Coding Theory Information Theory and Radar
Abstract
This project provides a theoretical foundation for the development of algorithms to significantly expand radar functionality, given a facility capable of high levels of temporal and spatial diversity of waveforms and polarization, where the mode of operation can be rapidly scheduled. The long term aim is to exploit the diversity and flexibility provided by this advanced functionality through adaptive multidimensional waveform and polarization scheduling based on environment modeling and tracking, as well as multi-dimensional adaptive processing of the returns. In collaboration with Bill Moran (Melbourne) and Stephen Howard (DSTO, Australia) we found that the discrete Heisenberg-Weyl group provides a unifying framework for a number of important sequences significant in the construction of phase coded radar waveforms, in communications as spreading sequences, and in the theory of error correcting codes. Among the sequences which can be associated with the Heisenberg-Weyl group are the Golay or Welti sequences, which are pairs of sequences of unimodular complex numbers such that the sum of their individual auto-correlation functions forms delta spike or thumb tack.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2005
- Accession Number
- ADA434253
Entities
People
- Arthur R. Calderbank
Organizations
- Princeton University