[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]

*To*: AUDITORY@xxxxxxxxxxxxxxx*Subject*: Re: Robust method of fundamental frequency estimation.*From*: "Richard F. Lyon" <DickLyon@xxxxxxx>*Date*: Tue, 27 Feb 2007 12:44:35 -0800*Comments*: To: acamacho@cise.ufl.edu*Delivery-date*: Tue Feb 27 15:58:12 2007*In-reply-to*: <3836.209.251.130.178.1172586425.squirrel@webmail.cise.ufl.edu>*List-archive*: <http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>*List-help*: <http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>, <mailto:LISTSERV@LISTS.MCGILL.CA?body=INFO AUDITORY>*List-owner*: <mailto:AUDITORY-request@LISTS.MCGILL.CA>*List-subscribe*: <mailto:AUDITORY-subscribe-request@LISTS.MCGILL.CA>*List-unsubscribe*: <mailto:AUDITORY-unsubscribe-request@LISTS.MCGILL.CA>*References*: <20070131171152.74585.qmail@web26301.mail.ukl.yahoo.com> <2a17c00a0701311310i538f446ana9c8532934e57529@mail.gmail.com> <2728.209.251.130.178.1170460061.squirrel@webmail.cise.ufl.edu> <p06230900c206338eee40@[192.168.23.150]> <3043.209.251.130.178.1172552172.squirrel@webmail.cise.ufl.edu> <1172561822.45e3df9e069a2@webmail.uni-magdeburg.de> <3836.209.251.130.178.1172586425.squirrel@webmail.cise.ufl.edu>*Reply-to*: "Richard F. Lyon" <DickLyon@xxxxxxx>*Sender*: AUDITORY - Research in Auditory Perception <AUDITORY@xxxxxxxxxxxxxxx>

Erick,

Arturo, that's funny! Eckard calls you Roberto and you come back calling him Erick. ROFL.

Let me describe my reasoning again with more detail. To facilitate the explanation let's assume we have infinite length signals and infinitely narrow filters. Applying the filterbank to the signal leave us with a decomposition of the signal into its sinusoidal components. Since there is only one sinusoid per channel, the spectrum at each channel consists of a single pulse (possibly of zero magnitude) at the central frequency of the channel. Computing autocorrelation at each channel corresponds to squaring the magnitude of the spectrum of the signal (a single pulse) and synthesizing a cosine at that frequency (by Wiener?Khinchin theorem). The summary autocorrelation just adds those cosines over channels.

This view of the narrowband limit of the filterbank completely misses the actual behavior that good cochlea models capture. The channels are not nearly so narrowband that their outputs can be considered to be even approximately sinusoidal. And there's also a half-wave rectifier at each channel output that you have waved away. Without these, of course the Licklider approach to pitch can not be made to work, nor can its differences from other approaches be appreciated.

Dick

**Follow-Ups**:**Re: Robust method of fundamental frequency estimation.***From:*Arturo Camacho

**References**:**Robust method of fundamental frequency estimation.***From:*Roisin Loughran

**Re: Robust method of fundamental frequency estimation.***From:*Yi-Wen Liu

**Re: Robust method of fundamental frequency estimation.***From:*Arturo Camacho

**Re: Robust method of fundamental frequency estimation.***From:*Richard F. Lyon

**Re: Robust method of fundamental frequency estimation.***From:*Arturo Camacho

**Re: Robust method of fundamental frequency estimation.***From:*Eckard Blumschein

**Re: Robust method of fundamental frequency estimation.***From:*Arturo Camacho

- Prev by Date:
**Re: Robust method of fundamental frequency estimation.** - Next by Date:
**Re: Robust method of fundamental frequency estimation.** - Previous by thread:
**Re: Robust method of fundamental frequency estimation.** - Next by thread:
**Re: Robust method of fundamental frequency estimation.** - Index(es):