  The extragalactic background radiation produced by distant galaxies emitting
in the far infrared limits the sensitivity of telescopes operating in this
range due to confusion. We have constructed a model of the infrared background
based on numerical simulations of the large-scale structure of the Universe and
the evolution of dark matter halos. The predictions of this model agree well
with the existing data on source counts. We have constructed maps of a sky
field with an area of 1 deg$^2$ directly from our simulated observations and
measured the confusion limit. At wavelengths $100-300$ $\mu$m the confusion
limit for a 10-m telescope has been shown to be at least an order of magnitude
lower than that for a 3.5-m one. A spectral analysis of the simulated infrared
background maps clearly reveals the large-scale structure of the Universe. The
two-dimensional power spectrum of these maps has turned out to be close to that
measured by space observatories in the infrared. However, the fluctuations in
the number of intensity peaks observed in the simulated field show no clear
correlation with superclusters of galaxies; the large-scale structure has
virtually no effect on the confusion limit.
