NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K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
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The order of a filter is defined as the order of its transfer function. Thus, from Eq. (B.2), the order of a causal, length FIR filter is (provided ).
Note from Fig. B.1 that is the total number of delay elements in the filter. This is the case in general for all filter implementations which are canonical with respect to delay.