Multicomponent Signals Based upon Quadratic Congruences

摘要

High efficiency, multicomponent signals for maximization to signal-to-noise ratio are investigated. Maximization of signal-to-noise ratio in colored noise requires control of volume distribution of the signal ambiguity function and transmission of unity efficiency signals. Signal efficiency is defined as the ratio of average power to the peak power. It is concluded that the signals must be frequency hop pulse trains. Quadratic congruences are chosen to place the components in time-frequency space. The number theoretic properties of these signals provide bound on the position and amplitude of the various peaks of the signal ambiguity function. The trade-offs are shown between volume removal, number of component signals, and the time-bandwidth product. (Author)