Abstract
Neural pair-correlation can be analyzed and represented in both the time and frequency domains. Sometimes it is easier to see the effects in the time domain correlograms, sometimes the frequency representation in the form of the coherence function gives more insight, for instance, about which frequency regions contribute to the correlation. Regardless the preference one might have of the domain for representing the interactions, calculations are generally easier and faster when performed in the frequency domain.
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References
Aertsen AM, Gerstein GL (1985 Aug 12) Evaluation of neuronal connectivity: sensitivity of cross-correlation. Brain Res 340(2):341–354
Aertsen AM, Smolders JW, Johannesma PI (1979 Mar 19) Neural representation of the acoustic biotope: on the existence of stimulus-event relations for sensory neurons. Biol Cybern 32(3):175–185
Averbeck BB, Lee D (2004 Apr) Coding and transmission of information by neural ensembles. Trends Neurosci 27(4):225–230
Barth DS, MacDonald KD (1996 Sep 5) Thalamic modulation of high-frequency oscillating potentials in auditory cortex. Nature 383(6595):78–81
Bedenbaugh P, Gerstein GL (1997 Aug 15) Multiunit normalized cross correlation differs from the average single-unit normalized correlation. Neural Comput 9(6):1265–1275
Brillinger DR, Bryant HL Jr, Segundo JP (1976 May 17) Identification of synaptic interactions. Biol Cybern 22(4):213–228
Brody CD (1999 Oct 1) Correlations without synchrony. Neural Comput 11(7):1537–1551
Brown EN, Kass RE, Mitra PP (2004 May) Multiple neural spike train data analysis: state-of-the-art and future challenges. Nat Neurosci 7(5):456–461
Brunel N, Hakim V (1999 Oct 1) Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput 11(7):1621–1671
De la Rocha J, Doiron B, Shea-Brown E, Josić K, Reyes A (2007 Aug 16) Correlation between neural spike trains increases with firing rate. Nature 448(7155):802–806
Eggermont JJ (1992a Oct) Neural interaction in cat primary auditory cortex. Dependence on recording depth, electrode separation, and age. J Neurophysiol 68(4):1216–1228
Eggermont JJ (1992b Aug) Stimulus induced and spontaneous rhythmic firing of single units in cat primary auditory cortex. Hear Res 61(1–2):1–11
Eggermont JJ (1994 Jan) Neural interaction in cat primary auditory cortex II. Effects of sound stimulation. J Neurophysiol 71(1):246–270
Eggermont JJ (2000 May) Sound-induced synchronization of neural activity between and within three auditory cortical areas. J Neurophysiol 83(5):2708–2722
Eggermont JJ, Epping WJ, Aertsen AM (1983) Stimulus dependent neural correlations in the auditory midbrain of the grassfrog (Rana temporaria L.). Biol Cybern 47(2):103–117
Eggermont JJ, Smith GM (1995 Nov 13) Rate covariance dominates spontaneous cortical unit-pair correlograms. Neuroreport 6(16):2125–2128
Eggermont JJ, Smith GM (1996 Aug) Neural connectivity only accounts for a small part of neural correlation in auditory cortex. Exp Brain Res 110(3):379–391
Epping WJ, Eggermont JJ (1987 May) Coherent neural activity in the auditory midbrain of the grassfrog. J Neurophysiol 57(5):1464–1483
Gawne TJ, Richmond BJ (1993 Jul) How independent are the messages carried by adjacent inferior temporal cortical neurons?. J Neurosci 13(7):2758–2771
Gerstein GL (2000 Jul 31) Cross-correlation measures of unresolved multi-neuron recordings. J Neurosci Methods 100(1–2):41–51
Gourévitch B, Eggermont JJ (2007 Jun 15) A simple indicator of nonstationarity of firing rate in spike trains. J Neurosci Methods 163(1):181–187
Grün S, Diesmann M, Aertsen A (2002 Jan) Unitary events in multiple single-neuron spiking activity: II. Nonstationary data. Neural Comput 14(1):81–119
Horikawa J, Tanahashi A, Suga N (1994 Jun 1) After-discharges in the auditory cortex of the mustached bat: no oscillatory discharges for binding auditory information. Hear Res 76(1–2):45–52
