Optimal design of spectrum constrained analog signal sets with correlation analysis

Author

Wang, Tao ; Yan, Wei-Yong ; Zang, Zhuquan

Author_Institution

Dept. of Electr. & Comput. Eng., Curtin Univ. of Technol., Perth, WA

Volume

53

Issue

8

fYear

2006

Firstpage

1828

Lastpage

1838

Abstract

This paper is concerned with the design of an optimal set of analog signals with prescribed magnitude spectrum and quadratic phase structure such that the maximum cross-correlation is minimized. An analytic expression for the maximum cross-correlation between two signals is derived through mathematical analysis. The optimal set of signals with the lowest maximum cross-correlation is explicitly characterized under certain conditions

Keywords

correlation methods; mathematical analysis; optimisation; signal synthesis; correlation analysis; magnitude spectrum; mathematical analysis; maximum cross correlation; optimal design; optimal signal set; quadratic phase structure; signal processing; spectrum constrained analog signal sets; Australia; Frequency domain analysis; Multiaccess communication; Object detection; Radar signal processing; Signal analysis; Signal design; Signal processing; Sonar detection; Upper bound; Analog signal set design; correlation analysis; minimax optimization; multiuser code-division multiple access (CDMA) communications; quadratic phase; spectrum constraint; time-bandwidth product;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2006.879053

Filename

1673651