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The ratio of the areas, 
, of the sections in the lossless tube may
be directly computed from the reflection coefficients:
Hence, assuming constant areas at the glottis the total cross section of
the vocal tract could be calculated:
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The method is subject to all the LP assumptions
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better normalization methods need to be employed so as to get realistic
cross sections
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with further fiddling this methods can be useful - for example as an
aid to the deaf
Alternatively this provides the reflection coefficients if we knew the areas.
Speech Vision Robotics group/Tony Robinson