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Walking in Fourier’s space: algorithms for the computation of periodicities in song patterns by the cricket Gryllus bimaculatus

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Abstract

Is discrimination of the envelope of an acoustic signal based on spectral or temporal computations? To investigate this question for the cricket Gryllus bimaculatus, pattern envelopes were constructed by the addition of several sine waves and modified by systematic phase changes. The phonotactic response of female crickets towards such sinusoidal but also rectangular pulse patterns was quantified on a locomotion compensator. Envelope patterns that exhibited a modulation frequency of 25 Hz as the dominant frequency were attractive and although changes of phase modified the temporal pattern, the values of attractiveness remained unaffected. Removal of the 25-Hz component reduced the phonotactic scores. Patterns in which other frequency components exhibited a larger amplitude than the 25-Hz component were less attractive. However, the combination of an unattractive pulse period with the attractive modulation frequency of 25 Hz in a pattern revealed that such stimuli were unattractive despite the presence of the 25-Hz component. A comparison of the attractiveness of all patterns revealed that female crickets evaluated the duration of pulse period over a wide range of duty cycles. The combined evidence showed that pattern envelopes were processed in the time- and not in the spectral domain.

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References

  • Barber CB, Dobkin DP, Huhdanpaa HT (1996) The Quickhull algorithm for convex hulls. ACM Trans Math Softw 22:469–483

    Article  Google Scholar 

  • Benda J, Hennig RM (2007) Spike-frequency adaptation generates intensity invariance in a primary auditory interneuron. J Comput Neurosci 24:113–136

    Article  PubMed  Google Scholar 

  • Bush SL, Schul J (2006) Pulse-rate recognition in an insect: evidence of a role for oscillatory neurons. J Comp Physiol A 192:113–121

    Article  Google Scholar 

  • de Cheveigne A (2006) Pitch perception models. In: Plack CJ, Oxenham AJ, Fay RR, Popper AN (eds) Pitch—neural coding and perception. Springer, New York, pp 167–233

    Google Scholar 

  • Deily JA, Schul J (2009) Seletive phonotaxis in Neoconocephalus nebrascensis (Orthoptera: Tettigoniidae): call recognition at two temporal scales. J Comp Physiol A 195:31–37

    Article  Google Scholar 

  • Doherty JA (1985) Trade-off phenomena in calling song recognition and phonotaxis in the cricket, Gryllus bimaculatus (Orthoptera, Gryllidae). J Comp Physiol 156:787–801

    Article  Google Scholar 

  • Friedel P, Bürck M, van Hemmen JL (2007) Neuronal identification of acoustic signal periodicity. Biol Cybern 97:247–260

    Article  PubMed  Google Scholar 

  • Gerhardt HC, Huber F (2002) Acoustic communication in insects and anurans. University of Chicago Press, Chicago

    Google Scholar 

  • Grothe B, Covey E, Casseday JH (2001) Medial superior olive of the big brown bat: neuronal responses to pure tones, amplitude modulations, and pulse trains. J Neurophysiol 86:2219–2230

    PubMed  CAS  Google Scholar 

  • Hartmann WM (1998) Signals, sound and sensation. Springer, Berlin

    Google Scholar 

  • Hennig RM (2003) Acoustic feature extraction by cross-correlation in crickets? J Comp Physiol A 189:589–598

    Article  CAS  Google Scholar 

  • Hennig RM, Weber T (1997) Filtering of temporal parameters of the calling song by cricket females of two closely related species: a behavioral analysis. J Comp Physiol A180:621–630

    Article  Google Scholar 

  • Hennig RM, Franz A, Stumpner A (2004) Auditory processing in insects. Micr Res Techn 63:351–374

    Article  CAS  Google Scholar 

  • Huber F, Moore TEM, Loher W (1989) Cricket behavior and neurobiology. Cornell University Press, Ithaca, NY

    Google Scholar 

  • Imaizumi K, Pollack GS (1999) Neural coding of sound frequency by cricket auditory receptors. J Neurosci 19:1508–1516

