IEICE TRANSACTIONS on Fundamentals
Design of UWB Pulses in Terms of B-Splines
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.9 pp.2287-2298
- Publication Date
- 2005/09/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietfec/e88-a.9.2287
- Type of Manuscript
- Special Section PAPER (Special Section on Ultra Wideband Systems)
- Category
- Pulse Shape
Authors
Keyword
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Mitsuhiro MATSUO, Masaru KAMADA, Hiromasa HABUCHI, "Design of UWB Pulses in Terms of B-Splines" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 9, pp. 2287-2298, September 2005, doi: 10.1093/ietfec/e88-a.9.2287.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.9.2287/_p
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@ARTICLE{e88-a_9_2287,
author={Mitsuhiro MATSUO, Masaru KAMADA, Hiromasa HABUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of UWB Pulses in Terms of B-Splines},
year={2005},
volume={E88-A},
number={9},
pages={2287-2298},
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.},
keywords={},
doi={10.1093/ietfec/e88-a.9.2287},
ISSN={},
month={September},}
Copy
TY - JOUR
TI - Design of UWB Pulses in Terms of B-Splines
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2287
EP - 2298
AU - Mitsuhiro MATSUO
AU - Masaru KAMADA
AU - Hiromasa HABUCHI
PY - 2005
DO - 10.1093/ietfec/e88-a.9.2287
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2005
AB - 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.
ER -
English
