: 
%    xhat   Input signal
%    L      Coarsest Scale
%    deg    Degree of the polynomial
%  Outputs:
%    y     Vector of length 2*n
%  Description
%    Decomposes the Fourier transform of an object into dyadic
%    subbands by smooth windowing with orthonormal Meyer windows
%
% By Emmanuel candes, 2003-2004


        n = length(xhat);
	J = log2(n);
	y = zeros(1,2*n);
% 
%  Compute Partition at Coarse Level.
%

	[index, window] = CoarseMeyerWindow(L-1,deg);
	left_index = reverse(n/2 + 1 - index);
	left = xhat(left_index).* reverse(window);
	right_index = n/2 + index;
	right = xhat(right_index).* window;
	y(1:2^(L+1)) = [left right];

    
function y = MeyerPartition(xhat, L, deg)
% MeyerPartition: Partitions a signal into a series of disjoint scales
%  Usage:
%     y = MeyerPartition(xhat, L, deg);
%  Inputs: 
%    xhat   Input signal
%    L      Coarsest Scale
%    deg    Degree of the polynomial
%  Outputs:
%    y     Vector of length 2*n
%  Description
%    Decomposes the Fourier transform of an object into dyadic
%    subbands by smooth windowing with orthonormal Meyer windows
%
% By Emmanuel candes, 2003-2004


        n = length(xhat);
	J = log2(n);
	y = zeros(1,2*n);
% 
%  Compute Partition at Coarse Level.
%

	[index, window] = CoarseMeyerWindow(L-1,deg);
	left_index = reverse(n/2 + 1 - index);
	left = xhat(left_index).* reverse(window);
	right_index = n/2 + index;
	right = xhat(right_index).* window;
	y(1:2^(L+1)) = [left right];
	
%
%  Loop to Get Partition for  j = L - 1, ..., J - 3.
%
	for j = L-1:(J-3),
	  dyadic_points = [2^j 2^(j+1)];
	  [index, window] = DetailMeyerWindow(dyadic_points,deg); 
	  left_index = reverse(n/2 + 1 - index);
	  left = xhat(left_index).* reverse(window);
	  right_index = n/2 + index;
	  right = xhat(right_index).* window; 
	  y((2^(j+2)+1):(2^(j+3))) = [left right]; 
	end