The capture effect can improve throughput of random multiple access protoco
ls. An exact model for evaluating the capture effect is proposed for noncoh
erent FSK demodulation (NCFSK) under a slow fading assumption. This model t
akes into account the bit decision process of the NCFSK demodulator in the
presence of both co-channel interference and noise. An approximate and simp
lified model is also presented for comparison. Additionally, a Gaussian ass
umption-based model is derived, which turns out to be too pessimistic for s
low fading channels. The capture effect is investigated by means of the pro
posed exact model in a low Earth orbit satellite channel. The result shows
that a relatively large link margin can result in a large capture probabili
ty, and consequently benefit slotted ALOHA protocols with a substantial thr
oughput improvement.