Digital Signal Processing Reference
In-Depth Information
4.2
Σ
Σ
z 1
Σ
0.1
1.117
z 1
0.02
5.2134
Y(z)
X(z)
Σ
Σ
z 1
0.4
1.1314
Σ
z 1
Σ
1.0
Σ
0.1594
z 1
0.5
Figure 6.15 Parallel connection of the IIR filter function H(z) .
whereas the algorithm employed to implement the structure shown in Figure 6.15
has the form
y 1 (n)
=
x(n)
+ 0 . 1
y 1 (n
1 )
+ 0 . 02
y 1 (n
2 )
y 2 (n)
=
4 . 2
y 1 (n)
1 . 117
y 1 (n
1 )
y 3 (n)
=
x(n)
0 . 4
y 3 (n
1 )
y 4 (n)
=
x(n)
y 4 (n
1 )
0 . 5 y 4 (n
2 )
y 5 (n)
= 1 . 1314
y 4 (n)
0 . 1594
y 4 (n
1 )
y(n)
=
y 2 (n)
+ 5 . 2134
y 3 (n)
+
y 5 (n)
Remember that under ideal conditions both algorithms give the same output
for a given input signal and the two structures realize the same transfer function
(6.22). But when the two algorithms have to be programmed and implemented
by hardware devices, the results would be very different and the accuracy of
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