Comparisons of various pulse shapes for DS-UWB signals over the UWB channel

• Published in: Telecommunication systems 2009-12, Vol.42 (3-4), p.213-222
• Main Authors: Öztürk, Ertan, Yilmaz, Ergin
• Format: Article
• Language: English
• Subjects: Analysis; Approximation; Artificial Intelligence; Bandwidths; Business and Management; Code Division Multiple Access; Computer Communication Networks; IT in Business; Performance evaluation; Probability Theory and Stochastic Processes; Radio frequency; Simulation; Spectrum allocation; Studies; Telecommunications systems; Wireless communications
• ISSN: 1018-4864; 1572-9451
• DOI: 10.1007/s11235-009-9181-x

In this paper, we first investigate the power spectral densities (PSD) of bipolar modulated Direct Sequence Ultra Wide Band (DS-UWB) signals using various pulse shapes under the FCC UWB emission mask. Considered pulse shapes are the first five derivatives of the Gauss pulse (p 1 , p 2 , p 3 , p 4 and p 5 ), the first four orthogonal modified Hermite waveforms, and Daubechies wavelets (db-q). It is observed in the PSD results that p 4 and p 5 Gauss pulses, the Daubechies (db-q) for q>4 comply with the FCC UWB rule by selecting proper values for the pulse duration. Then, we derive the pulse shape dependent probability of error expression for bipolar DS-UWB signals over the standard UWB channel. The five pulse shapes (p 4 , p 5 , db-5, db-6 and db-7) complying with the FCC emission mask are numerically compared by using the derived probability of error expression over the CM1 model of the Standard UWB channel. Results reveal that the Daubechies have better performance than those of the two Gauss pulses.