Abstract
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 12. For the existence of real or complex-valued pulses, a necessary and sufficient condition is given in terms of the parameters of the dynamical system that shapes the exponential splines. The one for the existence of real-valued pulses is left as an open problem. Nonetheless, a real-valued example pulse is obtained that complies with the regulation imposed by the US Federal Communications Commission. This pulse will potentially enable an impulse radio communications system as fast as 6 giga pulses per second.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
