how do I relate two arrays with a reference point ?

Given array y=[1 2 3 5 7] and x= [-2 -1 0 1 2 ] I need to generate a code that by inserting n number of zeroz between the y vector (expanding the vector)

ie: y=[1 0 0 2 0 0 3 0 0 5 0 0 7] would also expand the size of the x array by maintaining the zero as the center value x= [-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ] so that when the plotting the x&y values would result as a shift of the y values over the x axis with 0 as a reference.

This should work for both even and odd number of lengths of the x and y arrays.

I hope i could the expalnation was clear enough!

Cheers!

Answer 1

[Bruno Luong]

y=[1 2 3 5 7]; x= [-2 -1 0 1 2 ]

nz = 2; % number of zeros to be inserted
y(end+nz,:) = 0;
y = y(1:end-nz)
x = (0:length(y)-1)-(nz+1)*(find(x==0)-1)

Answer 2

[Banister]

Not the most efficient, but,

if mod(length(y),2)
x = -ceil(length(y)/2):ceil(length(y)/2);    % odd vector length
else
x = -length(y)/2:length(y)/2-1; % -1 on the other side to change zero position
end