FIR Filters

GUIDE: Mathematics of the Discrete Fourier Transform (DFT) - Julius O. Smith III. FIR Filters

It appears that you are using AdBlocking software. The cost of running this website is covered by advertisements. If you like it please feel free to a small amount of money to secure the future of this website.

NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8. - Copyright © 2017-09-28 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

<< Previous page  TOC  INDEX  Next page >>


FIR Filters

$\ FIXME: Consider adding a section here on the one-zero filter, as in the filter tutorial. Or scan it, finally.$\

$\ FIXME: Leverage Matlab here – this is analysis$\

Figure B.1:The general, causal, finite-impulse-response (FIR)digital filter.
\

Figure B.1 depicts the general, causal, finite-impulse-response filter (FIR). The impulse response $h(n)$is obtained at the output when the input signal is the impulse signal $\. More formally, the impulse signal is defined by

\

If the $k$th tap is denoted $h_k$, then it is obvious from Fig. B.1that the impulse response signal is given by

\

In other words, the impulse response simply consists of the tap coefficients, prepended and appended by zeros.



Subsections

<< Previous page  TOC  INDEX  Next page >>

 

© 1998-2018 – Nicola Asuni - Tecnick.com - All rights reserved.
about - disclaimer - privacy