“…- Qualitative algebraic models of stress hierarchies , from Chomsky, Halle & Lukoff (1956) through Chomsky & Halle (1968) and the metrical theory of Liberman & Prince (1977) to Selkirk (1984) and optimality theories (Prince & Smolensky 2004), sometimes accompanied by quantitative studies of phonetic correlates.
- Symbol–signal interface analysis , which combines qualitative with quantitative methods and relates linguistic units to intervals in the speech signal by annotating them with timestamps, often in an attempt to find ‘rhythm classes’ of languages in terms of irregularity of timing (Lehiste 1970, Jassem 1952, Roach 1982, Jassem et al 1984, Scott Isard & de Boysson-Bardies 1985, Ramus, Nespor & Mehler 1999, Grabe & Low 2002, Asu & Nolan 2006, Li, Yin & Zu 2006, Wagner 2007, Dellwo 2010, Yu & Gibbon 2015, Dihingia & Sarmah 2020).
- Quantitative modulation-theoretic signal processing , with production and perception models which represent low frequency components of the speech signal, ranging from the rhythmograms of Todd & Brown (1994) and Ludusan, Origlia & Cutugno (2011) through the coupled oscillators of Cummins & Port (1998), Barbosa (2002), Malisz et al (2016) and the sonority patterns of Galves et al (2002) and Fuchs & Wunder (2015), to the low frequency envelope spectrum of Tilsen & Johnson (2008), the cubic spline approximation approach of Tilsen & Arvaniti (2013), and the long-term LF spectrum approach of Gibbon (2018, 2019).
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