Title :
Design of UWB pulses based on B-splines
Author :
Matsuo, Mitsuhiro ; Kamada, Masaru ; Habuchi, Hiromasa
Author_Institution :
Graduate Sch. of Sci. & Eng., Ibaraki Univ., Japan
Abstract :
The paper discusses the construction of UWB pulses on the basis of B-splines under the following conditions: (i) the B-splines are time-limited piecewise polynomials; (ii) the pulses are rectangular when their order is one and they converge to band-limited functions at the limit that their order tends to infinity; (iii) an analog circuit and a fast digital filter exist for the generation of B-splines. A constrained minimization technique is proposed for designing pulses so as to comply with the FCC spectral mask and satisfy basic requirements for UWB pulses.
Keywords :
analogue processing circuits; digital filters; minimisation; piecewise polynomial techniques; pulse shaping; splines (mathematics); ultra wideband communication; B-splines; FCC spectral mask; UWB communications system; UWB pulse design; analog circuit; band-limited functions; constrained minimization technique; fast digital filter; rectangular pulses; time-limited piecewise polynomials; Analog circuits; Digital filters; FCC; H infinity control; Minimization; Polynomials; Pulse circuits; Pulse generation; Pulse modulation; Spline;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465863
