Next 
Prev 
Top

Index 
JOS Index 
JOS Pubs 
JOS Home 
Search
The wave digital (WD) tonehole model closely approximates the tonehole transmissionline model described in [3]. This was verified by comparing the reflection function of a sixhole flute, as computed in [3], with the reflection function of a WD model of the flute. Figure 5 displays this comparison for a fingering that corresponds to the note G. A 5kHz lowpass filter was applied to both reflection functions in order to facilitate a visual comparison. In the WD model, fractional delaylengths were modelled using thirdorder Lagrange interpolation filters [5], which have a negligible error in a bandwidth of 5kHz. In order to further ensure that the comparison is focussed on the tonehole part of the model, viscothermal losses were neglected in both computations.
Figure 5:
Sixhole flute reflection function for the note G (the first three holes closed).

Note that the fit is so close that the difference between the curves is barely visible.
Next 
Prev 
Top

Index 
JOS Index 
JOS Pubs 
JOS Home 
Search
Download wdth.pdf