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Re: pitch strength algorithm?

Dear All,

In 1989 I have written a paper that solved (more or less) the pitch problem
mentioned by Pierre Divenyi. This paper was send to the JASA (MS89-008,
William Yost) but not published (it was reviewed by Brian Moore).
Its not available in electronic form, for people who want it I can send a
paper copy.
It also available in:
1) My dissertation.
2) IPO manuscript 674 ((Eindhoven The Netherlands, Jan. 1989) and in a
simplified form in report 693 (with FORTRAN CODE).
3) Patent application 8900520 The Netherlands.
4) Patent application 9020044007 Europe.
5) Patent application 487462 USA, United States Patent  5,321,636, June 14,
6) Patent application 45984/90 Japan.

3)..6) Philips International B.V., Eindhoven, The Netherlands, March 1989.

The basic idea of the solution is this:
1) represent each partial of each complex tone by a gaussian with Standard
Deviations of Julius Goldstein stochastic pitch model
2) calculate from each partial stochastic subharmonic components with a SD
derived from the partials
3) apply a renormalization on the joint subharmonic stochastic spectra
representations to calculate the probabilities (or pitch strengths) of the

The algorithm is thus similar to the Subharmonic Summation method of Dik
Hermes (JASA 1988 pp 257) but now it includes the stochastic nature of the
subharmonics in order to be able to calculate pitch strengts.

For the last 12 years I am not involved in pitch research anymore but to my
knowledge no paper has been published with the above idea yet (I now work on
speech/music quality, see e.g. ITU-T rec P.861, WWW.PSQM.COM or

John Beerends
KPN Research

-----Original Message-----
From: Pierre Divenyi [mailto:pdivenyi@MARVA4.NCSC.MED.VA.GOV]
Sent: Wednesday, September 27, 2000 20:34
Subject: pitch strength algorithm?

Dear List,

Here is a problem:

There are _i_ of complex sinusoids, each with _n_sub_i_  components that
are contiguous harmonics of  different fundamental frequencies _f0_sub_i_ ,
starting at harmonic number _k_sub_i . The goal is to equate these complex
sounds on the basis of their pitch strengths. What algorithm should be
applied to achieve this goal?

Thank you.

Pierre Divenyi

Pierre Divenyi, Ph.D.      Experimental Audiology Research (151)
                                      V.A. Medical Center, Martinez, CA
94553, USA
Phone: (925) 370-6745
Fax:     (925) 228-5738
E-mail :                       pdivenyi@marva4.ebire.org