AN APPROXIMATION OF GAUSSIAN PULSES
Sorin Pohoaţă, Nicolae Dumitru Alexandru, Adrian Popa
2011
Abstract
A new technique for generating an approximate replica of Gaussian pulses with good accuracy is proposed and investigated. The Gaussian function is approximated with a waveform that results from the convolution of two triangles. The proposed pulse performs better than other previously reported pulse. The results show good agreement not only for the Gaussian pulse but also for its first and second derivatives. As the triangular pulse generator is standard and widely used, the proposed technique needs besides it an appropriate filter.
References
- Alexandru, N. D, Davideanu, C., Cehan, V., Scripcariu, L., Pancescu, L., 1998. On a Class of Continous Pulse Shapes. In ICT'98, Porto Carras, Greece, June vol. I, pp. 208-212.
- Alexandru, N. D., Pohoata, S., 2009. Improved Nyquist Filters with a Transfer Characteristic Derived from a Staircase Characteristic Interpolated with Sine Functions. In Advances in Electrical and Computer Engineering, vol.9, No.2, Suceava, Romania, pp.103- 108.
- Beaulieu, N. C., Damen, M. O., 2004. Parametric construction of Nyquist-I pulses. In IEEE Trans. Commun., Vol. 52, pp.2134-2142.
- Bennett, W. R., 1958. Statistics of Regenerative Digital Transmission. In Bell System Techn. J., Vol. 37, pp.1501-1542.
- Berger, C. R., Eisenacher, M., Jäkel, H., Jondral F., 2006. Pulse Shaping In UWB Systems Using Semidefinite Programming with Non-Constant Upper Bounds. In PIMRC'06, http://www.ece.cmu.edu/crberger.
- Dimitrov, J., 1990. A bell-shape pulse generator. In IEEE Trans. on Instrumentation and Measurement; Vol.39, No.4, pp.667-670
- Dou, W. B., Yung, E. K. N., 2000. Spectrum transformation of Gaussian Pulse in Waveguide by FDTD and its Effect on Analysis of Discontinuity Problem. In Intern. Journal of Infrared and Millimeter Waves, Vol. 21, No.7, pp.1131-1139.
- FCC, 2002. In the matter of revision of part 15 of the commission's rules regarding ultra-wideband transmission systems. In Federal Communications Commission, First Report and Order
- Lu, G., Spasojevic, P., Greenstein, L., 2003. Antenna and Pulse Designs for Meeting UWB Spectrum Density Requirements. In IEEE Conf. on Ultra Wideband Systems and Technologies, pp.162 - 166.
- Luo, X., Yang, L., Giannakis, G. B., 2003. Designing Optimal Pulse-Shapers for Ultra-Wideband Radios. In Journal of Communications and Networks, Vol. 5, No. 4, pp.344-353.
- Murota, K. and Hirade, K., “GMSK Modulation for Digital Mobile Radio Telephony”, In IEEE Trans. Communications, Vol. COM-29, pp. 1044 - 1050, July 1981.
- Zhang, X., Elgamel, M., Bayoumi, M., Gaussian pulse approximation using standard CMOS and its application for sub-GHz UWB impulse radio. In International Journal of Circuit Theory and Applications, Vol.38, Issue 4, pp. 383-407, 2010
- Wentzloff, D. D., Chandrakasan, A. P., Gaussian pulse generators for subbanded ultra wideband transmitters. In IEEE Transactions on Microwave Theory and Techniques, Vol. 54, No.4, pp.1647-1655, 2006
Paper Citation
in Harvard Style
Pohoaţă S., Dumitru Alexandru N. and Popa A. (2011). AN APPROXIMATION OF GAUSSIAN PULSES . In Proceedings of the 1st International Conference on Pervasive and Embedded Computing and Communication Systems - Volume 1: PECCS, ISBN 978-989-8425-48-5, pages 359-364. DOI: 10.5220/0003357203590364
in Bibtex Style
@conference{peccs11,
author={Sorin Pohoaţă and Nicolae Dumitru Alexandru and Adrian Popa},
title={AN APPROXIMATION OF GAUSSIAN PULSES},
booktitle={Proceedings of the 1st International Conference on Pervasive and Embedded Computing and Communication Systems - Volume 1: PECCS,},
year={2011},
pages={359-364},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003357203590364},
isbn={978-989-8425-48-5},
}
in EndNote Style
TY - CONF
JO - Proceedings of the 1st International Conference on Pervasive and Embedded Computing and Communication Systems - Volume 1: PECCS,
TI - AN APPROXIMATION OF GAUSSIAN PULSES
SN - 978-989-8425-48-5
AU - Pohoaţă S.
AU - Dumitru Alexandru N.
AU - Popa A.
PY - 2011
SP - 359
EP - 364
DO - 10.5220/0003357203590364