Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Different ways of modeling spatial-frequency uncertainty in visual signal detection

Abstract

Inferior human signal-detection behavior compared with that of ideal observers has been explained by intrinsic uncertainty of the human observer with respect to certain signal parameters. One way to model this uncertainty is to assume that the observer simultaneously monitors multiple channels, corresponding to possible parameters. However, it is also conceivable to assume that an observer, uncertain about which channel to monitor, chooses a suboptimally tuned single filter. Finally, uncertainty may also cause the filter underlying a single channel to broaden. In this paper these different models are investigated with respect to spatial-frequency uncertainty for matched filters detecting Gabor signals. All three mechanisms predict a decrease in detection performance. However, it is shown that the resulting psychometric functions are different. While the slopes increase with uncertainty for the multiple-channel models, they decrease for a randomly chosen single channel. Broadening a single filter leads to parallel psychometric functions.

This is a preview of subscription content, log in to check access.

References

  1. Burgess A, Colborne B (1988) Visual signal detection. IV. Observer inconsistency. J Opt Soc Am [A] 5:617–627

  2. Burgess A, Ghandeharian H (1984a) Visual signal detection. I. Ability to use phase information. J Opt Soc Am [A] 1:900–905

  3. Burgess A, Ghandeharian H (1984b) Visual signal detection. II. Signal location identification. J Opt Soc Am [A] 1:906–910

  4. Campbell FW, Robson JG (1968) Application of Fourier analysis to the visibility of gratings. J Physiol (Lond) 197:551–566

  5. Creelman CD (1960) Detection of signals of uncertain frequency. J Acoust Soc Am 32:805–810

  6. Daugman J (1985) Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters. J Opt Soc Am [A] 2:1160–1169

  7. Davis T, Graham N (1981) Spatial frequency uncertainty effects in the detection of sinusoidal gratings. Vision Res 21:705–712

  8. Davis T, Kramer P, Graham N (1983) Uncertainty about spatial frequency, spatial position, or contrast of visual patterns. Percept Psychophys 33:20–28

  9. Graham N (1989) Visual pattern analysers. Oxford University Press, New York

  10. Green DM, Birdsall TG (1978) Detection and recognition. Psychol Rev 85:192–206

  11. Green DM, Swets JA (1966) Signal detection theory and psychophysics. Wiley, New York

  12. Hauske G, Wolf W, Lupp U (1976) Matched filters in human vision. Biol Cybern 22:181–188

  13. Hübner R (1993) On possible models of attention in signal detection. J Math Psychol 37:266–281

  14. Johnson DM, Hafter ER (1980) Uncertain-frequency detection: cueing and condition of observation. Percept Psychophys 28:143–149

  15. Mortensen U (1988) Visual contrast detection by a single channel versus probability summation among channels. Biol Cybern 59:137–147

  16. Nachmias J (1981) On the psychometric function for contrast detection. Vision Res 21:215–224

  17. Nolte LW, Jaarsma D (1966) More on the detection of one of m orthogonal signals. J Acoust Soc Am 41:497–505

  18. Papoulis A (1984) Probability, random variables, and stochastic processes (3rd edn). McGraw-Hill, New York

  19. Pelli DG (1985) Uncertainty explains many aspects of visual contrast detection and discrimination. J Opt Soc Am [A] 2:1508–1532

  20. Perkins ME, Landy MS (1991) Nonadditivity of masking by narrowband noises. Vision Res 31:1053–1065

  21. Swensson RG, Judy PF (1981) Detection of noisy visual targets: models for the effects of spatial uncertainty and signal-to-noise ratio. Percept Psychophys 29:521–534

  22. Swets JA (1984) Mathematical models of attention. In: Parasuraman R, Davis D (eds) Varieties of attention. Academic Press, New York, pp 183–242

  23. Van der Lugt A (1967) The effects of small displacements of spatial filters. Appl Opt 6:1221–1226

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Hübner, R. Different ways of modeling spatial-frequency uncertainty in visual signal detection. Biol. Cybern. 69, 457–462 (1993). https://doi.org/10.1007/BF00199445

Download citation

Keywords

  • Signal Detection
  • Detection Performance
  • Single Channel
  • Signal Parameter
  • Visual Signal