The large-scale structure of high-redshift galaxies produces correlated ani
sotropy in the far-infrared background (FIRB). In regions of the sky where
the thermal emission from Galactic dust is well below average, these high-r
edshift correlations may be the most significant source of angular fluctuat
ion power over a wide range of angular scales, from similar to7' to similar
to3 degrees, and frequencies, from similar to 400 to similar to 1000 GHz.
The strength of this signal should allow detailed studies of the statistics
of the FIRB fluctuations, including the shape of the angular power spectru
m at a given frequency and the degree of coherence between FIRB maps at dif
ferent frequencies. The FIRB correlations depend on and hence constrain the
redshift-dependent spectral energy distributions, number counts, and clust
ering bias of the galaxies and active nuclei that contribute to the backgro
und. We quantify the accuracy to which Planck and a newly proposed balloon-
borne mission, Explorer of Diffuse Galactic Emissions, could constrain mode
ls of the high-redshift universe through the measurement of FIRB fluctuatio
ns. We conclude that the average bias of high-redshift galaxies could be me
asured to an accuracy of less than or similar to 1% or, for example, separa
ted into four redshift bins with similar to 10% accuracy.