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Spectral Audio Signal Processing
    FIR Digital Filter Design
       Optimal FIR Digital Filter Design
          Lp norms

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Lp norms

The $ Lp$ norm of an $ N$-dimensional vector $ x$ is defined as

$\displaystyle \left\Vert\,x\,\right\Vert _p \mathrel{\stackrel{\Delta}{=}}\left( \sum_{i=0}^{N-1} \vert x_i\vert^p \right)^ \frac{1}{p} $


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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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