论文信息 - Design of frequency modulated waveforms via the Zak transform

Design of frequency modulated waveforms via the Zak transform

This paper introduces a new technique for designing frequency modulated waveforms that have ambiguity functions with desirable properties, such as strong peaking at the origin and low sidelobes. The methods employed involve signal design in the Zak transform space, as well as the use of stationary phase arguments in the analysis of ambiguity functions.

I. Gladkova | I. Gladkova

[1] J. Zak. FINITE TRANSLATIONS IN SOLID-STATE PHYSICS. , 1967 .

[2] Irina Gladkova. Families of waveforms with good auto and cross ambiguity properties , 2001, Proceedings of the 2001 IEEE Radar Conference (Cat. No.01CH37200).

[3] A. Weil. Sur certains groupes d'opérateurs unitaires , 1964 .

[4] J. Brezin. Harmonic analysis on nilmanifolds , 1970 .

[5] A. Janssen. The Zak transform : a signal transform for sampled time-continuous signals. , 1988 .

[6] R. Serfling,et al. Asymptotic Expansions—I , 2006 .

[7] J. Zak. The Kq-Representation in the Dynamics of Electrons in Solids , 1972 .

[8] I. Gladkova. Zak transform and a new approach to waveform design , 2001 .

[9] I. M. Gelfand,et al. Eigenfunction expansions for equations with periodic coefficients , 1987 .

[10] Silverstein,et al. Zak Transform and a New Approach to Waveform Design , 2022 .