Zero Autocorrelation Waveforms: A Doppler Statistic and Multifunction Problems

Author

Benedetto, John J. ; Donatelli, Jeffrey ; Konstantinidis, Ioannis ; Shaw, Christopher

Author_Institution

Dept. of Math., Maryland Univ., College Park, MD

Volume

5

fYear

2006

fDate

14-19 May 2006

Abstract

Constant amplitude zero autocorrelation (off the dc component) waveforms are constructed. These are called CAZAC waveforms. In the d-dimensional case they consist of N vectors, where N is given, and N is generally greater than d. The constructions are algebraic and have been implemented in user friendly software. They have the added feature that they are a spanning set for all d-dimensional signals. As such, and for N large, they are numerically stable in the presence of machine imperfections and they give good signal reconstruction in the presence of various noises. The one dimensional case provides effective thresholding to compute Doppler shifts

Keywords

Doppler shift; numerical stability; signal reconstruction; waveform analysis; CAZAC waveforms; Doppler shifts; Doppler statistic; constant amplitude zero autocorrelation waveforms; d-dimensional signals; dc component; machine imperfections; multifunction problems; numerical stability; signal reconstruction; spanning set; Autocorrelation; Doppler shift; Educational institutions; Filtering; Gold; Matched filters; Mathematics; Signal reconstruction; Statistics; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on

Conference_Location

Toulouse

ISSN

1520-6149

Print_ISBN

1-4244-0469-X

Type

conf

DOI

10.1109/ICASSP.2006.1661476

Filename

1661476