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Delay Line as a Digital Filter

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


Difference Equation

$\displaystyle y(n) = x(n-M)
$

Transfer Function

$\displaystyle H(z) = z^{-M}
$

Frequency Response

$\displaystyle H(e^{j\omega T}) = e^{-jM\omega T}, \quad \omega T\in [-\pi,\pi)
$


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Download Delay.pdf
Download Delay_2up.pdf
Download Delay_4up.pdf

``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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