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Nested Allpass Filters


$\displaystyle H_2(z) = S_1\left([z^{-1}S_2(z)]^{-1}\right) \mathrel{\stackrel{\mathrm{\Delta}}{=}}\frac{k_1+z^{-1}S_2(z)}{1+k_1z^{-1}S_2(z)}
$


\epsfig{file=eps/aptwoh.eps,width=\textwidth }

(a)
Nested direct-form-II structures
(b)
Two-multiply lattice-filter structure (equivalent)


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``Computational Acoustic Modeling with Digital Delay'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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