Orthogonal exponential spline pulses for impulse radio communications

With application to the impulse radio communications in mind, a time-limited and zero-mean pulse which is orthogonal to its shifts by integers is sought among the exponential splines having the knot interval 1/2. An example pulse is obtained that complies with the regulation imposed by the US Federal Communications Commission and will potentially enable an impulse radio communications system as fast as 6 giga pulses per second.