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Psychoacoustics of Dynamic ‘Center-of-Gravity’ Signals Larry Feth Ashok Krishnamurthy Ohio State University
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Spectral Center-of-Gravity Chistovitch and Lublinskaja (1976,1979) Perceptual Formant at ‘Center-of-Gravity’ Two-formant synthetic vowel Matched by adjustable single-formant signal Center frequency of match depends on relative amplitudes of the two formants
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Experimental Paradigm
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Chistovitch and Lublinskaja Results
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Voelcker Two-tone Signals
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Initially, led to the EWAIF model Envelope-Weighted Average of Instantaneous Frequency (time domain) Point by point multiply E x F values Sum over N periods Divide by sum of weights Indicates pitch change in periodic signals Helmholtz (1954, 2 nd English edition) Jeffress (1964)
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EWAIF Model
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IWAIF Model Predictions
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Two-tone resolution task Feth and O’Malley (1977) Two-tone resolution I = 1 dB; f independent variable ‘Voelcker-tone pair’ pitch discrimination inverted “u-shaped” psychometric functions Components resolved beyond –75% point ~3.5 Bark separation = jnnd
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Voelcker Signal: Discrimination Task
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Discrimination Results Jnnd – ‘Just not noticeable difference’ Filled circles Breakpoint estimates Open circles CR – critical ratio CBW CB – ‘empirical’ CBW Solid line TW envelope
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IWAIF Model Intensity Weighted Average of Instantaneous Frequency = Centroid of signal’s positive power spectrum (Anantharaman, et al., 1993)
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Dynamic Center-of-Gravity Effect Lublinskaja (1996) Three-formant synthetic Russian vowels Listeners identified vowels with : ‘conventional’ formant transitions co-modulated formant pairs that exhibit the same dynamic spectral center-of-gravity ID functions were very similar with formant pairs separated by 4.3 Bark or less
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Psychophysics Anantharaman (1998) Two-tone signals with dynamic c-o-g effect We called them ‘Virtual Frequency’ Glides Listeners matched transition rates in VF glides to those in FM glides IWAIF model predicts results for transitions from 2 to ~5 ERB
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Dynamic Center-of-Gravity Signals Waveform Long-term Spectrum Spectrogram
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Rate-matching results
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Model Results
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Short-term running IWAIF Model
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IWAIF Model Results
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Application of ST-IWAIF Model
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More Psychophysics Research Question(s) What is being ‘integrated’ in spectral integration? OR Where in the auditory system is the processing located?
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Psychophysics Iyer, et al., (2001) Temporal acuity for FM and VF glides Step vs. linear ramp discrimination Similar T values may mean common process Masking patterns for FM and VF glides Peripheral process i.e., ‘Energy Masking’ Different results – VF not peripheral process
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Temporal Acuity Paradigm Step (red) versus Glide (blue) transitions for FM tone (left panel) and Virtual Frequency (right panel)
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Temporal Acuity Results Just discriminable step duration for FM (solid lines; filled symbols) and VF (dashed lines; unfilled symbols) signals. Frequency separations are 2, 5 and 8 ERBu. The results for 1000 Hz are represented by circles and those for 4000 Hz by triangles. Average for 4 listeners.
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Dynamic Center-of-Gravity Maskers Masking of brief probe by FM glide (left panel) and by VF glide (right panel). Probe is in the spectro-temporal center of each masker. Five auditory filter bands are illustrated. Time Fl Fc Fh Time Fl Fc Fh
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Masking Results Masking of a 20 ms probe by FM (light blue) and VF (darker blue) maskers. The probe is placed at the beginning, middle, and end of the masker. Significant differences are seen at 5 and 8 ERB for the middle position and the initial position at 8 ERB. Average for 4 listeners.
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Glide Direction Asymmetry Gordon and Poeppel 3 Frequency ranges: (for F 1,F 2 & F 3 ) ~ 30 unpracticed listeners 20 trials / signal One interval Direction Identification: Up vs. Dn Best results at high frequency (F 3 ) range 10- through 160 ms ‘Up’ is easier to ID than ‘Dn’ Less clear-cut results at low or mid-freq. ranges
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Glide Direction Asymmetry Gordon and Poeppel – ARLO (2002) Identification of FM Sweep direction is easier for rising than for falling tones.
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Glide Direction Asymmetry Dawson, (2002) Tested only high frequency range (F 3 ) Practiced listeners; ~ 100% all conditions! Modified procedure Rove each frequency sweep over 1 octave Practice to ~ asymptote
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Glide ID Results Average for 4 listeners One-interval ID task 250 trials / datum point Well-practiced Subj’s Starting frequency roved over 1-octave range Summary FM ‘easier’ than VF Up ‘easier’ than Down
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CV Identification Experiment [da] – [ga] continuum: varying F 3 transition Duration: 50 ms transition into 200 ms base F 3 onset: 2018 to 2658 Hz in 80 Hz steps F 3 base: 2527 Hz (constant) Formant transition ‘type’: Klatt synthesizer Frequency Modulated tone glide Virtual Frequency glide
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CV Identification: Stimuli Spectrogram 1. Step 1 of Klatt Monaural Continuum—/ga/ endpoint
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CV Identification: Stimuli Spectrogram 2. Step 1 of FM Monaural Continuum—/ga/ endpoint
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CV Identification: Stimuli Spectrogram 3. Step 1 of VF Monaural Continuum—/ga/ endpoint
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CV Identification: Stimuli Spectrogram 4. Step 1 of Dichotic FM Continuum—/ga/ endpoint
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CV Identification: Stimuli Spectrogram 5. Step 1 of Dichotic VF Continuum—/ga/ endpoint
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CV Identification Experiment Listeners: 8 adults with normal hearing Procedure: One interval, 2-AFC 3 transition types: Klatt, FM or VF 6 of 8 tokens tested 20 repetitions / token Results are averaged for the 8 listeners
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CV Identification: Results
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Psychoacoustics of Dynamic ‘Center-of-Gravity’ Signals Conclusions ‘Excitation’ is integrated not signal energy The processing is central not peripheral Masking Patterns are very different Temporal Acuity results are similar for FM & VF glides Direction ID Asymmetry is similar for FM & VF glides
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Psychoacoustics of Dynamic ‘Center-of-Gravity’ Signals Conclusions CV identification functions are similar for: Klatt synthesized sounds FM formant sounds VF formant sounds Thus, it doesn’t matter how ‘excitation’ is moved from A to B, the brain will interpret it as the same sound. The effect is evident under dichotic listening; further support for central processing.
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Collaborators Rob Fox Nandini Iyer Jayanth Anantharaman Ewa Jacewicz Robin Dawson
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Psychoacoustics of Dynamic ‘Center-of-Gravity’ Signals Thank You Questions?
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Up vs. Down FM Glide
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Up vs. Down VF Glide
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Effect of Masker Direction Masking produced by VF (above) and FM (below) maskers with F = 5 ERB. Purple bars are “up” glides; yellow bars are “down” glides. Centered probe.
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Effect of Masker Position Masking produced by VF (above) and FM (below) maskers with F = 5 ERB. Purple bars are “up” glides; yellow bars are “down” glides.
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Klatt & FM Parameters
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Virtual Frequency Parameters
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