vix.ing · top · new · best · stats · spec

Construction of zero autocorrelation stochastic waveforms

2012/07/20 by Somantika Datta, Datta, Somantika
Computer Science · Engineering · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #PAPR reduction in OFDM #Radar Systems and Signal Processing #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1207.5055

arxiv created 2012/07/20 · openalex publication_date 2012/07/20 · arxiv updated 2012/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related