Abstract
Noise correlation can easily occur in the densely connected systems observed in biological information processing. We study the consequences of noise correlation for a statistically optimal processing of noise-perturbed receptor array outputs. We find a critical importance of the noise correlation length as compared to the receptors' tuning width for both the structure and the performance of the ideal observer. We show the general consistency of our scheme with psychophysical discrimination thresholds obtained in human spatial vision.
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References
Ahumada Jr AJ (1987) Putting the visual system noise back in the picture. J Opt Soc Am A 4:2372–2378
Anderson TW (1958) An introduction to multivariate statistical analysis. Wiley, New York
Atick JJ, Redlich AN (1990) Towards a theory of early visual processing. Neural Comput 2:308–320
Barrett HH (1990) Objective assessment of image quality: effects of quantum noise and object variability. J Opt Soc Am A 7:1266–1278
Cornsweet TN, Pinsker HM (1965) Luminance discrimination of brief flashes under various conditions of adaptation. J Physiol 176:294–310
Geisler WS (1984) Physical limits of acuity and hyperacuity. J Opt Soc Am A 1:775–782
Green DM, Swets JA (1966) Signal detection theory and psychophysics. Wiley, New York
Hogg RV, Craig AT (1978) Introduction to mathematical statistics, 4th edn. Macmillan, New York
Johnson KO (1980a) Sensory discrimination: decision process. J Neurophysiol 43:1771–1792
Johnson KO (1980b) Sensory discrimination: neural processes preceeding discrimination decision. J Neurophysiol 43:1793–1815
Klein SA, Levi DM (1985) Hyperacuity thresholds of 1 sec: theoretical predictions and empirical validation. J Opt Soc Am A 2:1170–1190
Klein SA, Levi DM (1989) A simple model of resolution and position thresholds for blurred lines. Invest Opthalmol Vis Sci [Suppl] 30:245
Koenderink JJ, van Doorn AJ (1986) Representation of local geometry in the visual system. Biol Cybern 55:1–9
Levi DM, Klein SA (1990) Equivalent intrinsic blur in spatial vision. Vision Res 30:1971–1993
Määttänen LM, Koenderink JJ, Nienhuis B (1988) Contrast discrimination: invariant to spatial parameters. Vision Res 28:811–818
Mastronarde DB (1983) Correlated firing of cat retinal ganglion cells. I. Spontaneously active inputs to X- and Y-cells. J Neurophysiol 49:303–324
Pratt WK (1978) Digital information processing. Wiley, New York
Prucnal PR, Teich MC (1982) Multiplication noise in the humah visual system at threshold: 2. Probit estimation of parameters. Biol Cybern 43:87–96
Snippe HP, Koenderink JJ (1992) Discrimination thresholds for channel-coded systems. Biol Cybern; — (Ms 86)
Sperling G (1989) Three stages and two systems of visual processing. Spatial Vision 4:183–207
Srinivasan MV, Laughlin SB, Dubs A (1982) Predictive coding: a fresh view of inhibition in the retina. Proc R Soc Lond B 216:427–459
Tolhurst DJ, Movshon JA, Dean AF (1983) The statistical reliability of signals in single neurons in cat and monkey striate cortex. Vision Res 23:775–785
Varju D (1962) Vergleich zweier Modelle für laterale Inhibition. Kybernetik 1:200–208
Vogels, R, Spileers W, Orban GA (1989) The response variability of striate cortical neurons in the behaving monkey. Exp Brain Res 77:432–436
Westheimer G (1987) Visual acuity and hyperacuity: resolution, localization, form. Am J Optom Physiol Opt 64:567–574
Young RA (1987) The Gaussian derivative model for spatial vision: I. Retinal mechanisms. Spatial Vision 2:273–293
Zucker SW, Hummel R (1986) Receptive fields and the representation of visual information. Hum Neurobiol 5:121–128
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Snippe, H.P., Koenderink, J.J. Information in channel-coded systems: correlated receivers. Biol. Cybern. 67, 183–190 (1992). https://doi.org/10.1007/BF00201025
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DOI: https://doi.org/10.1007/BF00201025