Integer Sets with Distinct Sums and Differences and Carrier Frequency Assignments for Nonlinear Repeaters

The problem of assigningncarrier frequencies so as to avoid certain types (third and fifth order) of intermodulation interference is discussed. For the third-order case, close upper and lower bounds on the optimal solution are established; and close to optimal solutions are given forn < 100(previously, suboptimal solutions were known only forn ≤ 23). For the fifth-order case, it is shown that some existing results can be applied to this problem, and suboptimal solutions obtained by this construction are given forn ≤ 17(no solutions were known previously).