论文信息 - Optimal design of spectrum constrained signal sets with correlation analysis

Optimal design of spectrum constrained signal sets with correlation analysis

The 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.

Tao Wang | Wei-Yong Yan | Zhuquan Zang

[1] Mark R. Bell. Information theory and radar waveform design , 1993, IEEE Trans. Inf. Theory.

[2] A. W. Rihaczek. Principles of high-resolution radar , 1969 .

[3] John G. Proakis,et al. Digital Communications , 1983 .

[4] M.B. Pursley,et al. Crosscorrelation properties of pseudorandom and related sequences , 1980, Proceedings of the IEEE.

[5] Edward A. Lee,et al. Digital communication (2. ed.) , 1994 .

[6] N. B. Chakrabarti,et al. Design of Sequences with Specified Autocorrelation and Cross Correlation , 1976, IEEE Trans. Commun..

[7] Hideyuki Torii,et al. An analysis of inter-cell interference considering cross-correlation function of spreading sequence in approximately synchronized CDMA systems , 2002, The 5th International Symposium on Wireless Personal Multimedia Communications.

[8] Jules S. Jaffe,et al. Signal set design with constrained amplitude spectrum and specified time-bandwidth product , 1996, IEEE Trans. Commun..

[9] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .

[10] Sergio Verdu,et al. Multiuser Detection , 1998 .

[11] Claude Carlet,et al. Spectral methods for cross correlations of geometric sequences , 2004, IEEE Transactions on Information Theory.

[12] S. Nordholm,et al. On the design of signal sets with constrained magnitude spectrum and phase structure , 2002 .