Implementing IIR/FIR Filters

given
with
AN ( ⁄ 2)
= 0
and
r= 1 for N/2 < k ≤ N-1
Ak ( ) = AN ( – k)
N 1
φ( k)
πk –
= – ------------
N
N
for 1 ≤ k≤ --- -1
2
N
for 0 ≤ k ≤ --- -1
2
N 1
φ ( k ) π– πk
for + ≤ k≤ N-1
In summary, if a filter with an even number of symmetrical
real coefficients is desired, then the phase
must be linear, and the frequency response must
be symmetrical about N/2 and zero at N/2 (see Reference
1).
–
------------
N
=
---
N
2
7-14 MOTOROLA