We study the joint optimization of time and space resources within fre
e-space optical interconnect (FSOI) systems. Both analytical and simul
ation results are presented to support this optimization study for two
different models of FSOI cross-talk noise: diffraction from a rectang
ular aperture and Gaussian propagation. Under realistic power and sign
al-to-noise ratio constraints, optimum designs based on the Gaussian p
ropagation model achieve a capacity of 2.91 x 10(15) bits s(-1) m(-2),
while the rectangular model offers a smaller capacity of 1.91 x 10(13
) bits s(-1) m(-2). We also study the use of error-correction codes (E
CC) within FSOI systems. We present optimal Reed-Solomon codes of vari
ous length, and their use is shown to facilitate an increase in both s
patial density and data rate, resulting in FSOI capacity gains in exce
ss of 8.2 for the rectangular model and 3.7 for the Gaussian case. A t
olerancing study of FSOI systems shows that ECC can provide tolerance
to implementational error sources. We find that optimally coded FSOI s
ystems can fail when system errors become large, and we present a comp
romise solution that results in a balanced design in time, space, and
error-correction resources. (C) 1998 Optical Society of America.