To begin with, the reference to "classical" filterbank
designs, generally refers to the filterbank types that you
should have seen up to now. These include the following types,
that can be reviewed if necessary:
Drawbacks to Classical Implementation
The classical filterbanks that we have considered so far
(those listed above) give perfect reconstruction performance
only when the analysis and synthesis filters are ideal. With
non-ideal (i.e., implementable) filters,
aliasing will result from the downsampling/upsampling
operation and corrupt the output signal. Since aliasing
distortion is inherently non-linear, it may be very
undesirable in certain applications. Thus, long
analysis/synthesis filters might be required to force aliasing
distortion down to tolerable levels. The cost of long filters
is somewhat offset by the efficient polyphase implementation,
though.
That said, clever fliter designs have been proposed which
prevent aliasing in
neighboring
sub-bands. These designs include the following references:
Rothweiler,
Crochiere and Rabiner, and
Vaidyanathan. As
neighboring-subband aliasing typically constitutes the bulk of
aliasing distortion, these designs give significant
performance gains. In fact, such filter designs are used in
MPEG high-performance audio compression standards.
References-
J.H. Rothweiler. (1983). Polyphase quadrature filters - A new subband coding technique.
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R.E Crochiere and L.R. Rabiner. (1983). Multirate Digital Signal Processing.
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P.P. Vaidyanathan. (1993). Multirate Systems and Filter Banks.