Upper bounds and construction techniques for signal sets with constrained synchronous correlation and specified time - bandwidth product (Corresp.)

Upper bounds are presented on the size of equal energy continuous time signal sets occupying a given time-bandwidth (TB) product under specified synchronous correlation constraints. Both time-limited (aperiodic) and periodic signal sets are addressed, with appropriate measures of bandwidth for each. Signal set construction techniques are derived which illustrate that the bounds for periodic signal sets are relatively tight, while those obtained for aperiodic signal sets are tight under certain conditions.