A case study of biological pulsed sound : the blue whale’s southeast Pacific song unit, models and properties

Pulsed sounds are interesting as an example of complex biological sound. We propose a classification into two groups for the pulsed sounds: tonal or non-tonal. Two mathematical models allow to see the properties of the sound in both cases. This classification is useful for developing new measurements that can be more accurate and can distinguish between two possibilities of sound production. We apply our method to blue whale vocalization and find that the pulse rate corresponds to the fundamental frequency (not expressed in the spectrum) of the song. Thus, we reinforce the hypothesis that the sound is produced by only one organ and then filtered by the body of the giant.

[1]  William A. Watkins,et al.  The harmonic interval : fact or artifact in spectral analysis of pulse trains , 1968 .

[2]  J. Flanagan Speech Analysis, Synthesis and Perception , 1971 .

[3]  P. O. Thompson,et al.  Underwater Sounds from the Blue Whale, Balaenoptera musculus , 1971 .

[4]  T. Parks,et al.  Maximum likelihood pitch estimation , 1976, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[5]  K. Lau,et al.  On generalized harmonic analysis , 1980 .

[6]  R. R. Capranica,et al.  Bilateral syringeal interaction in vocal production of an oscine bird sound. , 1986, Science.

[7]  P. Slater,et al.  Bird Song: Biological Themes and Variations , 1995 .

[8]  W. Richardson Marine Mammals and Noise , 1995 .

[9]  K M Stafford,et al.  Low-frequency whale sounds recorded on hydrophones moored in the eastern tropical Pacific. , 1999, The Journal of the Acoustical Society of America.

[10]  Whitlow W. L. Au,et al.  Hearing by Whales and Dolphins , 2000, Springer Handbook of Auditory Research.

[11]  John A. Hildebrand,et al.  Acoustic Models of Sound Production and Propagation , 2000 .

[12]  H. Glotin Dominant speaker detection based on voicing for adaptive audio-visual ASR robust to speech noise , 2001 .

[13]  John A. Hildebrand,et al.  Biogeographic characterisation of blue whale song worldwide: using song to identify populations , 2023, J. Cetacean Res. Manage..

[14]  David M. Howard,et al.  Acoustics and Psychoacoustics , 2006 .

[15]  John A. Hildebrand,et al.  Behavioral context of call production by eastern North Pacific blue whales , 2007 .

[16]  Judith C. Brown Mathematics of pulsed vocalizations with application to killer whale biphonation. , 2008, The Journal of the Acoustical Society of America.

[17]  John A. Hildebrand,et al.  Worldwide decline in tonal frequencies of blue whale songs , 2009 .

[18]  Kathleen M. Stafford,et al.  Seasonal detection of three types of “pygmy” blue whale calls in the Indian Ocean , 2011 .

[19]  Chandra Salgado-Kent,et al.  Vocal characteristics of pygmy blue whales and their change over time. , 2011, The Journal of the Acoustical Society of America.

[20]  Christopher W Clark,et al.  Seasonal and geographical patterns of fin whale song in the western North Atlantic Ocean. , 2012, The Journal of the Acoustical Society of America.

[21]  Ramón Miralles,et al.  The pulsed to tonal strength parameter and its importance in characterizing and classifying Beluga whale sounds. , 2012, The Journal of the Acoustical Society of America.

[22]  Benoît Fabre,et al.  New acoustic model for humpback whale sound production , 2013 .

[23]  J. Barlow,et al.  Blue whale vocalizations recorded around New Zealand: 1964-2013. , 2014, The Journal of the Acoustical Society of America.

[24]  Luke Rendell,et al.  A new song recorded from blue whales in the Corcovado Gulf, Southern Chile, and an acoustic link to the Eastern Tropical Pacific , 2014 .

[25]  J. Gilbert,et al.  Evidence of biphonation and source–filter interactions in the bugles of male North American wapiti (Cervus canadensis) , 2016, Journal of Experimental Biology.

[26]  D. Mellinger,et al.  A pulsed-air model of blue whale B call vocalizations , 2017, Scientific Reports.

[27]  J. Reidenberg Fully Aquatic Mammal Sound Production Mechanisms , 2017 .

[28]  K. Stafford,et al.  Spatial and temporal trends in fin whale vocalizations recorded in the NE Pacific Ocean between 2003-2013 , 2017, PloS one.

[29]  C. Clark,et al.  Annual decrease in pulse rate and peak frequency of Southeast Pacific blue whale song types since 1970 , 2019 .