Ambiguity Function and Frame-Theoretic Properties of Periodic Zero-Autocorrelation Waveforms

Author

Benedetto, John J. ; Donatelli, Jeffrey J.

Author_Institution

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

Volume

1

Issue

1

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

6

Lastpage

20

Abstract

Periodic constant-amplitude zero-autocorrelation (CAZAC) waveforms u are analyzed in terms of the discrete periodic ambiguity function A _u. Elementary number-theoretic considerations illustrate that peaks in A_u are not stable under small perturbations in its domain. Further, it is proved that the analysis of vector-valued CAZAC waveforms depends on methods from the theory of frames. Finally, techniques are introduced to characterize the structure of A_u, to compute u in terms of A_u, and to evaluate MSE for CAZAC waveforms

Keywords

correlation methods; constant-amplitude zero-autocorrelation; discrete periodic ambiguity function; frame-theoretic properties; periodic zero-autocorrelation waveforms; vector-valued CAZAC waveforms; Autocorrelation; Internet; Mathematics; Quantization; Radar applications; Radar theory; Robustness; Signal analysis; Transmitting antennas; Wireless communication; Constant-amplitude zero-autocorrelation (CAZAC) waveforms; discrete periodic ambiguity function; frames;

fLanguage

English

Journal_Title

Selected Topics in Signal Processing, IEEE Journal of

Publisher

ieee

ISSN

1932-4553

Type

jour

DOI

10.1109/JSTSP.2007.897044

Filename

4200693