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.
Highlights
MotivationDesigning unimodular waveforms with an impulse-like autocorrelation is central in the general area of waveform design, and it is relevant in several applications in the areas of radar and communications
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 useful in areas of radar and communications
Summary
Designing unimodular waveforms with an impulse-like autocorrelation is central in the general area of waveform design, and it is relevant in several applications in the areas of radar and communications. Instead of aperiodic waveforms that are defined on , in some applications, it might be useful to construct periodic waveforms with similar vanishing properties of the autocorrelation function. Comparison between periodic and aperiodic autocorrelation can be found in [15] Frame properties of frames constructed from these stochastic waveforms are discussed. This is motivated by the fact that frames have become a standard tool in signal processing. A mathematical characterization of CAZACs in terms of finite unit-normed tight frames (FUNTFs) has been done in [2]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
