**NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW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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## Order

The

orderof 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 elementsin the filter. This is the case in general for all filter implementations which arecanonical with respect to delay.