MATLAB: How to handle polynomial expansion in MATLAb

Question

Dear all;

I have two vectors Z(m*1) and S(n*1) (Z is my data and S are coefficients from another formula) and I want to adjust Z values by some type of differencing like this:

 H(i)=Z(i)-0.3*Z(i-1)-0.105*Z(i-2)-0.059*Z(i-3)-...
 S=[0.3 0.105 0.059 ...]

I don't know how should I handle both S and Z with different dimensions? I appreciate your help

Answer 1

 H=filter([1,-S],0 , Z);