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perturbation_theory

# perturbation_theory - Perturbation theory Aim of the theory...

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Perturbation theory. Aim of the theory - predict the frequencies of formants relative to resonances of a uniform tube, based on how changes in tube geometry impact standing waves. Velocity antinode - pressure node (V) point of maximum velocity point of minimum pressure high kinetic energy constriction at this point will lower the resonant frequency Velocity node - pressure antinode (P) point of minimum velocity point of maximum pressure high potential energy constriction at this point will raise the resonant frequency Questions about F2. Suppose that the vocal tract is 16 cm long. Calculate the frequency of F2 for the uniform tube open at one end and closed at the other - no constrictions in the vocal tract like [schwa]. F2 = (2n-1)c = 3*35,000 = 1640 Hz 4L 4*16 Use the graphs of the F2 standing wave (over) to answer these questions: 1) Do you expect F2 to be higher or lower than 1640 Hz if the vocal tract is constricted at the lips?

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