    PubMed  CAS  Google Scholar 

  • Imaizumi K, Pollack GS (2001) Neural representation of sound amplitude by functionally different auditory receptors in crickets. J Acoust Soc Am 109:1247–1260

    Article  PubMed  CAS  Google Scholar 

  • Joris PX, Schreiner CE, Rees A (2004) Neural processing of amplitude-modulated sounds. Physiol Rev 84:541–577

    Article  PubMed  CAS  Google Scholar 

  • Konishi M (1990) Similar algorithms in different sensory systems and animals. Cold Spring Harb Symp Quant Biol 1990(55):575–584

    Google Scholar 

  • Kostarakos K, Hartbauer M, Römer H (2008) Matched filters, mate choice and the evolution of sexually selected traits. PLoS ONE 3(8):e3005. doi:10.1371/journal.pone.0003005

    Article  PubMed  Google Scholar 

  • Krahe R, Ronacher B (1993) Long rise times of sound pulses in grasshopper songs improve the directionality cues received by the CNS from the auditory receptors. J Comp Physiol A 173:425–443

    Article  Google Scholar 

  • Krahe R, Budinger E, Ronacher B (2002) Coding of a sexually dimorphic song feature by auditory interneurons of grasshoppers: the role of leading inhibition. J Comp Physiol A 187:977–985

    Article  Google Scholar 

  • Langner G (1992) Periodicity coding in the auditory system. Hear Res 60:115–142

    Article  PubMed  CAS  Google Scholar 

  • Lorenz K (1943) Die angeborenen Formen möglicher Erfahrung. Z Tierpsychol 5:235–409

    Google Scholar 

  • Marr D (1982) Vision. W. H. Freeman, San Francisco

    Google Scholar 

  • Michelsen A, Larsen ON, Surlykke A (1985) Auditory processing of temporal cues in insect songs: frequency or time domain. In: Michelsen A (ed) Time resolution in auditory systems. Springer, Berlin

    Google Scholar 

  • Nabatiyan A, Poulet JFA, de Polavieja GG, Hedwig B (2003) Temporal pattern recognition based on instantaneous spike rate coding in a simple auditory system. J Neurophysiol 90:2484–2493

    Article  PubMed  CAS  Google Scholar 

  • Otte D (1992) The evolution of cricket songs. J Orthop Res 1:25–49

    Google Scholar 

  • Plack CJ, Oxenham AJ, Fay RR, Popper AN (2006) Pitch—neural coding and perception. Springer, New York

    Google Scholar 

  • Pollack GS, El-Feghaly E (1993) Calling song recognition in the cricket Teleogryllus oceanicus: comparison of the effects of stimulus intensity and sound spectrum on the selectivity for temporal pattern. J Comp Physiol A 171:759–765

    Article  Google Scholar 

  • Pollack GS, Hoy RR (1979) Temporal pattern as a cue for species-specific calling song recognition in crickets. Science 204:429–432

    Article  PubMed  Google Scholar 

  • Poulet JFA, Hedwig B (2005) Auditory orientation in crickets: pattern recognition controls reactive steering. PNAS 102:15665–15669

    Article  PubMed  CAS  Google Scholar 

  • Prinz P, Ronacher B (2002) Temporal modulation transfer functions in auditory receptor fibres of the locust (Locusta migratoria L.). J Comp Physiol A188:577–587

    Google Scholar 

  • Römer H, Lewald J (1992) High-frequency sound transmission in natural habitats: implications for the evolution of insect acoustic communication. Behav Ecol Sociobiol 29:437–444

    Article  Google Scholar 

  • Ronacher B, Hoffmann C (2003) Influence of amplitude modulated noise on the recognition of communication signals in the grasshopper Chorthippus biguttulus. J Comp Physiol A 189:419–425

    Article  CAS  Google Scholar 

  • Sabourin P, Gottlieb H, Pollack GS (2008) Carrier-dependent temporal processing in an auditory interneuron. J Acoust Soc Am 123:2910–2917

