Systems and methods for designing a sequence for channel and data estimation code modulation

摘要

A method for using a numerical method to design a sequence for code modulating data is described. An input multiple input multiple output signal is determined. A nearest tight frame to one or more given structured vectors is obtained. One or more structured vectors is obtained from the nearest tight frame. The one or more structured vectors is projected onto the space of circulant matrices. One or more classes of matrices that indicates the design of the sequence is outputted. Data is code modulated using the designed sequence.