High Volume Communication Channels: A Mathematical Investigation
K. T. Arasu · 2000
Time-discrete one and two-dimensional sequences and arrays with perfect auto correlation functions are studied. Such sequences find applications in signal processing and as aperture functions for electromagnetic and acoustic imaging. Two dimensional perfect arrays are also applicable in 2-D synchronization and time frequency coding. Mathematical tools from algebraic number theory, representation theory and group theory are employed to investigate the theory of their existence leading to new families of these arrays and sane generalizations thereof.