In a finite input response (FIR) system observations or events far enough in the past have no effect on the current behaviour of the system. Typically this is true of systems that use a fixed window over the data of, say, the last N items and base responses only on these. However, this may also be less obvious. Some statistical time series analysis techniques are FIR such as a moving average as well as window-based neural networks.
FIR is in contrast to infinite impulse response (IIR) systems where there is no limit on how far backward data influences persist.
Used in Chap. 14: pages 206, 210, 216
Also known as: FIR
Used in glossary entries: infinite impulse response, large language model, moving average