eprintid: 20898 rev_number: 12 eprint_status: archive userid: 2326 dir: disk0/00/02/08/98 datestamp: 2016-06-09 08:02:40 lastmod: 2016-06-24 12:17:04 status_changed: 2016-06-09 08:02:40 type: workingPaper metadata_visibility: show creators_name: Thumfart, Andreas title: Discrete Evolutionary Spectra and their Application to a Theoryof Pitch Perception subjects: ddc-310 subjects: ddc-510 divisions: i-110400 abstract: A definition of discrete evolutionary spectra is given thatcomplements the notion of evolutionary spectral density given by Dahlhaus(Dahlhaus, R.: Fitting time series models to nonstationary processes. Preprint,Univ. Heidelberg, 1992). For processes that have a discrete evolutionary spectrum,the asymptotic behaviour of linear functionals of the periodogram is investigated.The results are applied in a mathematical analysis of Licklider's theory of pitchperception. A pitch estimator based on this theory is investigated with respect tothe shift of the pitch of the residue described by Schouten et al.(Schouten, J.F.,Ritsma, R.J., Lopes Cardozo: Pitch of the residue, J. Acoust.Soc.Am. Vol.34, No.8,1962, 1418-1424). date: 1995-07-29 id_scheme: DOI id_number: 10.11588/heidok.00020898 schriftenreihe_cluster_id: sr-10a schriftenreihe_order: 30 ppn_swb: 1657257789 own_urn: urn:nbn:de:bsz:16-heidok-208985 language: eng bibsort: THUMFARTANDISCRETEEV19950729 full_text_status: public place_of_pub: Heidelberg pages: 26 citation: Thumfart, Andreas (1995) Discrete Evolutionary Spectra and their Application to a Theoryof Pitch Perception. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/20898/1/beitrag.30.pdf