Design of UWB Pulses in Terms of B-Splines

  • Authors:

  • Mitsuhiro Matsuo;Masaru Kamada;Hiromasa Habuchi

  • Affiliations:

  • The authors are with the Department of Computer and Information Sciences, Ibaraki University, Hitachi-shi, 316-8511 Japan. E-mail: m-mitsuhiro@nifty.com, E-mail: kamada@cis.ibaraki.ac.jp, E-mail: ...;The authors are with the Department of Computer and Information Sciences, Ibaraki University, Hitachi-shi, 316-8511 Japan. E-mail: m-mitsuhiro@nifty.com, E-mail: kamada@cis.ibaraki.ac.jp, E-mail: ...;The authors are with the Department of Computer and Information Sciences, Ibaraki University, Hitachi-shi, 316-8511 Japan. E-mail: m-mitsuhiro@nifty.com, E-mail: kamada@cis.ibaraki.ac.jp, E-mail: ...

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2005

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Abstract

The present paper discusses a new construction of UWB pulses within the framework of soft-spectrum adaptation. The employed basis functions are B-splines having the following properties: (i) The B-splines are time-limited piecewise polynomials. (ii) The first-order B-splines are rectangular pulses and they converge band-limited functions at the limit that their order tends to infinity. (iii) There are an analog circuit and a fast digital filter for the generation of B-splines. Simple application of Gram-Schmidt orthonormalization process to the shifted B-splines results in a few basic pulses, which are well time-limited and have a broad band width, but do not comply with the FCC spectral mask. A constrained approximation technique is proposed for adaptively designing pulses so that they approximate target frequency characteristics. At the cost of using eleven shifted B-splines, an example set of four pulses comforting the FCC spectral mask is obtained.