How to design FIR Filter with weights

In an active noise cancellation (ANC) system using adaptive filtering, the desired response d(n) of the adaptive filter is the combination of the biomedical signals , and a noise derived from the reference input x(n), which is the ambient noise, after passing an unknown system. Here we consider the unknown system as a five-point FIR filter with coefficients Wo= {0.1, 0.3, 0.5, 0.3 0.1}.

How to pass the x(n) signal through the FIR FILTER?

Answer 1

[ES]

if your input is x(n), output y(n)=W01*x(n)+W02*x(n-1)+W03*x(n-2)+W04*x(n-3)+W05*x(n-4);

You have to handle y(1) to y(4) because, for them x(n-1) to x(n-4) will not be available.