optimization involving only linear time-invariant, discrete-time systems, which is then
solvable. An example is discussed and studied in detail to illustrate aspects in the
design process.
Studied in this paper are hybrid multirate filter banks which consist of analog analysis
filters, slow A/D converters, digital expanders, and digital synthesis filters. The
synthesis filters are designed to minimize the worst-case energy gain of the error
system, suitably weighted, between the filter bank and a fast A/D converter with some
time delay. This hybrid problem is reduced to one of
optimization involving only linear time-invariant, discrete-time systems, which is then
solvable. An example is discussed and studied in detail to illustrate aspects in the
design process.