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Author(s) :
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Abstract :
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The model matching problem ${\bf
min}_{R(z)}\|W(z)-R(z)E(z)\|_\infty$ involved in multirate filter
banks design is addressed. A method is presented to design the
synthesis filter bank $R(z)$ with the order of $W(z)$ which is the
polyphase representation of the time delay of the reconstructed
signal. The existence conditions of such low-order $R(z)$ are
given in linear matrix inequalities (LMIs). The corresponding
$H_2$ model matching problem is solved in the same fashion. The
results are illustrated through examples. Examples demonstrate the
possibility of improving signal reconstruction error and reducing
the order of synthesis filters simultaneously by increasing
moderately time delay.
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