    Article  PubMed  Google Scholar 

  • Schildberger K (1984) Temporal selectivity of identified auditory neurons in the cricket brain. J Comp Physiol A 155:171–185

    Article  Google Scholar 

  • Schmidt A, Ronacher B, Hennig RM (2007) The role of frequency, phase and time for processing amplitude modulated signals by grasshoppers. J Comp Physiol A 194:221–233

    Article  Google Scholar 

  • Schüch W, Barth FG (1990) Vibratory communication in a spider: female responses to synthetic male vibrations. J Comp Physiol A 166:817–826

    Article  Google Scholar 

  • Schul J (1998) Song recognition by temporal cues in a group of closely related bushcricket species (genus Tettigonia). J Comp Physiol A 183:401–410

    Article  Google Scholar 

  • Schul J, Bush S (2002) Non-parallel coevolution of sender and receiver in the acoustic communication system of treefrogs. Proc R Soc Lond B 269:1847–1852

    Article  Google Scholar 

  • Shannon RV, Zeng FG, Kamath V, Wygonski J, Ekelid M (1995) Speech recognition with primary temporal cues. Science 270(5234):303–304

    Article  PubMed  CAS  Google Scholar 

  • Thorson J, Weber T, Huber F (1982) Auditory behaviour of the cricket. II. Simplicity of calling-song recognition in Gryllus, and anomalous phonotaxis at abnormal carrier frequencies. J Comp Physiol 146:361–378

    Article  Google Scholar 

  • Tinbergen N (1951) The study of instinct. Oxford University Press, Oxford

    Google Scholar 

  • Tschuch G (1977) Der Einfluß synthetischer Gesänge auf die Weibchen von Gryllus bimaculatus De Geer (Teil 2). Zool Jb Physiol 81:360–372

    Google Scholar 

  • Verburgt L, Fergusen JWH, Weber T (2007) Phonotactic response of female crickets on the Kramer treadmill: methodology, sensory and behavioural implications. J Comp Physiol A 194:79–96

    Article  Google Scholar 

  • von Helversen D, von Helversen O (1998) Acoustic pattern recognition in a grasshopper: processing in the time or frequency domain? Biol Cybern 79:467–476

    Article  Google Scholar 

  • Webb B, Wessnitzer J, Bush S, Schul J, Buchli J, Ijspeert A (2007) Resonant neurons and bushcricket behaviour. J Comp Physiol A 193:285–288

    Article  Google Scholar 

  • Weber T, Thorson J (1989) Phonotactic behavior of walking crickets. In: Huber F, Moore TE, Loher W (eds) Cricket behavior and neurobiology. Cornell University Press, Ithaca, NY, pp 310–339

    Google Scholar 

  • Weber T, Thorson J, Huber F (1981) Auditory behaviour of the cricket. I. Dynamics of compensated walking and discrimination paradigms on the Kramer treadmill. J Comp Physiol 141:215–232

    Article  Google Scholar 

  • Wendler G (1990) Pattern recognition and localization in cricket phonotaxis. In: Gribakin FG, Wiese K, Popov AV (eds) Sensory systems and communication in Arthropods. Birkhäuser, Basel, pp 387–394

    Google Scholar 

Download references

Acknowledgments

Anne Hanschke, Simone Götze, Viktor Naumov and Matti Rothbart kept the crickets running on the Kramer-Kugel. Jan Benda, Jan Clemens, Jannis Hildebrandt and Bernhard Ronacher helped with numerous discussions and comments and their insights to signal processing. The performed experiments comply with the “Principles of animal care”, publication No. 86-23, revised 1985 of the National Institute of Health, and also with the current laws of Germany. Funded by the DFG (he2812/3-1).

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Correspondence to R. Matthias Hennig.

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Hennig, R.M. Walking in Fourier’s space: algorithms for the computation of periodicities in song patterns by the cricket Gryllus bimaculatus . J Comp Physiol A 195, 971–987 (2009). https://doi.org/10.1007/s00359-009-0473-0

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