Zero Autocorrelation Waveforms: A Doppler Statistic and Multifunction Problems

摘要

Constant amplitude zero autocorrelation 'off the dc component' waveforms are constructed. These are called CAZAC waveforms. In the d- dimensional case they consist of N vectors, where N is given, and N is generally greater than d. The constructions are algebraic and have been implemented in user friendly software. They have the added feature that they are a spanning set for all d-dimensional signals. As such, and for N large, they are numerically stable in the presence of machine imperfections and they give good signal reconstruction in the presence of various noises. The one dimensional case provides effective thresholding to compute doppler shifts.