User`s guide
Dyadic Synthesis Filter Bank
5-161
Symmetric Tree. The symmetric structure shown below (Tree structure set to
Symmetric) has 2
n
inputs, where n is the Number of levels parameter value.
The sample rate and bandwidth of the output are a factor of 2
n
higher than the
sample rate and bandwidth of the inputs, which are all equal.
Sample-Based Operation
An M-by-N sample-based matrix input is treated as M∗N independent
channels, and the block filters each channel independently over time. The
output is the same size as the input at each port, one output channel for each
input channel. As described earlier, for the asymmetric tree structure, each
input port has a different sample period.
M
in 1+,
M
in,
=
HP
LP
↑2
↑2
HP
↑2
LP
↑2
HP
↑2
LP
↑2
y
HP: highpass filter with f
c
≈ 1/2 Nyquist
LP: lowpass filter with
f
c
≈ 1/2 Nyquist
↑2: upsample by 2
u
1
u
2
u
3
u
7
u
2
n
HP
↑2
LP
↑2
HP
↑2
LP
↑2
HP
↑2
LP
↑2
HP
↑2
LP
↑2
. . .
. . .
. . .
. . .
u
4
u
5
u
6
Symmetric Fi
l
ter Ban
k
, n Leve
l
s
Σ
Σ
Σ
Σ
Σ
Σ
Σ
T
si
=(2
n
)T
s
for all 2
n
inputs
T
so
=T
s