Velocity Waves at a Rigid Termination

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Since the displacement is always zero at a rigid termination, the velocity is also:

$\displaystyle v(t,0) \equiv 0 \qquad v(t,L) \equiv 0$

Therefore, velocity waves reflect from a rigid termination with a sign flip just like displacement waves:

$\displaystyle v^{+}(n)$	$\displaystyle =$	$\displaystyle -v^{-}(n)$
$\displaystyle v^{-}(n+N/2)$	$\displaystyle =$	$\displaystyle -v^{+}(n-N/2) \protect$	(5.10)

written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.

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