On the output power division in a captured hard-limiting repeater

The purpose of this paper is to stimulate interest in captured limiters through examination of a common conjecture concerning the output power division of a hard-limiting satellite repeater when the repeater input, consisting of constant-envelope signals (with unrestricted spectral occupancy), is dominated (captured) by one strong signal. The other input signals (taken to be mutually independent) are sufficiently numerous and sufficiently small to allow the following conditions to exist: 1) Their sum can be approximated as a Gaussiano ise process with power in the repeater bandwidth equal to the sum of the individual (weak) signal powers. 2) The summed power at the repeater input of the weak signals is small compared to the strong signal.