Construction of zero autocorrelation stochastic waveforms

Abstract

Stochastic waveforms are constructed whose expected autocorrelation can be made arbitrarily small outside the origin. These waveforms are unimodular and complex-valued. Waveforms with such spike like autocorrelation are desirable in waveform design and are particularly useful in areas of radar and communications. Both discrete and continuous waveforms with low expected autocorrelation are constructed. Further, in the discrete case, frames for the d-dimensional complex space are constructed from these waveforms and the frame properties of such frames are studied.