User`s guide

Wavelet Analysis
5-531
(except the last) are half that of the output from the previous level. In general,
for an input with sample period T
si
=T
s
, and bandwidth BW, output y
k
has
sample period T
so,k
and bandwidth BW
k
.
Note that in frame-based mode, the change in the sample period of output y
k
is
reflected by its frame size, M
o,k
, rather than by its frame rate.
The bottom two outputs (y
n
and y
n+1
) share the same sample period,
bandwidth, and frame size because they originate at the same tree level.
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 at each port is the same size as the input, one output channel for each
input channel. As described earlier, each output port has a different sample
period.
The figure below shows the input and output sample periods for a 64-channel
sample-based input to a three-level filter bank. The input has a period of 1, so
the fastest output has a period of 2.
T
so k,
2
k
()T
s
1 kn≤≤()
2
n
()T
s
kn1+=()





=
BW
k
BW
2
k
----------
1 kn≤≤()
BW
2
n
----------
kn1+=()







=
M
ok,
M
i
2
k
-------
1 kn≤≤()
M
i
2
n
-------
kn1+=()









=