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Binary Connection Tree Series Adaptor

Suppose we wish to make a series reflection-free connection of adaptors $ B$ and $ C$ using a new three-port series adaptor $ A$ , as shown in Fig.F.9. We make the top port of adaptor $ A$ reflection free by matching its wave impedance $ R_A$ to the series combination of all other connected adaptors, i.e., $ R_A=R_B+R_C$ in this case. We mark the top port of $ A$ as being reflection-free using the `$ \perp$ ' symbol.

Figure F.9: Series connection of adaptors $ B$ and $ C$ using a reflection-free three-port series adaptor $ A$ .
\includegraphics[width=2.5in]{eps/AserB}



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``Physical Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2010, ISBN 978-0-9745607-2-4
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Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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