TITLE:
Construction of Zero Autocorrelation Stochastic Waveforms
AUTHORS:
Somantika Datta
KEYWORDS:
Autocorrelation; Frames; Stochastic Waveforms
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
29,
2012
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 Cd are constructed from these waveforms and the frame properties of such frames are studied.