Abstract

A detailed theory of the detection of sinusoidal gratings displayed with suprathreshold luminous fluctuations is developed by employing a previous model of the visual and decision-making systems. An important feature of the model is the organization of the photoreceptors and decision-making system into a set of parallel, independent photoreceptive field (PRF)-decision center channels that function like a set of parallel spatialfrequency filters, each associated with an independent threshold detector. A technique is proposed for determining the modulation sensitivity functions (MSFs) of single detection channels by obtaining threshold modulation (<i>M</i><sub><i>TN</i></sub>) data at a fixed sinusoidal grating frequency (ν) while varying the center frequency (ν<sub><i>c</i></sub>) of narrow-band luminous fluctuations caused by video noise (V<sub><i>N</i></sub>). The theory predicts that the ratio, at a given ν, of <i>M</i><sub><i>TN</i></sub> obtained as a function of ν<sub><i>c</i></sub> to the <i>M</i><sub><i>TN</i></sub> obtained without V<sub><i>N</i></sub> is proportional to the MSF of the particular channel for which the widths of the excitatory and inhibitory regions of the PRF equal a halfperiod of ν. Good agreement between theoretical curves and experimental data appearing in the literature provides strong corroboration of the theory.

© 1976 Optical Society of America

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  1. A. D. Schnitzler, J. Opt. Soc. Am. 66, 608 (1976).
  2. E. W. H. Selwyn and J. L. Tearle, Proc. Phys. Soc. Lond. 58, 33 (1946).
  3. See Perception of Displayed Information, edited by L. M. Biberman (Plenum, New York, 1973), p. 4.
  4. A. D. Schnitzler, J. Opt. Soc. Am. 63, 1357 (1973).
  5. D. H. Kelly, Vision Res. 12, 89 (1972).
  6. O. H. Schade, Sr., J. Opt. Soc. Am. 46, 721 (1956).
  7. F. W. Campbell and J. G. Robson, J. Physiol. (Lond.) 197, 551 (1968).
  8. C. Enroth-Cugell and J. G. Robson, J. Physiol. (Lond.) 187, 517 (1966).
  9. D. H. Kelly and R. E. Savoie, Perception and Psychophysics 14, 313 (1973).
  10. C. Blakemore and F. W. Campbell, J. Physiol. (Lond.) 203, 237 (1969).
  11. H. Pollehn and H. Roehrig, J. Opt. Soc. Am. 60, 842 (1970).
  12. The small signal transconductance in Eq. (9) depends on the bias votlage. The nonlinear relationship between beam current IB and bias voltage VG can be represented by IB = gmVγ.G, where gm is independent of VG and γ is typically 2. 5–3. 0. In terms of g′m and γ the small signal current-voltage relationship is ΔIB =γg′mVγ-1.GΔVG. Thus by comparing with Eq. (9), gm = γgmVγ-1G. Note, by Eqs. (9) and (10),that gm cancels informing the signal-to-noise ratio.
  13. F. W. Campbell and R. W. Gubisch, J. Physiol. (Lond.) 186, 558 (1966).

Biberman, L. M.

See Perception of Displayed Information, edited by L. M. Biberman (Plenum, New York, 1973), p. 4.

Blakemore, C.

C. Blakemore and F. W. Campbell, J. Physiol. (Lond.) 203, 237 (1969).

Campbell, F. W.

C. Blakemore and F. W. Campbell, J. Physiol. (Lond.) 203, 237 (1969).

F. W. Campbell and J. G. Robson, J. Physiol. (Lond.) 197, 551 (1968).

F. W. Campbell and R. W. Gubisch, J. Physiol. (Lond.) 186, 558 (1966).

Enroth-Cugell, C.

C. Enroth-Cugell and J. G. Robson, J. Physiol. (Lond.) 187, 517 (1966).

Gubisch, R. W.

F. W. Campbell and R. W. Gubisch, J. Physiol. (Lond.) 186, 558 (1966).

Kelly, D. H.

D. H. Kelly and R. E. Savoie, Perception and Psychophysics 14, 313 (1973).

D. H. Kelly, Vision Res. 12, 89 (1972).

Pollehn, H.

H. Pollehn and H. Roehrig, J. Opt. Soc. Am. 60, 842 (1970).

Robso, J. G.

C. Enroth-Cugell and J. G. Robson, J. Physiol. (Lond.) 187, 517 (1966).

Robson, J. G.

F. W. Campbell and J. G. Robson, J. Physiol. (Lond.) 197, 551 (1968).

Roehrig, H.

H. Pollehn and H. Roehrig, J. Opt. Soc. Am. 60, 842 (1970).

Savoie, R. E.

D. H. Kelly and R. E. Savoie, Perception and Psychophysics 14, 313 (1973).

Schade, O. H.

O. H. Schade, Sr., J. Opt. Soc. Am. 46, 721 (1956).

Schnitzler, A. D.

A. D. Schnitzler, J. Opt. Soc. Am. 63, 1357 (1973).

A. D. Schnitzler, J. Opt. Soc. Am. 66, 608 (1976).

Selwyn, E. W. H.

E. W. H. Selwyn and J. L. Tearle, Proc. Phys. Soc. Lond. 58, 33 (1946).

Tearle, J. L.

E. W. H. Selwyn and J. L. Tearle, Proc. Phys. Soc. Lond. 58, 33 (1946).

Other

A. D. Schnitzler, J. Opt. Soc. Am. 66, 608 (1976).

E. W. H. Selwyn and J. L. Tearle, Proc. Phys. Soc. Lond. 58, 33 (1946).

See Perception of Displayed Information, edited by L. M. Biberman (Plenum, New York, 1973), p. 4.

A. D. Schnitzler, J. Opt. Soc. Am. 63, 1357 (1973).

D. H. Kelly, Vision Res. 12, 89 (1972).

O. H. Schade, Sr., J. Opt. Soc. Am. 46, 721 (1956).

F. W. Campbell and J. G. Robson, J. Physiol. (Lond.) 197, 551 (1968).

C. Enroth-Cugell and J. G. Robson, J. Physiol. (Lond.) 187, 517 (1966).

D. H. Kelly and R. E. Savoie, Perception and Psychophysics 14, 313 (1973).

C. Blakemore and F. W. Campbell, J. Physiol. (Lond.) 203, 237 (1969).

H. Pollehn and H. Roehrig, J. Opt. Soc. Am. 60, 842 (1970).

The small signal transconductance in Eq. (9) depends on the bias votlage. The nonlinear relationship between beam current IB and bias voltage VG can be represented by IB = gmVγ.G, where gm is independent of VG and γ is typically 2. 5–3. 0. In terms of g′m and γ the small signal current-voltage relationship is ΔIB =γg′mVγ-1.GΔVG. Thus by comparing with Eq. (9), gm = γgmVγ-1G. Note, by Eqs. (9) and (10),that gm cancels informing the signal-to-noise ratio.

F. W. Campbell and R. W. Gubisch, J. Physiol. (Lond.) 186, 558 (1966).

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