@inproceedings{ac1112f837b74c05974672cbc3a6554c,
title = "Fractional Fourier transform estimation of simple randomly sampled signals",
abstract = "Random sampling as a special kind of nonuniform sampling has been used as a digital alias-free signal processing method in analog-to-digital conversion. This paper presents the fractional Fourier transform estimation of nonstationary signals based on the simple random sampling. The spectrum estimation is proved to be unbiased. The variance of it is calculated to show the estimation effect. The effects of sampling jitters and observation errors on performance of the fractional spectrum estimation are analyzed. Among them, the sampling jitters introduce bias to the estimation. The bias can be compensated by the new defined fractional characteristic function. All of the analysis results are simulated and verified in the last numerical experiments.",
keywords = "Fractional Fourier transform, random sampling, sampling jitters, spectrum estimation, statistical analysis",
author = "Liyun Xu and Feng Zhang",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Conference on Signal Processing, Communications and Computing, ICSPCC 2016 ; Conference date: 05-08-2016 Through 08-08-2016",
year = "2016",
month = nov,
day = "22",
doi = "10.1109/ICSPCC.2016.7753732",
language = "English",
series = "ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "ICSPCC 2016 - IEEE International Conference on Signal Processing, Communications and Computing, Conference Proceedings",
address = "United States",
}