I downloaded and looked at some of these files you linked to above. To get one notebook autocorr.nb
for example to run on V9, here are the steps I did:
Removed
<<Miscellaneous`Audio`
Since by
http://reference.wolfram.com/mathematica/Compatibility/tutorial/Miscellaneous/Audio.html
The functionality in is now available through the newly created Audio Package.
Also removed
<<Statistics`DescriptiveStatistics`
Since http://reference.wolfram.com/mathematica/Compatibility/tutorial/Statistics/DescriptiveStatistics.html
Functionality in this package has been added to the built-in Mathematica kernel.
is replaced by the kernel function Commonest.
Changed
snd=ReadSoundfile["oboe1.wav"]
to
snd=Import["ExampleData/rule30.wav","Data"][[1]]
However, ReadSoundfile did more than just read the sound data, it also did:

While Import["ExampleData/rule30.wav","Data"]
does not do that. It leaves the data as is:
snd[[1, 1 ;; 10]]
(* {0., -0.0078125, -0.0078125, -0.015625, -0.015625,
-0.0078125, -0.0078125, -0.0078125, -0.0078125, 0.} *)
If there is no other function to do this conversion, you can do the mapping yourself and do the conversion and look more into it. I did not do this for now as I just wanted to see what changes needed to make it work. If you have trouble with this conversion, you could post a separate question.
Now going on using the sound data as is.....
Replaced
ListPlot[sft,PlotJoined->True,PlotRange->All,PlotStyle->RGBColor[0,0,1],Frame->True];
by
ListPlot[sft,Joined->True,PlotRange->All,PlotStyle->RGBColor[0,0,1],Frame->True];
and it worked now


Ofcourse the plots do not look as the original ones, since the sound data was not scaled in this case as it was before.
Conclusion
To get this one notebook autocorr.nb
to work on V9, the above changes are what is needed.
You can examine the other notebooks the same way.
The code is hard to read, and they use UpperCase for variable names, which is bad. I am sure it can be optimized much more as it is full of explicit loops and procedural style which can be slow in Mathematica.
FYI, I have the old signal processing package (it does not run any more on newer versions) and the documentaions I kept here
As was mentioned above, V9 now contains many new signal processing functions.
Update:
Just to answer the comment below:
I also tried change pitchtrack.nb of the above mentioned package with no success.
I don't know how to replace DiscreteWindow, ContinuousPiecewiseData, and other
functions. Maybe these are built-in functions of the old Mathematica 2. Any help?
These are in the old signal processing package, which I added a link to above.


Basically those notebooks used the old Mathematica DSP package. Therefore, to use them now, they need to be converted to use the new DSP functions in V9 or other functions in current version of Mathematica.
FourierTransform
? $\endgroup$ – cartonn Jan 8 '13 at 19:55