Design of a Legendre-polynomial-based orthogonal pulse generator for ultra-wideband communications
Journal
IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Journal Volume
2B
Pages
680-683
Date Issued
2005-07
Date
2005-07
Author(s)
Tsai, Chih-Yung
Abstract
We 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.
Other Subjects
Broadband networks; Functions; Intersymbol interference; Polynomials; Product design; Pulse position modulation; Bonnet's recursion formula; Orthogonal pulses; Pulse width; Ultra wideband (UWB) communications; Pulse generators
Type
journal article
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