# Digital Signal Processing/FIR Filter Design

## Filter structureEdit

A Finite Impulse Response (FIR) filter's output is given by the following sequence:

${\displaystyle y[n]=b_{0}x[n]+b_{1}x[n-1]+\cdots +b_{N}x[n-N]}$

The following figure shows the direct implementation of the above formula, for a 4th order filter: