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Perfect Reconstruction Cosine Modulated Filter Banks
By changing the phases
, the pseudoQMF filter bank can yield
perfect reconstruction:

(12.101) 
where
is the length of the polyphase filter (
).
If
, then this is the
oddly stacked PrincenBradley filter bank
and the analysis filters are related by cosine modulations of
the lowpass prototype:

(12.102) 
However, the length of the filters
can be any even multiple of
:

(12.103) 
The parameter
is called the overlapping factor. These
filter banks are also referred to as extended lapped
transforms, when
[159].
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