Applying discrete mathematics to solve theoretical and practical problems of digital information transmission. Using the results of exploratory computation to reveal patterns, identify key examples, improve intuition, and so point the way to new results.
The aperiodic autocorrelation properties of sequences underlie many of the classical problems of digital sequence design, and remain relevant in modern applications such as radar, wireless transmission, and synchronisation. Some problems of particular interest are:
- The merit factor problem.
- The growth of the peak sidelobe level of binary sequences.
- The structure of Golay complementary sequences.
- The Barker sequence conjecture.