User`s guide

Direct-Form II Transpose Filter
5-134
5Direct-Form II Transpose Filter
Purpose Apply an IIR filter to the input.
Library Filtering / Filter Designs
Description The Direct-Form II Transpose Filter block applies a transposed direct-form II
IIR filter to the input.
This is a canonical form that has the minimum number of delay elements. The
filter order is
max(m,n)-1.
An M-by-N sample-based matrix input is treated as M
∗N independent
channels, and an M-by-N frame-based matrix input is treated as N
independent channels. In both cases, the block filters each channel
independently over time, and the output has the same size and frame status as
the input.
The filter is specified in the parameter dialog box by its transfer function,
where the
Numerator parameter specifies the vector of numerator coefficients,
[b(1) b(2) ... b(m)]
and the Denominator parameter specifies the vector of denominator
coefficients,
[a(1) a(2) ... a(n)]
The filter coefficients are normalized by a
1
.
y(k)
u(k)
ΣΣ
z
-1
Σ
z
-1
Σ
z
-1
z
n
-1
(k) z
2
(k) z
1
(k)
. . .
b(m) b(2)b(3) b(1)
-a(n) -a(2)-a(3)
. . .
. . .
Hz()
Bz()
Az()
------------
b
1
b
2
z
1–
… b
m 1+
z
m 1–()–
+++
a
1
a
2
z
1–
… a
n 1+
z
n 1–()–
+++
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