Title :
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
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;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2006.879053
