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Paraunitary MIMO Filters

In §C.2, we generalized the allpass property $ 1=\left\vert H(e^{j\omega})\right\vert^2=H(e^{j\omega})H(e^{-j\omega})$ to the entire complex plane as

$\displaystyle {\tilde H}(z) H(z) = 1,
$

where $ {\tilde H}$ is defined as the paraconjugate of $ H$ . In the MIMO case, the paraconjugate is the same, but including a matrix transpose operation:



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``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2014-03-23 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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