Certain design approaches can guarantee stability, for example by using only feed-forward circuits such as an FIR filter.
It is also straightforward to avoid overflow in an FIR filter.
The extent of the impulse response is finite, and this would be classified as a fourth-order FIR filter.
Meeting a frequency response requirement with an FIR filter uses relatively straightforward procedures.
FIR digital filters may be implemented by the direct convolution of the desired impulse response with the input signal.
A moving average filter is a very simple FIR filter.
The transfer function of an FIR filter, on the other hand, has only a numerator as expressed in the general form derived below.
On the other hand, FIR filters can be easier to design, for instance, to match a particular frequency response requirement.
Unlike most FIR filters, it has a decimator or interpolator built into the architecture.
In a causal system, perfect linear phase can be achieved with a discrete-time FIR filter.