Joris PX, Louage DH, Cardoen L, van der Heijden M (2006 Jun–Jul) Correlation index: a new metric to quantify temporal coding. Hear Res 216–217:19–30
Kriener B, Tetzlaff T, Aertsen A, Diesmann M, Rotter S (2008 Sep) Correlations and population dynamics in cortical networks. Neural Comput 20(9):2185–2226
Krüger J (1991) Spike train correlations on slow time scales in monkey visual cortex. In: Krüger J (Ed) Neuronal cooperativity. Springer-Verlag, Berlin, Heidelberg, pp 105–132
Melssen WJ, Epping WJ (1987) Detection and estimation of neural connectivity based on crosscorrelation analysis. Biol Cybern 57(6):403–414
Meyer C, van Vreeswijk C (2002 Feb) Temporal correlations in stochastic networks of spiking neurons. Neural Comput 14(2):369–404
Moore GP, Segundo JP, Perkel DH, Levitan H (1970 Sep) Statistical signs of synaptic interaction in neurons. Biophys J 10(9):876–900
Neven H, Aertsen A (1992) Rate coherence and event coherence in the visual cortex: a neuronal model of object recognition. Biol Cybern 67(4):309–322
Nowak LG, Munk MH, Nelson JI, James AC, Bullier J (1995 Dec) Structural basis of cortical synchronization. I. Three types of interhemispheric coupling. J Neurophysiol 74(6):2379–2400
Perkel DH, Gerstein GL, Moore GP (1967 Jul) Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains. Biophys J 7(4):419–440
Ponomarenko SA, Agrawal GP, Wolf E (2004) Energy spectrum of a nonstationary ensemble of pulses. Optics Lett 29:394–396
Rosenberg JR, Halliday DM, Breeze P, Conway BA (1998 Aug 31) Identification of patterns of neuronal connectivity: partial spectra, partial coherence, and neuronal interactions. J Neurosci Methods 83(1):57–72
Singer W, Gray CM (1995) Visual feature integration and the temporal correlation hypothesis. Annu Rev Neurosci 18:555–586
Stark E, Drori R, Abeles M (2006) Partial cross-correlation analysis resolves ambiguity in the encoding of multiple movement features. J Neurophysiol 95:1966–1975
Staude B, Rotter S, Grün S (2008) Can spike coordination be differentiated from rate covariation?. Neural Comput 20:1973–1999
Tomita M, Eggermon JJ (2005) Cross-correlation and joint spectro-temporal receptive field properties in auditory cortex. J Neorophysiol 93:378–392
Toyama K, Kimura M, Tanaka K (1981 Aug) Organization of cat visual cortex as investigated by cross-correlation technique. J Neurophysiol 46(2):202–214
Valentine PA, Eggermont JJ (2004 Oct) Stimulus dependence of spectro-temporal receptive fields in cat primary auditory cortex. Hear Res 196(1–2):119–133
Van Drongelen W (2007) Signal processing for neuroscientists. Academic Press, Burlington
Van Stokkum IH, Johannesma PI, Eggermont JJ (1986) Representation of time-dependent correlation and recurrence time functions. A new method to analyse non-stationary point processes. Biol Cybern 55(1):17–24
Tetzlaff T, Rotter S, Stark E, Abeles M, Aertsen A, Diesmann M (2008) Dependence of neuronal correlations on filter characteristics and marginal spike train statistics. Neural Comput 20(9):2133–2184
Yang XW, Shamma SA (1990 May) Identification of connectivity in neural networks. Biophys J 57(5):987–999
Voigt HF, Young ED (1990 Nov) Cross-correlation analysis of inhibitory interactions in dorsal cochlear nucleus. J Neurophysiol 64(5):1590–1610
Zhan Y, Halliday D, Jiang P, Liu X, Feng J (2006 Sep 30) Detecting time-dependent coherence between non-stationary electrophysiological signals—a combined statistical and time-frequency approach. J Neurosci Methods 156(12):322–332
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Eggermont, J.J. (2010). Pair-Correlation in the Time and Frequency Domain. In: Grün, S., Rotter, S. (eds) Analysis of Parallel Spike Trains. Springer Series in Computational Neuroscience, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5675-0_5
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DOI: https://doi.org/10.1007/978-1-4419-5675-0_5
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