Constructive Approximation in Waveform Design
نویسنده
چکیده
Effective waveform design, for topics such as code division multiple access (CDMA), is essential to transmit many messages clearly and simultaneously on the same frequency band so that one user’s message does not become another user’s noise. Unimodular sequences are an essential characteristic for the applicability in communications and radar of waveforms whose autocorrelations have prescribed zero sets. Constructive approximations of unimodular sequences whose autocorrelations vanish on prescribed sets are made. The analysis depends significantly on Wiener’s Generalized Harmonic Analysis and on some number theoretic properties from the theory of uniform distribution of sequences. Periodic CAZAC (constant amplitude zero autocorrelation) codes are also designed. §
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