Band-Limited Random-Real-Zero Signals

Band-limited (BL) random-real-zero (RRZ) signals are a class of stationary stochastic processes whose zero crossings are the randomly perturbed zeros of a sinusoid. They are the only nontrivial examples known to date of band-limited signals whose correlation function and power spectrum can be computed exactly from a probabilistic description of their zeros. Such signals have optimal correlation characteristics, in the sense that their correlation function exhibits the maximum peak to sidelobe ratio attainable under a fixed bandwidth constraint.