Example: Upsampling by 2

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Index: Spectral Audio Signal Processing

Spectral Audio Signal Processing

Downsampling (Decimation) Operator

Example: Downsampling by 2

Filtering and Downsampling

To downsample a signal by the factor N means to form a new signal consisting of every Nth sample of the original signal. — Click for https://ccrma.stanford.edu/~jos/mdft/Downsampling_Operator.html

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Index: Spectral Audio Signal Processing

Spectral Audio Signal Processing

Downsampling (Decimation) Operator

Example: Downsampling by 2

Filtering and Downsampling

Example: Upsampling by 2

For , upsampling (stretching) by 2 can be expressed as
$y=[x_0,0,x_1,0,\ldots]$ , so that

$\displaystyle Y(z) \eqsp X(z^2) \eqsp \hbox{\sc Repeat}_2(X),$

(12.2)

as discussed more fully in §2.3.11.

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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2022-02-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

Example: Upsampling by 2

``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1. Copyright © 2022-02-28 by Julius O. Smith III Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2022-02-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA), Stanford University