Design of UWB Pulses in Terms of B-Splines

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Author(s)

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.

Journal

  • IEICE Trans. Fundamentals, A

    IEICE Trans. Fundamentals, A 88(9), 2287-2298, 2005-09-01

    The Institute of Electronics, Information and Communication Engineers

References:  17

Cited by:  2

Codes

  • NII Article ID (NAID)
    110003213580
  • NII NACSIS-CAT ID (NCID)
    AA10826239
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    09168508
  • Data Source
    CJP  CJPref  NII-ELS 
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