- Several different nonrecursive filters can be made by changing
the delay (and thus order) and the coefficients of the filter terms.
- The general equation for an FIR (Finite Impulse Response) filter
is given by
where is the order of the filter.
- A filter can be defined simply by a set of coefficients. For
example if
the filter is third order, (i.e. ), and can be expanded into the
difference equation
- When the input to the FIR filter is a unit impulse sequence,
if and
otherwise, the output
is the unit impulse response.
``Mus 270a: Introduction to Digital Filters''
by Tamara Smyth,
Department of Music, University of California, San Diego.
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Copyright © 2019-02-25 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>