Click Modulation

In this paper we show how one may determine a sequence of equal intensity impulses or clicksπ ∑∞-∞ δ (t-tₖ)such that a desired bandpass signal, f'(t), may be obtained by filtering the clicks; i.e.f'(t) = π ∑∞-∞ K(t-tₖ),where K(t) is the impulse response of a suitable bandpass filter. The {tk} are found as the zeros of a bandlimited signal s(t), where if f(t), the bandpass signal whose derivative is f'(t), is sufficiently small, we also havef(t) = ∫∞-∞ q(x)K(t-x)dx,where q(x) is a square wave simply related to s(t).