By Myoung An
This self-contained ebook develops thought and algorithms resulting in systematic series layout in time-frequency area. the first software used is the Zak rework, which gives sparse illustration for the Fourier rework, convolution, and correlation. utilizing this multi-dimensional illustration, the authors build a wide category of series units pleasurable pairwise perfect correlation. The advanced algebraic research of sequences is changed by way of a sublime and effective geometric research of pictures, whose virtue is learned as an N to N! raise within the variety of excellent series sets.
Topics and features:
* Mathematical improvement of the speculation is illustrated with many examples.
* ordinary verbal exchange thought and Zak house tools are numerically compared.
* program parts coated contain pulse radar and sonar, multi-beam radar and sonar imaging structures, distant identity of dielectrics, and code department multiple-access communication.
* historical past is equipped in introductory chapters on matrix algebra, tensor items, and permutation groups.
* a listing of open difficulties is gifted and instructions for additional learn are discussed.
Ideal series layout in Time-Frequency Space is a wonderful reference textual content for graduate scholars, researchers, and engineers drawn to radar, sonar, and verbal exchange platforms. The paintings can also be used as a supplementary textbook for a graduate path or seminar on series layout in time-frequency space.