Properties of Paraunitary Systems
Paraunitary systems are essentially multi-input, multi-output (MIMO)
allpass filters. Let
denote the
matrix transfer
function of a paraunitary system. Some of its properties include the
following [98]:
- In the square case (
), the matrix determinant,
, is an allpass filter.
- Therefore, if a square
contains FIR elements, its determinant is a simple delay:
for some integer
.
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