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Vibration patterns of vocal cords representd by the one-mass model. A. Position of the right cord body mass (full line), and position of the left cord body mass (dot line). B. Right cord mass velocity. C. Speed of the body mass relative to its resting position (x 5 0). The vibration cycle is as follows: (1) Both left and right masses start separating from the resting position. (2) Maximum separation is reached, the relative speed becomes null, the cord tension inverts the movement, the velocity becomes negative in the right cord mass, and positive in the left cord mass. (3) Both masses come in close contact (possible collision effects) during a small fraction of time to separate again and start a new vibration cycle (4).

Vibration patterns of vocal cords representd by the one-mass model. A. Position of the right cord body mass (full line), and position of the left cord body mass (dot line). B. Right cord mass velocity. C. Speed of the body mass relative to its resting position (x 5 0). The vibration cycle is as follows: (1) Both left and right masses start separating from the resting position. (2) Maximum separation is reached, the relative speed becomes null, the cord tension inverts the movement, the velocity becomes negative in the right cord mass, and positive in the left cord mass. (3) Both masses come in close contact (possible collision effects) during a small fraction of time to separate again and start a new vibration cycle (4).

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Voice disorders are a source of increasing concern as normal voice quality is a social demand for at least one third of the population in developed countries in cases where voice is an essential resource in professional exercise. In addition, the growing exposure to certain pathogenic factors such as smoking, alcohol abuse, air pollution, and acous...

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Context 1
... equivalent global masses M gl,r of the vocal folds vibrate as a response to the force ( f cl,r ) ex- erted by the supraglottal and subglottal pressure differences. The vibration along the axis x will be described by the position of the global masses M gl,r at each instant ( Figure 3A). This movement when plotted versus time would be described by arch-like oscillation cycles, which are a result of ideally elastic cord collision, represented by the rectified sinusoids with frequencies u tl and u tr given by the resonant system composed by both cords as ...
Context 2
... resulting vibration patterns would be given by plots similar to the ones shown in Figure 3, these being the result of considering the cords as vibrat- ing freely, colliding once in a vocal cycle, and sep- arating again in a bouncing movement. The behavior of the cords between collisions would be given by the dynamics of the one-mass model as given in Equation 2. ...
Context 3
... templates shown in Figure 6 give a view of the results of the inverse filtering when applied to a specific voice trace ( Figure 6A). In Figure 6B, the correlate of the second derivative of the glottal source v g (n) is obtained (compare its resemblance with the trace in Figure 3C correspond- ing to sample case ''00B''). The integration of v g (n) results in the trace shown in Figure 6C, which should be associated with the glottal source correlate. ...
Context 4
... 27 The results presented here correspond to the subtraction of FIGURE 6. Signals involved in the inversion process: A. Voice sample from subject ''00B.'' B. Glottal source derivative correlate after the removal of the vocal tract from input voice, related with the relative speed between each cord center of masses-compare its behavior with the trace in Figure 3, C. C. Glottal source correlate showing a behavior corresponding to a stiffness slightly larger than expected (see the explanation given in the Results section). D. Glottal flow correlate as estimated from the integration of the glottal source correlate. ...
Context 5
... the case cor- responding to the figures in the sequel, the number of phonation cycles produced was 36. The first two parameters estimated are the pitch ( p 1 , Figure 13) and jitter ( p 2 , Figure 14). Parameters p 3-6 are three variants of shimmer estimated by different algo- rithms ( Figure 15). ...

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... One of the most used techniques is inverse filtering. In voice pathology detection, the vibratory dynamics of the vocal folds can be analyzed, removing the influence of vocal-tract resonances [33,34]. However, when dealing with genetic syndromes, vocalproperty alterations may not be uniquely associated with biomechanical factors of the vocal folds but also with several morphological anomalies that affect the vocal tract. ...
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... 6 The literature is rich in various phonation models that can be used in lieu of the BCM, including refined lumped-element (Galindo et al. 2017;Alzamendi et al. 2020) and high-fidelity models Movahhedi et al. 2021). The BCM has been selected herein for its reasonable computational requirements and demonstrated capability to capture the essential physics of phonation in various studies, see for example Zañartu et al. (2014); Serry et al. (2021); Deng et al. (2019Deng et al. ( , 2022; Titze (2004); Lowell and Story (2006); Gómez-Vilda et al. (2007). 7 This is essentially the same collision model as for the hybrid phonation model. ...
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