Analysis and synthesis of signal set with constrained magnitude spectrum

In this paper, a new method is introduced for designing signals with quadratic phase spectrum and constant magnitude spectrum at passband. This method is based on a recently found upper bound on the cross-correlation magnitude function. It is shown that in order to get lower values of the cross-correlation magnitude between any two signals in the set, the coefficients of phase function of signals should be equally spaced along one axis of an ellipse determined by the bandwidth and time duration of signals. Furthermore, a new tighter upper bound on maximum of cross-correlation magnitude is also given in the paper