Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

The ``Finite'' in FIR

From Eq.$ \,$ (5.7), we can see that the impulse response becomes zero after time $ M=N-1$ . Therefore, a tapped delay line (Fig.5.5) can only implement finite-duration impulse responses in the sense that the non-zero portion of the impulse response must be finite. This is what is meant by the term finite impulse response (FIR). We may say that the impulse response has finite support [52].


Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

[How to cite this work]  [Order a printed hardcopy]  [Comment on this page via email]

``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2014-03-23 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA