Dept. of Electr. Eng., National Taiwan Univ.Tsai, Chih-YungChih-YungTsaiSHYH-KANG JENG2007-04-192018-07-062007-04-192018-07-062005-07http://ntur.lib.ntu.edu.tw//handle/246246/200704191001367https://www.scopus.com/inward/record.uri?eid=2-s2.0-33846878931&doi=10.1109%2fAPS.2005.1552105&partnerID=40&md5=b956e02007ff87781f759744c2bd9c9eWe propose a novel circuit for generation of Legendre-polynomial-based pulses for use in impulse radio ultra wideband (UWB) communications Both parallel and serial generation of pulses of different order can be developed. Pulses are produced by applying Bonnet's recursion formula which can generate the Legendre polynomial functions of successive orders. This class of functions yield orthogonal pulses and have a constant pulse width regardless of the pulse order. This nice property can eliminate inter-symbol interference (ISI) such that these pulses are suitable for use in pulse position modulation (PPM) ultra wideband communication systems. © 2005 IEEE.application/pdf489572 bytesapplication/pdfen-USBroadband networks; Functions; Intersymbol interference; Polynomials; Product design; Pulse position modulation; Bonnet's recursion formula; Orthogonal pulses; Pulse width; Ultra wideband (UWB) communications; Pulse generatorsjournal article10.1109/APS.2005.1552105http://ntur.lib.ntu.edu.tw/bitstream/246246/200704191001367/1/01552105.pdf