Sines+Noise+Transients Noise Model

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Spectral Audio Signal Processing

Sines + Noise + Transients Models

Sines+Noise+Transients Time-Frequency Maps

S+N+T Sound Examples

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The amplitude envelope, or relatively slowly-changing outline of a sound waveform, makes for a useful first approximation of the instantaneous loudness of the sound. — Click for http://en.wikipedia.org/wiki/ADSR_envelope

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In signal processing, noise is a random signal. Broadband noise contains energy over a wide range of frequencies. — Click for http://en.wikipedia.org/wiki/White_noise

Transients are short intervals during which the signal evolves quickly in some nontrivial or relatively unpredictable way (Bello, 2005). In computer music, the short attack portion of a sound is often treated as a transient signal. — Click for http://en.wikipedia.org/wiki/Transient_%28acoustics%29

Noise (in signal processing) is a random signal. In the language of statistical signal processing, a noise signal is typically modeled as 'stochastic process', which is in turn defined as a sequence of random variables. — Click for https://ccrma.stanford.edu/~jos/sasp/What_Noise.html

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Spectral Audio Signal Processing

Sines + Noise + Transients Models

Sines+Noise+Transients Time-Frequency Maps

S+N+T Sound Examples

Sines+Noise+Transients Noise Model

Figure 10.15 illustrates the nature of the noise modeling used in [149]. The energy in each Bark band ^11.12 is summed, and this is used as the gain for the noise in that band at that frame time.

**Figure 10.15:** Bark-band noise modeling (from [149]).
$\includegraphics[width=0.9\twidth]{eps/scottl-bark-noise}$

Figure 10.16 shows the frame gain versus time for a particular Bark band (top) and the piecewise linear envelope made from it (bottom). As illustrated in Figures 10.13 and 10.14, the step size for all of the Bark bands above 5 kHz is approximately 3 ms.

**Figure 10.16:** Amplitude envelope for one noise band (from [149]).
$\includegraphics[width=0.9\twidth]{eps/scottl-noise-env}$

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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

Sines+Noise+Transients Noise Model

``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